A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?a) The additional training significantly increased the defect rate.b) The additional training significantly lowered the defect rate.c) The additional training did affect the defect rate.d) The additional training did not significantly lower the defect rate.e) None of these.

Answers

Answer 1

Answer:

d) The additional training did not significantly lower the defect rate

Step-by-step explanation:

Let proportion of defective chips be = x

Null Hypothesis [H0] : Additional training has no impact on defect rate             x = 8% = 0.08

Alternate Hypothesis [H1] : Additional training has impact on defect rate          x < 8% , x < 0.08  

Observed x proportion (mean) : x' = 27 / 450 = 0.06

z statistic = [ x' - x ]  / √ [ { x ( 1-x ) } / n ]

( 0.06 - 0.08 ) /  √ [ 0.08 (0.92) / 450 ]

= -0.02 / √ 0.0001635  

= -0.02  / 0.01278

z = - 1.56

Since calculated value of z, 1.56 < tabulated value of z at assumed 0.01 significance level, 2.33

Null Hypothesis is accepted, 'training didn't have defect rate reduction impact' is concluded


Related Questions

Sayid is buying a frame to go around the perimeter of a painting his daughter made. Each inch of framing costs ​$0.40. What is the total cost of the framing for the​ painting? . What is the first step you need to​ do? What is the answer to the first​ step? Write an equation to show your work. Choose the correct first step below.

Answers

Answer:

The total cost of the framing for the painting is $0.40·P

Step-by-step explanation:

The first step to be done is to measure the length of the perimeter of the painting

Whereby the perimeter of the painting is p inches long, then the total cost of the framing will be found to be as follows

Total cost of framing = Cost per inch of framing × Perimeter of painting

∴ Total cost of framing = $0.40 × p

The total cost of the framing for the painting = $0.40·P.

If our monthly income is $1,450 and your house payment is $1,125, what fraction of your monthly income must go to pay your house payment?

Answers

Answer:

1125/1450 or simplify it, 45/58

Step-by-step explanation:

1125/1450 or simplify it, 45/58

Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information.Elevation Zone Number of Artifacts Number Unidentified7000-7500 ft 114 715000-5500 ft 142 23Let p1 be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p2 be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area.(a) Find a 95% confidence interval for p1 − p2. (Round your answers to three decimal places.)lower limit: upper limit:

Answers

Answer:

Step-by-step explanation:

Help me please.. Also look in comments

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the the shape is going to end up in the third quadrant.the squadron only includes both negative X values and negative y values meaning that both X and y will be negative.

The equation of a function is y = 10 – 9x.Find the value of x when

y = -8,


y = -26

Answers

Answer:

x = 2, x = 4

Step-by-step explanation:

The equation y = 10 - 9x is a linear equation and the value of either y or x can be found by substituting the given values of either y or x.

given that y = -8, and substituting this into equation y = 10 - 9x,

we have, -8 = 10 - 9x

10 + 8 = 9x

9x = 18; dividing both sides by 9

x = 2

given that y = -26, and substituting this into equation y = 10 - 9x,

we have, -26 = 10 - 9x

10 + 26 = 9x

9x = 36; dividing both sides by 9

x = 4

PLS HELP
f(1) = -6
f(2) = -4
f(n) = f(n - 2) + f(n - 1)
f(3) =

Answers

Answer:

f(1) = -6

f(2) = -4

f(n) = f(n - 2) + f(n - 1)

=> f(3) =  f(2) + f(1) = -6 + (-4) = -10

Hope this helps!

:)

Answer:

f(3)=-10

Step-by-step explanation:

Khan

find the value of the x in the isoscelies triangle shown below.

Answers

Answer:

10

Step-by-step explanation:

x = root(6^2 + 8^)

...............

A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write

Answers

Writing the integral in polar coordinates is less taxing:

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\iiint_Rrf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

The region R is captured by the set of points (in polar, of course)

[tex]R=\left\{(r,\theta)\mid1\le r\le3\land\dfrac{5\pi}4\le\theta\le2\pi\right\}[/tex]

so that the integral is

[tex]\displaystyle\int_{5\pi/4}^{2\pi}\int_1^3rf(r\cos\theta,r\sin\theta)\,\mathrm dr\,\mathrm d\theta[/tex]

In rectangular coordinates, we have to split up the region so that

[tex]R=R_1\cup R_2\cup R_3[/tex]

where

[tex]R_1=\left\{(x,y)\mid-\dfrac3{\sqrt2}\le x\le-\dfrac1{\sqrt2}\land-\sqrt{9-x^2}\le y\le x\right\}[/tex]

[tex]R_2=\left\{(x,y)\mid-\dfrac1{\sqrt2}\le x\le1\land-\sqrt{9-x^2}\le y\le -\sqrt{1-x^2}\right\}[/tex]

[tex]R_3=\left\{(x,y)\mid1\le x\le3\land-\sqrt{9-x^2}\le y\le0\right\}[/tex]

and the integral is split into 3 over these regions,

[tex]\displaystyle\iint_Rf(x,y)\,\mathrm dA=\sum_{n=1}^3\iint_{R_n}f(x,y)\,\mathrm dx\,\mathrm dy[/tex]

URGENT


A kite flying at a height of 65 m is attached to a string inclined at 31° to the ground. What is the length of the string? (please show work)

Answers

Sin31=opp/hyp=65 length

L*sin31=65

L=65/sin31

L=126.20

Help due soon plss!!!!

Answers

Answer:

Cube=150cm^2

Triangular Prism=228ft^2

Step-by-step explanation:

Cube

[tex]A=6a^2=6*5^2=150cm^2[/tex]

Triangular prism

Using these formulas

[tex]A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}[/tex]

Solving for A

[tex]A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2[/tex]

Female athletes receive 25

Answers

okay and? what’s next

Determine which of the following relations is a function.

Answers

Answer:

The farthest left box.

Step-by-step explanation:

In order for a relation to be a function, the order of numbers must be constant from the input to the output. The other numbers do not have a consistent value, but the one on the far left is x=+5 and y=-5, and it continues this way throughout the relation.

Hopefully this helped!

Answer: Hi! I am doing the same school program and the answer is A and C! Hope this helps.

What is the rectangular equivalence to the parametric equations?

x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .

Answers

Answer:

[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex] (An ellipse)

Step-by-step explanation:

Let consider the following trigonometric identity:

[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]

Each trigonometric function is cleared respectively in given parametric equations:

[tex]\cos \theta = \frac{x-2}{3}[/tex] and [tex]\sin \theta = \frac{y + 1}{2}[/tex]

The equivalent expression in rectangular form is:

[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex]

Which represents an ellipse.

I need help with math can someone help me I’ll show the question?

Answers

What’s your question

I need help with this problem

Answers

Answer:

Step-by-step explanation:

ill help

Rufus invest 10,000 in a savings account that pays 3.5 simple interest each year. If Rufus makes no withdrawal or deposits to the account how much money will be in the account after 7 years ?

Answers

Answer:

$1272.28

Step-by-step explanation:

Our equation is

[tex]p*(1+x)^{t}[/tex] , with p being the starting amount, x being the interest rate, and t being the time. Plug our variables in to get

[tex]1000*(1+0.035)^{7}[/tex] = around 1272.28

For the given​ data, (a) find the test​ statistic, (b) find the standardized test​ statistic, (c) decide whether the standardized test statistic is in the rejection​ region, and​ (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. ​
Claim: μ1 < μ2​, α = 0.01. Sample​ statistics: x^-1 = 1240, n1 = 40, x^-2 = 1200 and n2 = 80. Population​ statistics: σ1 = 65 and σ2 = 110.
(a) The test statistic for μ1 - μ2 is _________.
(b) The standardized test statistic for μ1 - μ2 is __________. (Round to two decimal places as needed.)
(c) Is the standardized test statistic in the rejection region?
O Yes Ο Nο
(d) Should you reject or fail to reject the null hypothesis?

Answers

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

  The test statistic for μ1 - μ2 is   [tex]\= x_1 - \= x_2 = 40[/tex]

b

  The standardized test statistic for μ1 - μ2 is   [tex]z = 2.5[/tex]

c

  No

d

    Fail to reject null hypothesis  [tex]H_O : \mu_1 \ge \mu_2 ; H_a : \mu_1 < \mu_2[/tex] At the 1% significance level , there is insufficient evidence to support the claim

Step-by-step explanation:

From the question we are told that

The given data is  

         [tex]\= x_1 = 1240[/tex]

          [tex]\= x_2 = 1200[/tex]

           [tex]n_1 = 40[/tex]

           [tex]\alpha = 0.01.[/tex]

          [tex]n_2 = 80.[/tex]

           [tex]\sigma 1 = 65 \ and\ \sigma2 = 110.[/tex]

Now the test statistic is mathematically evaluated as

           [tex]\= x_1 - \= x_2 = 1240 -1200[/tex]

          [tex]\= x_1 - \= x_2 = 40[/tex]

 The standardized test​ statistic is mathematically represented as

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

substituting values

     [tex]z = \frac{\= 1240 - \= 1200}{\sqrt{\frac{65^2}{40} } + \frac{110^2}{80} }[/tex]

     [tex]z = 2.5[/tex]

Now  the standardized test​ statistic is not in the rejection region because the z value of  [tex]\alpha[/tex]  is  2.33 and  the standardized test​ statistic  is greater than that hence it is not in the rejection region

This implies that the test statisties failed to reject the null hypothesis at significance level of 0.01 , there insufficient evidence to support the claim

To evaluate the effectiveness of a treatment, researchers often measure individuals before and after treatment, and record the amount of difference between the two scores. If the differences average around zero, it is an indication that the treatment has no effect. However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect. For example, Kerr, Walsh, and Baxter (2003) evaluated the effectiveness of acupuncture treatment by measuring pain for a group of participants before and after a 6-week treatment program. Hypothetical data, similar to the results of the study, are as follows. Note that each score measures the difference in pain level after treatment compared to the pain level before treatment. A positive score indicates more pain before treatment than after.
+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

Required:
a. Compute the mean for the sample of n=20 scores.
b. Does it appear the treatment has an effect? How do you know?

Answers

Answer:

Step-by-step explanation:

researchers often measure individuals before and after treatment, and record the amount of difference between the two scores.

If the differences average around zero, it is an indication that the treatment has no effect.

However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect.

A positive score indicates more pain before treatment than after.

a. The mean of the sample for n = 20 scores is

+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

4 + 5 + 2 + 0 + 7 + 4 + 3 + 3 + 2 + (-2) + 1 + 6 + 0 + 4 + (-1) + 3 + 5 + 4 + 2

    = 55-3 / 20

   = 52/20 = +2.6

b. An average of +2.6 was estimated thus, it appears the treatment has an effect as a positive sign indicates more pain before treatment than after.

Can someone help me again pleaseeee :')

Answers

The answer is I because S is at -2 and T is at 4.

What is the equation of a line that is perpendicular to x = 6 and passes through the point (2, 3)?

Answers

Answer:

Step-by-step explanation:

The equation of any line perpendicular to a line with an equation of x= (vertical line) will have the form y= (horizontal line). In this case, since this line passes through the y value of 3, that means that the equation is y=3.

[25x^{2} + 16y^{2}

plz factor

Answers

Answer:

[tex](5x)^2+(4y)^2[/tex]

Step-by-step explanation:

[tex]25x^2+16y^2=\\(5x)^2+(4y)^2[/tex]

Hope this helps!

In a large population, 69% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that At least one of them has been vaccinated?

Answers

Answer:

0.991

Step-by-step explanation:

Let Q be probability none of the 4 are vaccinated.

Let P be probability that at least 1 is vaccinated.

P = 1 - Q

Now if 69% are vaccinated, then 31% are not vaccinated.

Thus any given person has a probability of 0.31 of not being vaccinated.

Q = (0.31)^4 = 0.00924

P = 1 - 0.00924 = 0.991

can someone help me please

Answers

Answer:

  y = (-1/80)x^2 +2x

Step-by-step explanation:

The graph of the equation for the arch will go through the points ...

  (0, 0), (160, 0), (80, 80)

We can start by making use of the zeros to write the function ...

  y = a(x -0)(x -160)

To make the graph go through the point (80, 80), we must have ...

  80 = a(80 -0)(80 -160) = (-80^2)a

  -1/80 = a . . . . . . divide by the coefficient of "a"

So, our equation is ...

  y = (-1/80)x(x -160)

  y = (-1/80)x^2 +2x

PLEASE HELP?

In a bad news message, the reasons for the decision

A: should be long and roundabout to cushion the negative aspects.

B: are so obvious that you don't need to mention them.

C: come directly after the buffer and follow naturally from it.

D: should be glossed over quickly.

Answers

C. It make more sense ..
read between the lines

Convert the equations into slope intercept form,

then identify the slope and y-intercept.


1. -x + y = 3

m=

b=

2. -4x + 2y = 6

m=

b=

3. 2x + =3

m=

b=

Answers

Answer:

1. -x + y = 3

m=  1

b=  3

2. -4x + 2y = 6

m=  2

b= 3

Step-by-step explanation:

Slope intercept is form to write equation for straight line.

It is represented as  y = mx+ b

where m is the slope of line

B is the y intercept (pint on y axis where the line crosses y axis)

________________________________________________

Given

1. -x + y = 3  

we need to convert this line in form of y = mx+ b

-x + y = 3

to do this we have to move - x from LHS to RHS

it can be done by adding both side +x which will eleminate -x from LHS

-x + y + x = 3 + X

=>y = 3 + x

=> y = x +c

Thus comparing it with slope form line: y = mx+ b

m =1

b = 3

__________________________________________________

Given

1. -4x + 2y = 6  

we need to convert this line in form of y = mx+ b

-4x + 2y = 6

to do this we have to move + 4x from LHS to RHS

it can be done by adding both side +4x which will eleminate -4x from LHS

-4x + 2y + 4x= 6 +4x

=>2y =6 +4x

Now we have to remove 2 from 2y =6 +4x

To do this we divide both side by 2 . now we have equation

=>  2y/2 =(6 +4x)/ 2 = 6/2 + 4x/2

=> y = 3 + 2x

Thus comparing it with slope form line:  y = mx+ b

m = 2

b = 3

__________________________________

Third part has 2x + =3 has y missing

it can be solved similarly.

say in place of y we have my where m is coefficient of y

2x + my =3

to do this we have to move + 2x from LHS to RHS

it can be done by subtracting -2x from both side  which will eleminate 2x from LHS

2x + my -2x =3 -2x

=>my =3 -2x

Now we have to remove m from my =3 -2x

To do this we divide both side by m . now we have equation

=>  my/m =(3 -2x)/ m = 3/m -2x/m

=> y = 3/m - 2x/m

Thus comparing it with slope form line:  y = mx+ b

m = -2/m

b = 3/m

What is th he sum of the first seven terms of the series -3+6-12+24-...?

Answers

Answer:

-129

Step-by-step explanation:

-3+6-12+24-48+96-192=

6+24+96-3-12-48-192=

126-255=

-129

Hope this helps!

Mrs.Mark has 3/4 pond of cheese to use making sandwiches. She uses about 1/34 pound of cheese on each sandwich. How many sandwiches can she make with the cheese she has?

Answers

Answer:

Step-by-step explanation:  Divide

3

4

which is the amount of cheese she has,

by

1

32

which is the amount of cheese required for each sandwich.

3

4

1

32

This is a complex fraction.

Simplify the fraction by multiplying both the numerator fraction and the denominator faction by the inverse of the bottom fraction

1

32

3

4

×

32

1

1

32

×

32

1

The bottom fraction times its inverse is equal to

1

leaving

3

4

×

32

1

4

divides out of

4

and

32

leaving

3

×

8

=

24

sandwiches

Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.





Whoever that answers I will mark you as brilliant

Answers

Answer:

85.6cm

Step-by-step explanation:

Area of a triangle =1/2*b*h

Where base=19.5cm while the height is 8 4/5 = 8.8

Area = 1/2 * 19.5cm * 8.8cm

Area = 171.6cm/2

Area=85.6cm

How do you find the median of a data set when you have an even number of values?

Answers

Answer:

If there is an even number of numbers, the median is the average of the two numbers in the middle.

Step-by-step explanation:

To find the median of any set of numbers, put them in order from smallest to greatest. If a number occurs more than once, list it more than once. The number in the middle is the median. If there is an even number of numbers, the median is the average of the two numbers in the middle. For your first example, we line them up: 3, 6, 6.

Answer:

Set them from least to greatest and remove one from each side until you find the middle number! If you're left with 2, add them both and divide by 2.

Step-by-step explanation:

The base of a prism is never a

Answers

Answer:

circle,oval overall its never round or with curves

Step-by-step explanation:

The base of a prism is never a ''Circle''. Because by definition Circular prism is not a prism.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the never possible shape of base of prism.

Now, We know that;

A prism is a solid that has two faces that are parallel and congruent.

Hence, If you take any cross section of a prism parallel to those bases by making a cut through it parallel to the bases, the cross section will look just like the bases.

Hence, Circular prism is not a prism according to definition.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

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How would you characterize Mr. Easton and Miss Fairchild, respectively? Which is greater: 5 yards or 150 inches? Can someone pls help me Which of the following is not necessary for a good summary?important events in the story in chronological orderminor details about the charactersa closing sentencean introduction Explain why James Madison is called the Father of the Constitution. If f(x) = x4 x3 + x2 and g(x) = x2, where x 0, what is (fg)(x)? In humans, XO individuals are females with Turner syndrome and XXY individuals are males with Klinefelter syndrome. Red green color blindness is caused by an X-linked recessive allele. Suppose a colorblind man and a normal woman with no family history of color blindness married and had a daughter who was colorblind and had Turner syndrome. 1. Which event could have given rise to this offspring?A) Nondisjunction at meiosis II in the mother. B) Nondisjunction at meiosis I in the father. C) Nondisjunction at meiosis l in the mother. D) Nondisjunction at meiosis II in the father. E) Nondisjunction at either meiosis I or meiosis II in the mother. Jody flips a fair coin three times and each time it lands on heads. Jody believes he can calculate the probability of this occurring by adding the probability of getting a head on each individual flip. Explain why this is incorrect. 18 = 3bsolve for 3b (30 points) Name the following CompoundsAlkane C-C Help!!!Match each term with the correct definition,semiconductora material that has zero resistance ata very low temperaturesuperconductora material through which little electriccurrent movesconductora material through which electriccurrent flows easilyinsulatora material that conducts electricitybut not as well as a conductor Which of the following accurately describes a situation in which substitutionoccurs?O A. People give up eating pasta and bread because they want to loseweightO B. A restaurant adds decaffeinated coffee to its menu because morecustomers have asked for this drink.C. A restaurant starts using margarine instead of butter becausebutter becomes more expensive.O D. Consumers boycott a restaurant because the waiters aren't paidminimum wage. If 20x = 54 and 2.xy=100, what is y? Do you think professional sports should still be playing during the pandemic? will mark as brainliest pls answer quickSelect each quadrilateral that has four congruent sides.A) trapezoidB) isosceles trapezoidC) parallelogramD) rhombusE) rectangleF) square How can you prove these triangles are congruent PLEASE HELP ??????? What major issue did kings and popes disagree on? Whats the frontal lobes in the brain? Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?