QUESTION 1

State the null hypothesis and alternate hypothesis for the following:

The publisher ofCelebrity Livingclaims that the mean sales of personality magazines featuring celebrities such as Angelina Jolie or Kim Kardashian is greater than 1.5 million per week. A sample of 10 comparable titles shows that the mean weekly sales last week was 1.3 million. The publisher's claim of 1.5 million per week is to be verified.

In the first blank, state the sign, and in the second blank, state the number.

Use the following to enter your sign:

= for equals/= for does not equal to

>for greater than>= for greater than or equal to

SignNumber

H₀: ___________________million

H₁: ___________________million

QUESTION 2

State the null hypothesis and alternate hypothesis for the following:

An online retailer ships product from overseas with an advertised delivery date stating less than 10 days. To test whether or not deliveries are made within the advertised time, a random sample of 36 orders is selected from a normal population. The sample mean delivery time is 12 days and the known population standard deviation is 3 days.

In the first blank, state the sign, and in the second blank, state the number.

Use the following to enter your sign:

=equals/=does not equal to

>greater than>=greater than or equal to

SignNumber

H₀: ___________________days

H₁: ___________________days

QUESTION 3

State the null hypothesis and alternate hypothesis for the following:

A machine on a production line is set to automatically fill each bottle with 500 mLof water. The quality control manager regularly takes random samples of the bottles from the production line to ensure that the machine is filling the bottles correctly. If not, the machine will need adjusting.

In the first blank, state the sign, and in the second blank, state the number.

Use the following to enter your sign:

=equals/=does not equal to

>greater than>=greater than or equal to

SignNumber

H₀: ___________________mL

H₁: ___________________ mL

QUESTION 4

Use the following for thenext4questions:

A recent national survey found that high school students watched an average of 6.8DVDsper month with a population standard deviation of 0.5 hours. The distribution of times follows the normal distribution. A random sample of 36 college students revealed that the mean number ofDVDswatched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewerDVD'sa month than high school students (average of 6.8 DVDsper month)?

H₀: 6.8

H₁: < 6.8

1)What kind of test is this?

a.One-tail (left tail)

b.Two-tail

c.One-tail (right tail)

QUESTION 5

2) What is the critical value?

QUESTION 6

3) Calculate the test statistic to 1 decimal place.

QUESTION 7

4) What is your decision regarding the null hypothesis?

a. Reject Null Hypothesis

b. Do not Reject Null Hypothesis

QUESTION 8

5) What is your conclusion?

a. Sample data indicates that college students watch significantly fewer DVDs than high school students.

b. Sample data indicates that college students watch significantly more DVDs than high school students.

QUESTION 9

Use the following for the next 5 questions:

A new process was created for the production of computer chips.Management wants to know if the mean time of the new process is less than the mean time of the older process.When data was collected the following was found.The mean time for the new process was 1.31 minutes with a standard deviation of 0.24 minutes.The mean time for the older process was 1.24 minutes with a standard deviation of 0.23 minutes.Both were from samples of 50 units each.Test to determine whether the mean time of the new process is greater than the mean process time for the older process at a level of significance of = 0.025.

1) Entere the proper signs to complete the hypotheses.

Use the following to enter your sign:

=equals/=does not equal to

>greater than>=greater than or equal to

H₀:_new_________ old

H₁: _new________ old

QUESTION 10

2)What kind of test is this?

a. One-tail (left tail)

b. One-tail (right tail)

c. Two-tail

QUESTION 11

3) What is the critical value?

QUESTION 12

4) Calculate the test statistic to 2 decimal place.

QUESTION 13

5) What is your decision regarding the null hypothesis?

a. Reject Null Hypothesis

b. Do Not Reject Null Hypothesis

QUESTION 14

6) What is your conclusion?

a. Sample data indicates that the mean time for the new process is significantly greater than the mean time of the older process.

b. Sample data indicates that there is no difference in the mean time for either processes.

c. Sample data indicates that the mean time for the new process is not significantly greater than the mean time of the older process.

QUESTION 15

The following data represent the results of a study of the performance of ten employees on a particular machine on a productions line and their scores on a mechanical aptitude test:

Output (# of units)Aptitude Test Score

410 115

430 125

425 140

440 160

445 165

452 170

460 198

489 200

490 210

480 215

1)If you were to draw a scatterplot, choose the option that would best describe your scatterplot:

a.no trend

b.decreasing & linear trend

c.increasing & linear trend

QUESTION 16

1)Calculate the correlation coefficient. Round your final answer to 4 decimal places.

QUESTION 17

3) Calculate the coefficient of determination. Round your final answer to 4 decimal places.

QUESTION 18

4) Find the regression equation that relates the data. Round your final answers to 4 decimal places.

Y' = ___________ +____________ X

QUESTION 19

5) Is the regression equation in this example reliable?

a. Yes

b. No

QUESTION 20

6)Estimate the test score that would be expected for an employee whose output is 450 units. Round your final answer to the nearest whole.

QUESTION 21

7) Calculate the standard error of the estimate. Round your final answer to 4 decimal places.

QUESTION 22

Determine the 95% confidence interval for the test score if output is 450 units. Round your final answers to 1 decimal place.

Lower Limit ____________

Upper Limit _____________

WHAT YOU SHOULD KNOW:

Hypothesis Testing (one and two populations)

oOne-tailed vs two-tailed

oProcedures for large and small samples

oType 1 and type 2 errors Correlation & regression

Coefficient of correlation & determination calculations & interpretations

oDevelop the linear regression equation

oPredict values using the regression equation

oConfidence intervals for Y'