Answer:
a) Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539
b) [tex]t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5[/tex]
The degrees of freedom are given by:
[tex]df=n-1=49-1=48[/tex]
The p value is given by:
[tex]p_v =P(t_{(48)}<-1.5)=0.07[/tex]
c) [tex]7359-2.01\frac{840}{\sqrt{49}}=7117.8[/tex]
[tex]7359+2.01\frac{840}{\sqrt{49}}=7600.2[/tex]
d) For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval
Step-by-step explanation:
Part a and b
Data given
[tex]\bar X=7359[/tex] represent the sample mean
[tex]\sigma=840[/tex] represent the population standard deviation
[tex]n=49[/tex] sample size
[tex]\mu_o =7539[/tex] represent the value to test
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to verify
We want to verify if the mean life is different from 7539 hours, the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 7539[/tex]
Alternative hypothesis:[tex]\mu < 7539[/tex]
The statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5[/tex]
The degrees of freedom are given by:
[tex]df=n-1=49-1=48[/tex]
The p value is given by:
[tex]p_v =P(t_{(48)}<-1.5)=0.07[/tex]
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539
Part c
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
We can find the critical value using the confidence level given of 95% and using the t distribution with 48 degrees of freedom we got [tex]t_{\alpha/2}=\pm 2.01[/tex]
Now we have everything in order to replace into formula (1):
[tex]7359-2.01\frac{840}{\sqrt{49}}=7117.8[/tex]
[tex]7359+2.01\frac{840}{\sqrt{49}}=7600.2[/tex]
Part d
For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval
REDUCE EACH FRACTION TO ITS LOWEST TERM
1) 56/72
2) 20/90
3) 8/64
4) 10/50
5) 48/54
6) 5/10
7) 15/20
8) 30/110
9) 7/49
10) 10/35
11) 16/20
12) 9/30
13) 12/40
14) 5/60
15) 6/15
16) 15/50
17) 3/12
18) 8/36
19) 80/90
20) 8/22
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Answer:
This is so you can give the person above me brainly
Step-by-step explanation:
two solutions of salt water contain 0.1% and 0.22% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.19% salt. How much of each solution should she use?
Answer:
0.25 L at 0.1% and 0.75 L at 0.22%
Step-by-step explanation:
We have to:
percent quantity
Salt solution # 1 0.1 x L
Salt solution # 2 0.22 (1 - x) L
Mixture 0.19% 1
We are left with the following equation:
0.1 * x + 0.22 * (1-x) = 0.19 * 1
solving:
0.1 * x + 0.22-0.22 * x = 0.19
0.1 * x- 0.22 * x = 0.19 - 0.22
-0.12 * x = -0.03
x = -0.03 / -0.12
x = 0.25
Which means
Salt solution # 1 0.1% 0.25 L should be used and for salt solution # 2 0.22% 0-75 (1 - 0.25) L
Find the area of ABC if area of Triangle formed by joining midpoint of the sides
is 25 sq units
Answer: Wait so the sides are both 25 squares?
Step-by-step explanation:
Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4 * 2^8
Answer:
Both expressions have different base.
Step-by-step explanation:
Product rule can only be use for the similar bases. For example 2² × 2⁴ have the same base.
For this question, 3⁴ × 2⁸ have different bases which is 3 and 2.
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
O x= -3
O x= -1
O x = 0
O x= 3
Answer:
x = 0
Step-by-step explanation:
2(x-3)+9=3(x+1)+x . . . . given equation
2x -6 +9 = 3x +3 +x . . . . eliminate parentheses
2x +3 = 4x +3 . . . . . . . . collect terms
0 = 2x . . . . . . . . . . . . . . subtract (2x +3)
x = 0 . . . . . . . . . . . . divide by 2
Answer:
[tex]x = 0[/tex]
Third answer is correct.
Step-by-step explanation:
[tex]2(x - 3) + 9 = 3(x + 1) + x \\ 2x - 6 + 9 = 3x + 3 + x \\ 2x - 3x - x = 6 - 9 + 3 \\ - 2x = 0 \\ \frac{ - 2x}{2} = \frac{0}{2} \\ x = 0[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Una pregunta porque ella no me ama ? :,v
Answer: Porque no te merecen
Step-by-step explanation:
a rental car cost $20 per day, and a room cost $50 per day, for how many days can a room and car be rented, so that the total cost does not exceed $350
Answer:
5
Step-by-step explanation:
The total cost per day is $20 +50 = $70. Then the number of days that expenditure can be made on a budget of $350 is ...
$350/($70/day) = 5 days
Answer:
Step-by-step explanation:
let number of days =x
(20+50)x≤350
70 x≤350
x≤350/70
or x≤5
He can rent both at the most 5 days.
An urban planner is researching commute times in the San Francisco Bay Area to find out if commute times have increased. In which of the following situations could the urban planner use a hypothesis test for a population mean? Check all that apply. Group of answer choices The urban planner asks a simple random sample of 110 commuters in the San Francisco Bay Area if they believe their commute time has increased in the past year. The urban planner will compute the proportion of commuters who believe their commute time has increased in the past year. The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic study from last year claimed that the average commute time in the San Francisco Bay Area is 45 minutes. The urban planner will see if there is evidence the average commute time is greater than 45 minutes. The urban planner asks a random sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a Tuesday morning. The urban planner will see if the difference in commute times shows an increase.
Answer:
Step-by-step explanation:
The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic Study from last year claimed that the average commute time in the San Francisco Bay Area is 45 min. The urban planner will see if there is evidence the average commute time is greater than 45 minutes
( Here in this case, Null hypothesis will be Η :μ = 45
And the Alternate Hypoyhesis will be H, :μ> 45 )
C. The urban planner asks a random Sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a tuesday morning . The urban planner will see the difference in commute time shows an increase.
Here in this case the null hypothesis will be, H₀ : [tex]\mu _d[/tex] = 0
And the Alternate Hypothesis will be H, : [tex]\mu _d[/tex] <0 The commute time after 1 year is more
Answer:
Step-by-step explanation:
The required hypothesis test is that for a single population mean. It wouldn't involve population proportion or difference between two population means. The correct answer choice would be
A traffic study from last year claimed that the average commute time in the San Francisco Bay Area is 45 minutes. The urban planner will see if there is evidence the average commute time is greater than 45 minutes.
Jorge is making six large salads. how many cherry tomatoes will he need
Answer:
As many as he thinks is enough
Step-by-step explanation:
1. There is no specific wag to answer this it has no answer choices or any type of math hint of how many cherries he wants.
Walter is conducting an experiment using a spinner with 4 equal sections. Which number of trials will lead to experimental outcomes that are most similar to his predicted outcomes? 4 25 40 90
HURRY ILL GIVE YOU 60 POINTS!!!!
Answer:
90
Step-by-step explanation:
I took the test and 90 gives u the most variability in your outcome so ur answer is more reliable.
Answer:
the person above me is right its 90
Step-by-step explanation:
i did the unit test
Which expression represents the length of the hypotenuse, c, of the triangle below?
C
b
a? - 62
va2 +62
a? + b2
a2
62
Answer:
Length of hypotenuse = √( a² + b²)
Step-by-step explanation:
The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.
Find attached the diagram used in solving the question.
From the diagram,
a = opposite
b = adjacent
c = hypotenuse
To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.
Using Pythagoras theorem
Hypotenuse² = opposite ² + adjacent²
Insert the values of each, we have:
c² = a² + b²
Then we find the Square root both sides
c = √( a² + b²)
So we can insert the values of a and b if we are given.
For instance, if b = 6
c = √( a² + 6²)
Using the diagram,
Hypotenuse: c = √( a² + b²)
Answer:
Step-by-step explanation:
x^2- 20x + y^2 - 10y+25=0
Identify the value of the radius and center is the circle
Answer:
Center = (10, 5)
Radius = 10
Step-by-step explanation:
Look at the picture
In the past month, Rafael rented 4 video games and 1 DVD. The rental price for each video game was $2.30. The rental price for the DVD was $3.30 . What is the total amount that Rafael spent on video game and DVD rentals in the past month?
Answer:
$12.50
Step-by-step explanation:
(2,30*4)+3.30
9.20+3.30=12.50
Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Enter your answer in the box.
Answer:
See I don't know the answer but I did another one like this if it doesn't help you can report it no problem
Step-by-step explanation:
There are 2 different ways you can solve this problem and you'll get the same answer.
To help you visualize what you have to do, it might be easiest to translate your problem to a unit that easier to use.
Since you only have a ribbon 5 feet long, but you must cut it into 6 pieces, you know it won't even be 1 foot long.
One way to solve the problem would be to translate your 5-foot ribbon into a ribbon divided into inches.
1 foot = 12 inches
To find out how many inches long your ribbon is, you'll need to multiply the number of feet by 12.
Once you know that, then you can more easily divide it by 6. This will tell you how many inches each ribbon is.
Careful! the answer is to be put into feet so once you know how many inches long the ribbon is, you must then divide by 12 to get the correct answer in feet. Don't forget to round to the nearest tenth.
Another way to solve the problem is to simply divide the 5 feet by the number 6 and then round your number to the nearest tenth. It may be harder to visualize the answer this way, but you will get the same answer as if you translated your ribbon into inches and then divided by 12.
Good luck! I hope this helps!
Which line segment is not a diagonal through the interior of the cube shown? Side B E Side C H Side C E Side D G
Answer
Your answer is C.
C. side CE
Answer:
C
Step-by-step explanation:
I WILL MARK AS BRANLIEST
65 POINTS!
Solve the system of equations using subtraction.
{y=x+4
{y=2x+4
Answer:
x=0, y=4
(0,4)
Step-by-step explanation:
y=x+4
y=2x+4
The directions say substitution not subtraction
Set the two equations equal to each other
x+4 = 2x+4
Subtract x from each side
x+4-x = 2x+4-x
4 = x+4
Subtract 4 from each side
4-4 =x+4-4
0 =x
Now find y
y = x+4
y = 0+4
y = 4
Answer:
(0, 4)
Step-by-step explanation:
Our two equations are:
y = x + 4
y = 2x + 4
We need to use substitution, so let's substitute x + 4 in for y in the second equation:
y = 2x + 4
x + 4 = 2x + 4
x = 0
Plug this value back into one of the equations to solve for y:
y = x + 4
y = 0 + 4 = 4
Thus, the answer is (0, 4).
in triangleABC the side lengths are b=13, ac=21 and bc=x. write a compound inequality the represents the range of possible values for x
Answer:
8 < x < 34
Step-by-step explanation:
ab = 13, ac = 21, bc = x
The longest side of a triangle must be less than the sum of the other two sides.
If 21 is the longest side:
21 < 13 + x
8 < x
If x is the longest side:
x < 13 + 21
x < 34
Therefore, 8 < x < 34.
Answer quick please i will mark brainliest:
1. 5 3/4 + 2 11/12
2. 5 1/2 - 1 2/7
3. 5 1/2 - 2 11/12
4. 5 3/4 - 2 11/12
5. 3 1/3 + 4 1/12
6. 7/10 - 1/4
7. 11/18 + 3/9
8. 4 1/12 - 3 1/3
9. 13/15 - 2/5
10. 2 5/6 + 3 2/5
11. 11/18 - 1/6
Look at the attached picture
Hope it will help you....
Good luck on your assignment
A general rule-of-thumb for used car dealers is that the trade-in value of a car decreases by 30%
each year. How much will a $25,000 car be worth in 6 years?
Answer:
-$20,000
Step-by-step explanation:
30% of $25,000 is $7,500 Therefore..
$7,500 x 6 = $45,000 ( 6 being the years )
$45,000 - $25,000 = $20,000
Hope this helps.
-Conrad
Which point has coordinates (-3,-5)
Y
U
W
Z
Answer:
U
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST!!
Rewrite the expression in the form 5^n
(5^3)^2 =
Answer: 5^6
Step-by-step explanation:
Since the expression has parenthesis, it means to multiply. When you multiply the powers, you get it in the form 5^n.
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation of 14 pounds.
Answer:
There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the liquid diet yields a higher mean weight loss than the powder diet.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0[/tex]
The significance level is 0.05.
The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.
The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.
The difference between sample means is Md=-3.
[tex]M_d=M_1-M_2=42-45=-3[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-1=49+36-2=83[/tex]
This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t<-1.04)=0.15[/tex]
As the P-value (0.15) is greater than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet.
help please!!! screenshot
The probabilty of being born a male is 0.466. The probabilty of being born in north america is 0.153846. The probabilty of being born in an urban location is 0.3571428. Find the exact probabilty that a baby will be born a male, in North America, in an urban location
Answer:0.0256
Step-by-step explanation:
Given
Probability of being a male is [tex]P_1=0.466[/tex]
Probability of being born in america is [tex]P_2=0.153846[/tex]
Probabilty of being born in an urban location is [tex]P_3=0.3571428[/tex]
So probabilty of that a baby will be born a male,in North america, in an urban area=P
Since, [tex]P_1, P_2, P_3[/tex] are independent of each other therefore
[tex]P=P_1\times P_2\times P_3[/tex]
[tex]P=(0.466)\times (0.153846)\times (0.3571428)[/tex]
[tex]P=0.02560[/tex]
The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Enjoli’s Graph
Answer:
(A) (-6,-2)
Step-by-step explanation:
Answer:
(-6, -2)
Step-by-step explanation:
Which of the following is equal to sin(0)?
Answer:
i think C
Step-by-step explanation:
NOT SURE THO :)
Which graph shows a linear function
Answer:
Graph B
Step-by-step explanation:
Linear functions are straight lines.
Linear functions are straight lines. Graph B has a straight line which means it is a linear function.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Linear functions are straight lines.
In the given option Graph A has the curve graph which can't be a linear function.
Graph B has a straight line which means it is a linear function.
Graph C the lines are not straight so it can't be a linear function.
Similarly, in Graph D, it can't be a linear function.
Learn more about function here;
https://brainly.com/question/20106471
#SPJ2
NEED YOUR HELP ASAP!!!!
Answer:
One blue square equals 4.2 grams
Step-by-step explanation:
If the triangle is equal to three of the blue squares then you would have to divide the triangles value by three to get the squares value.
12.6/3 = 4.2
Answer:
dont braly me do it for him
Step-by-step explanation:
Which point represents the unit rate?
On a coordinate plane, point A is (0, 1), point B is (1, 0), point C is (1, 0.5), and point D is (2, 1).
Answer:
Hey it’s C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
For each of the situations in parts a through d below, state whether a Type I, a Type II, or neither error has been made. Explain briefly. a) A bank wants to know if the enrollment on their website is above 30% based on a small sample of customers. They test H_0 : p = 0.3 vs. H_A: p > 0.3 and reject the null hypothesis. Later they find out that actually 28% of all customers enrolled. Choose the correct answer below.
A. The bank made a Type II error. The actual value is close to 0.3 but they rejected the null hypothesis.
B. The bank made a Type II error. The actual value is not greater than 0.3 but they rejected the null hypothesis.
C. The bank made a Type I error The actual value is not greater than 0.3 but they rejected the null hypothesis.
D. The bank made a Type I error. The actual value is close to 0.3 but they rejected the null hypothesis.
E. The bank did not make an error. The actual value is not equal to 0.3 and they rejected the null hypothesis.
Answer:
I think it is e
Step-by-step explanation:
Hope this is correct and hope this helps