Question 1: The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 31 technicians using the old method and the other 46 technicians using the new method. For the 31 technicians using the old method, the average time was 525 minutes with 47.7 standard deviation. For the 46 technicians using the new method, the average time was 520 minutes with 48.2 standard deviation. Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the test statistic value.


Question 2:

The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 39 technicians using the old method and the other 55 technicians using the new method.

For the 39 technicians using the old method, the average time was 582 minutes with 63.8 standard deviation.
For the 55 technicians using the new method, the average time was 542 minutes with 97.8 standard deviation.
Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.

Answers

Answer 1

Answer:

Question 1  

The test statistics is  [tex]t = 0.44[/tex]

The decision rule is

 Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Question 2

The degree of freedom is  [tex]df = 92 [/tex]

The decision rule is

Reject the null hypothesis  

The conclusion

There is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Explanation:

Considering Question 1

Here we are told to provide the test statistics

From the question we are told that

  The first sample size is  [tex]n_1 = 31[/tex]

  The second  sample size is  [tex]n_ 2 =  46[/tex]

   The first sample mean is  [tex]\= x_1 = 525 \ minutes[/tex]

    The first standard deviation is  [tex]\sigma_1 =  47.7[/tex]

    The second sample mean is  [tex]\= x_2 = 520 \ minutes[/tex]

   The second standard deviation is  [tex]\sigma_2 =  48.2[/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 31 + 46  -2[/tex]

=>    [tex]df = 75 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 525-  520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]

=> [tex]t = 0.44[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 75[/tex]

    [tex]P(t > 0.44 ) = 0.33060124 [/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.33060124[/tex]

=>   [tex]p-value  =  0.66120[/tex]      

From the value obtain we see that [tex]p-value  >  \alpha[/tex] hence we fail to reject the null hypothesis

The conclusion is that there is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Considering Question 2

Here we are told to provide the degree of freedom

From the question we are told

    The first sample size is  [tex]n_1 = 39[/tex]

     The first sample mean is  [tex]\= x_1 = 582 \ minutes[/tex]

     The first standard deviation is  [tex]\sigma_2 =  63.8[/tex]

     The second sample size is  [tex]n_ 2 =  55[/tex]

     The second sample mean is  [tex]\= x_2 = 542 \ minutes[/tex]

     The second standard deviation is  [tex]\sigma_2 =  97.8 [/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 39 + 55  -2[/tex]

=>    [tex]df = 92 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 582 -  542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]      

=>  [tex]t = 2.398[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 92 [/tex]

    [tex]P(t > 2.398 ) = 0.00925214[/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.00925214[/tex]

=>   [tex]p-value  =  0.0185[/tex]      

From the value obtain we see that [tex]p-value  <  \alpha[/tex] hence we reject the null hypothesis

The conclusion is that there is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels


Related Questions

Find the area and the perimeter of the figure

Answe ASAP test ina couple minutes

Answers

Answer:

Area of rectangle = (l×b)

=14×6

=84 metre²

Perimeter of rectangle= 2×(l+b)

=2×(14+6)

=2×20

40 metre/cm {as it is not given}

Step-by-step explanation:

Hope this helps you

Crown me as brainliest

Answer:

Step-by-step explanation:

To find the area you need to multiply the two length and height.

14 x 6

This would equal 84.

For the perimeter you add all the sides. Since there are four sides to a rectangle and a square, you add 2 of the corresponding sides to the equation.

14+14+6+6

Or

2(14+6)

Or

2(14) + 2(6)

Which equals 40.

PLEASEEEEE HELP

A researcher is interested in determining theeffectiveness of a new medication that may reduce blood sugar levels for individuals who have
diabetes and a higher than average blood sugar level. To determine the effectiveness of the medication, the researcher uses 100 volunteers
who have diabetes. Volunteers are assigned randomly 50 milligrams of the medicine, 100 milligrams of the medicine, or a placebo. Blood sugar
levels are measured at the beginning and end of the study.
Part A: Identify the subjects, treatments, and response variable. (2 points)
Part B: What is the advantage of the random assignment of treatment? (3 points)
Part C: What is an advantage of using a placebo? (3 points)
Part D: What is a disadvantage of using volunteers? (2 points)

Answers

Answer:

A: The subjects are the 100 patients who are being studied. The treatments are the amount and type of medicine they are getting, or whether they are getting a placebo. Lastly the response variable is the blood sauger in the patients at the end of the experiment. 

B: The advantage of the random assignment of treatment is that it reduces the possibility of bias and ensures that the treatments are the only factors that effect the response variable.

C: Using a placebo when experimenting ensures that the treatments are actually the ones causing the change in the response variables, and that the treatments themselves are not using the placebo effect.

D: Using volunteers can cause voluntary response bias. This is when members of the population are allowed to volunteer for an experiment. This could cause the sample used by the experiment to not accurately reflect the population as a whole. 

Step-by-step explanation:

I am not positive that these answers are correct, but I am reasonably sure.

What is the simplest form of
N3240215
bº?
b20)
(Assume that a 20
and
18ab3
* 1864
O 162ab3
162ab4
RETRY
done

Answers

Answer:

A

and the answer to part b is

C

Step-by-step explanation:

Answer:

the other man is right

Step-by-step explanation:

a then c so have nice day love yall

You play a game using fair dice and fair coins. First you flip 72 coins. For each coin that is a heads, you roll 5 six-sided dice. You sum all the six-sided dice you roll to calculate your total score. What is the expected total score from this game

Answers

Answer:

630

Step-by-step explanation:

Given that:

First flip = 72 coins

For each coin which is a head, you roll = 5, six-sided dice

Thus, the expected sum on a single six-sided dice = [tex]\sum x P(x)[/tex]

[tex]\sum x P(x)[/tex] = [tex]\dfrac{1}{6}\times (1+2+3+4+5+6)[/tex]

[tex]\sum x P(x)[/tex] = 3.5

Thus, the expected sum on the five six-sided dice = 5 × 3.5 = 17.5

However, for a single flip :

The expected sum = P(heads) × expected sum on 5 dice + P(tails) × expected sum on 0 dice.

Expected sum = [tex]\dfrac{1}{2} \times 17.5 + \dfrac{1}{2} \times 0[/tex]

Expected sum = 8.75

Hence, the expected total score from this game = 72 × 8.75 = 630

Seven cards are selected from a standard deck of cards. a) Determine the probability that exactly 5 of them are hearts. b) Determine the probability that there are 3 hearts and 3 diamonds. c) Determine the probability that there are 3 hearts, 3 diamonds and 1 spade. d) Determine the probability that there are 2 Aces and 2 Kings. e) Determine the probability that there are 2 Aces and 3 Kings.

Answers

Answer:

a

[tex]P(A_1)  =  0.007[/tex]

b

[tex]P(A_2) = 0.016[/tex]

c

[tex]P(A_3) =  0.008[/tex]

d

[tex]P(A_4) =  0.004[/tex]

e

[tex]P(A_5) =  0.0002[/tex]

Step-by-step explanation:

From the question we are told that

   The number of cards selected is  n = 7

Generally in a standard deck of cards

   The total  number of cards is  N  =  52

    The number of  hearts is  h = 13  

    The  number of diamonds is  d = 13

    The number of  spade is  s  =  13

    The number of  Ace is  a = 4

    The number of kings is  k =  4

Considering question a

   The number of ways to selected 5 hearts out of the  13 hearts is mathematically represented as

      [tex]G  =  ^{13}C_5[/tex]

Here C means combination so  

The number of cards that is not hearts  is  52 -  13  =  39

Generally the number of ways of selecting the reaming 2 cards is  

    [tex]H  =  ^{39}C_2[/tex]

Generally the number of ways to select the 7  cards from the 52 deck of cards is  

        [tex]V  =  ^{52}C_7[/tex]

Generally the probability that exactly 5 of the 7 cards  are hearts is mathematically represented as

     [tex]P(A_1)  =  \frac{G  *  H}{V}[/tex]

=>  [tex]P(A_1)  =  \frac{^{13}C_5  *  ^{39}C_2}{^{52}C_7}[/tex]

=>   [tex]P(A_1)  =  0.007[/tex]

Considering question b

     The number of ways to selected 3 diamonds out of the  13 diamonds is mathematically represented as

      [tex] B =  ^{13} C_3 [/tex]

The number of ways to selected 3 hearts out of the  13 hearts is mathematically represented as

      [tex]K  =  ^{13}C_3[/tex]

The number of cards that is not hearts or diamond  is  52 -  (13 +13)  =  26

Generally the number of ways of selecting the reaming 1 cards is  

    [tex]M  =  ^{26}C_1[/tex]

Generally the probability that there are 3 hearts and 3 diamonds is

    [tex]P(A_2) =  \frac{B  *  K *  M}{V}[/tex]

=> [tex]P(A_2) =  \frac{^{13}C_3  *  ^{13}C_3 *  ^{26}C_1}{^{52}C_7}[/tex]

=>  [tex]P(A_2) = 0.016[/tex]

Considering question c

The number of ways to selected 1 spade out of the  13 spade is mathematically represented as

     [tex]J = ^{13}C_1[/tex]

Generally the probability that there are 3 hearts, 3 diamonds and 1 spade is

   [tex]P(A_3) =  \frac{B *  K  *  J}{V}[/tex]

=> [tex]P(A_3) =  \frac{^{13}C_3 *  ^{13}C_3   *  ^{13}C_1}{^{52}C_7}[/tex]

=>  [tex]P(A_3) =  0.008[/tex]

Considering question d

The number of ways to selected 2 Aces out of the  4 Aces is mathematically represented a

     [tex]U = ^{4}C_2[/tex]

The number of ways to selected 2 Kings out of the  4 Kings is mathematically represented a

       [tex]R = ^{4}C_2[/tex]

The number of cards that is not Aces or Kings  is  52 -  (4 +4)  =  44

Generally the number of ways of selecting the reaming 3 cards is  

     [tex]S = ^{44}C_3[/tex]

Generally the probability that there are 2 Aces and 2 Kings is

    [tex]P(A_4) =  \frac{U *  R  *  S}{ V}[/tex]

=>  [tex]P(A_4) =  \frac{ ^{4}C_2 *  ^{4}C_2  *  ^{44}C_3}{ ^{52}C_7}[/tex]

=>[tex]P(A_4) =  0.004[/tex]

Considering question e

The number of ways to selected 3 Kings out of the  4 Kings is mathematically represented a

     [tex]P = ^{4}C_3[/tex]

Generally the number of ways of selecting the reaming 2 cards is  

      [tex]Q = ^{44}C_2[/tex]

Generally the probability that there are 2 Aces and 3 Kings is

     [tex]P(A_5) =  \frac{U  *  P  *  Q }{V}[/tex]

=>  [tex]P(A_5) =  \frac{ ^{4}C_2  *  ^{4}C_3  *  ^{44}C_2 }{^{52}C_7}[/tex]

=>  [tex]P(A_5) =  0.0002[/tex]

-167-(-12)=
answer it idk

Answers

Answer:

155

Step-by-step explanation:

All you do is subtract negetive 167 and take -12 away from 167.

-2004 because the -12 becomes a positive then you multiply-167 to 12

Please answer this correctly without making mistakes

Answers

Answer:

60%

Step-by-step explanation:

The shape is divided to 10 pieces and 6 of the pieces are painted if we multiply

6 put of 10 is orange therefore 60% of the sahpe is orange

Answer:

60%

Step-by-step explanation:

the number shaded divided bt the number of all division multiplied by 100

6÷10×100

=60%

A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.

Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?

Answers

Answer:

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu  =  \$ 356[/tex]

    The sample  size is n  =  30  

     The sample mean is [tex]\= x = \$340[/tex]

    The standard deviation is  [tex]\sigma =  \$ 90[/tex]

    The  null hypothesis is [tex]H_o  :  \mu =  \$ 35 6[/tex]

     The alternative hypothesis is   [tex]H_a  :  \mu \ne  \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

     [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>  [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=>  [tex]t =-0.9737 [/tex]

Generally the sample size from the question is  small that it is not greater than 30  hence we use t-test

Now the degree of freedom is mathematically represented as

     [tex]df =  n- 1[/tex]

=>   [tex]df =  30- 1[/tex]

=>   [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value =  2 P (t >  -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of  [tex]df= 29[/tex] for a two -tailed  test  is

     [tex]P (t >  -0.9737 ) =  0.33825793[/tex]

Hence p-value  is  

     [tex]p-value =  2*0.33825793[/tex]

      [tex]p-value =  0.676 [/tex]

From the value we obtained we see that  [tex]p-value  >  \alpha[/tex] hence

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

NEED HELP WITH MATH! Will Give Brainliest! Image is below.

Answers

Answer:

I BELIEVE the answer is 3.

Step-by-step explanation:

However, I could be wrong, but I do know it's between 1 and 3.

Y-4>3 solve the question

Answers

Answer:

y>7

Step-by-step explanation:

y-4>3

+4     +4

y>7

if you have a class RIGHT NOW ethier google classroom are zoom let me crash it if yall board

Answers

Answer:

i have a class now but i will get in trouble sry

Step-by-step explanation:

Answer:

Meeting ID: 851 5556 0217

Step-by-step explanation:

i hate school proceed as you wish good sir! :)

meeting starts at 11:10 btw

We
Shannon makes and sells picture frames. She charges different rates depending on the material she uses for the frame Shannon sold a frame
for $45. Which type of frame did Shannon sell? Use the drop-down menus to show and explain your answer
Frame Prices
Wood frame
$18
Metal frame
1.5 times wood frame rate
2.5 times wood frame rate
Silver-plated frame
Shannon bought the Choose
frame because 45
Choose...
= $18, which is the wood frame rate.

Answers

Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.

Step-by-step explanation:

I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.

Which statement correctly describes the expression ( - 15)3?

Answers

Answer: One factor is positive and one is negative, so the product will be negative.

Answer:

One factor is positive and one factor is negative, so the product will be negative

Step-by-step explanation:

If you see there (-15)3 so -15 is a negative number and 3 is a positive and when you multiple a negative number with a positive number it becomes negative.

What is 4/9 - 1/3 =
help

Answers

1/9

Hope this helps! :))

Answer:djjdd

Please I love free points secy

Step-by-step explanation:

Ok but guys is 10009

Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place

Answers

Answer:

Austin is correct.

Step-by-step explanation:

19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.

Answer:

Neither are correct.

Step-by-step explanation:

8.21:

Tens Place - 0

Ones Place - 8

Tenths Place - 2

Hundredths Place - 1

19.5:

Tens Place - 1

Ones Place - 9

Tenths Place - 5

Hundredths Place - 0

None of the places are in common, so neither Jeffery nor Austin is correct.

Determine the measure of < 7
o 53
o 133
o 127
o 47

Answers

Answer:
• 127

Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127

Hope this helps! Good luck :)

Angle 9 and angle 8 are what kind of angles? *
2
8/1
6/5
11/12
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Exterior Angles
What is the value of x.

Answers

Answer:

Angle 9 and Angle 8 they are the same

Step-by-step explanation:

Answer:

1,2,5

Step-by-step explanation:

In developing their warranty policy, an automobile company estimates that over a 1-year period 17% of their new cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. If you bought two cars from this company, what is the probability that neither will need repair over a 1-year period

Answers

Answer:

Step-by-step explanation:

OVER A 1-YEAR PERIOD, it is estimated that

17 + 7 + 4 = 28% of new cars will need repairs (ranging from one repair to infinity number of repairs)

This means that the remaining percentage of new cars will NOT need any repairs over the 1-year period.

This percentage is 100 - 28 = 72%

The question is reframed thus: If you bought 2 cars from this company, what is the probability that none of them will need repair over the 1-year period?

What is the probability that none of the 2 cars falls within the 28% of cars which will need repair in the 1-year period?

72% = 72/100 = 0.72

this is the probability that a single car will not need repairs

the probability that 2 cars from this company will not need repair over a year is  0.72 ÷ 2 = 0.36

(-7, 13); slope = -2 Write the equation of the line in slope-intercept form with the given point and slope or two points.

Answers

Answer:

y=-2x-1

Step-by-step explanation:

13=-2*-7+b

13=14=b

-1=B

The equation of the line in the slope-intercept form will be 2x+y+1=0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

The coordinate of the points are (x,y) = (-7, 13)

Slope, m = -2

The standard equation of a line is,

y = mx+c

Substitute the given coordinate value in order to find the intercept value as

13=-2×-7+c

13-14=c

-1=c

Put the values in the standard equation,

y = mx+c

y=-2x-1

Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

What other story element is most affected by the narrator's point of view?

Answers

Answer:

I belive it is the theme that is the most affected.

Step-by-step explanation:

Answer:

answer is the setting!!!!!!!!!!!!!!!!!!!!!

mass and weight math​

Answers

Answer: There is 1,000 milligrams in 1 gram.

Answer:

1000mg

Step-by-step explanation:

to be honest that's the obvious answer

and in advance

1kg=1000000mg

1kg=1000g

1g=1000g

Matt was standing 3 feet from the edge of the pool he walked away from the pool for four seconds then he was 12 feet away from the edge of the pool

Answers

Answer: graph b

Step-by-step explanation:

5. If three times a number is increased by 4, the result is -8.

Answers

False

I think that’s right because three times 5 is 15 increased by four is 19 not -8 so...

Step-by-step explanation:

Hey there!

Let the unknown number be x. Then;

According to the question;

3x+4= -8

3x = -12

x = -12/3

Therefore, x = -4

Check:

3*-4 +4 = -8

-12+4 = -8

-8= -8 (True).

Hope it helps...

A 190-second song is divided into 3 parts, the beginning, the middle, and the end. The beginning is 1/6 as long as the end. The middle part is 1/2 as long as the end. Find the length of each part.

The beginning is ____ seconds
The middle is _____ seconds
The end is ______ seconds

Answers

Answer:

The beginning part is 19 seconds.

The middle part is 57 seconds.

The end part is 114 seconds.

Step-by-step explanation:

First, you have to form expressions. Let the end part be x :

Beginning = (1/6)x

Middle = (1/2)x

End = x

Next, you have to add up altogether equals to 190 :

(1/6)x + (1/2)x + x = 190

(5/3)x = 190

x = 190 ÷ (5/3)

x = 114 s

Lastly, you have to substitute the x-value into the expressions :

Beginning = (1/6)(114) = 19 s

Middle = (1/2)(114) = 57 s

End = 114 s

Answer:

b is 19 seconds

m is 57 seconds

e is 114 seconds

Step-by-step explanation:

total = b + m + e

total = 1/6e + 1/2e + e

190 = 1/6e + 1/2e + e

190 = 10/6e

190 * 3/5 = e

114 = e

(1/6)e = b = (1/6)(114) = 19

(1/2)e = m = (1/2)(114) = 57

Zach mows lawns. He charges $5 plus $3 per hour. Alex also mows lawns He charges $2 plus $4 per hour. How many hours do they need to work to make the same amount

Answers

Answer:

They both need to work 3 hours to get the same amount of $14.

Step-by-step explanation:

If you have a graphing calculator handy, just graph the two expressions 3x + 5 and 4x + 2 and look for the point where they intersect. If you don't have a graphing calculator set up the equation 3x + 5 = 4x + 2. Subtract 4x from both sides to get -x + 5 = 2. Then subtract 5 from both sides to get -x = -3. Since x shouldn't be negative, divide both sides by -1. You do this because just like x is 1x, -x is -1x. After dividing, you should get x = 3.

Write an example that is not an integer

Answers

Answer:

1/2, 1/4 3/72, .50, .25, etc.

Step-by-step explanation:

An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.

if you want to talk about negative numbers, then -5 1/4 -7.75 and -1/2 are NOT integers, due to the rule “integers do not have or include any fractional or decimal parts,” therefore that’s my answer.

a bowl contains 4 yellow marbles, 5 red marbles, 1 blue marbles, and 3 green marbles. find the probabilityof the given outcome

Answers

Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

Ellie read an article claiming that 10% of people in her county were senior citizens, and she thought that it may be higher for residents in her city. She took a random sample of 225 people from her city and found that 36 of them were senior citizens. She wants to test H0:p=0.10 versus Ha:p > 0.10, where p is the proportion of people in her city that are senior citizens. Assuming that the conditions for inference have been met.

Required:
Calculate the test statistic for Ellie's significance test.

Answers

Answer:

The  value is [tex]z = 3[/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion of senior citizens is  [tex]p  = 0.10[/tex]

   The  sample size is  [tex]n  = 225[/tex]

   The  number of senior citizens is  k =  36

   The  null hypothesis is  [tex]H_o :  p =  0.10[/tex]

    The alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^{p} =  \frac{k}{n}[/tex]

=>   [tex]\^{p} =  \frac{  36 }{225}[/tex]

=>  [tex]\^{p} =0.16[/tex]

Generally the test statistics is mathematically represented as

     [tex]z =  \frac{\^{p}  -  p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]

=>    [tex]z =  \frac{0.16 -  0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]

=>    [tex]z = 3[/tex]

Answer:

P-value ≈ 0.0588

Step-by-step explanation:

(1,0) (2,1) put into standard form

Answers

Answer:

(1,0) (2,1) = (0) (2,1) = (0) (2) = 0

Step-by-step explanation:

1,0 is multiplication which would be 0 and the same applies for 2,1 which would be 2. 0 x 2 is 0 you know it's multiplication because there's no symbol between the parenthesis.


Solving a System of Linear Inequalities

Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?

Answers

Slope is 4/5
Y intercept is 0,-1/5

Answer:

y = 4/5x -1/5

Step-by-step explanation:

4x -5y = 1

-5y = -4x + 1

5y = 4x - 1

y = 4/5x - 1/5

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