1. Retention Test Scores A sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a -century novel or by watching it in DVD form. Each student was assigned one novel to read and a different one to watch, and then they were given a -point written quiz on each novel. The test results are shown below. At, can it be concluded that the book scores are higher than the DVD scores? Assume the variables are normally distributed.

Book: 90, 76, 80, 75, 90, 92, 90

DVD: 75, 78, 70, 80, 80, 83, 85

(a) State the hypotheses and identify the claim with the correct hypothesis.

Ho:

H1:

This hypothesis test is a

Part 2 of 4

(b) Find the -value. Round the answer to at least four decimal places.

P-value

(c) Make the decision.

Part 4 of 4

(d) Summarize the results.

There ----- enough evidence to support the claim that the book scores are higher than the DVD scores.

2. Professional Golfers' EarningsTwo random samples of earnings of professional golfers were selected. One sample was taken from the Professional Golfers Association, and the other was taken from the Ladies Professional Golfers Association. At=0.01,is there a difference in the means? The data are in thousands of dollars. Use the critical value method with tables.

PGA
446	1344	9188	10,508	4910
8553	7573	375
LPGA
48	76	122	466	863
100	1876	2029	4364	2921

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Use1for the mean earnings of PGA golfers. Assume the variables are normally distributed and the variances are unequal.

Part 1 of 5

State the hypotheses and identify the claim with the correct hypothesis.

H0:=1=2

H1:

This hypothesis test is atwo-tailedtest.

Part 2 of 5

Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

Part 3 of 5

Compute the test value. Always roundtscore values to at least three decimal places.

t =

(4) Make the decision.

(5) Summarize the results.

3. Hockey's Highest ScorersThe number of points held by a sample of the NHL's highest scorers for both the Eastern Conference and the Western Conference is shown below. At=0.05,can it be concluded that there is a difference in means based on these data? Assume the variables are normally distributed and the variances are unequal.

Eastern Conference	Western Conference
70	62	61	88	77	66	72	55
89	59	62	98	61	64	66	68
70	71	82	83	76	59	58	37
60	75	78		57

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Use1for the mean score for the Eastern Conference.

Part 1 of 5

State the hypotheses and identify the claim with the correct hypothesis.

H0:

H1:

Part 2 of 5

Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.

Part 3 of 5

Compute the test value. Round the sample means and standard deviations to two decimal places and roundt =score value to at least three decimal places.

4. Mendel's TheoryAccording to Mendel's theory, if tall and colorful plants are crossed with short and colorless plants, the corresponding probabilities are916,316,316,and116for tall and colorful, tall and colorless, short and colorful, and short and colorless,respectively.If7plants are selected, find the probability that3will be tall and colorful,2will be tall and colorless,2will be short and colorful, and0will be short andcolorless.Enter your answer as a simplified fraction or a decimal rounded to at least four decimalplaces.

The probability is -----

5.High School DropoutsApproximately12.3%of American high school students drop out of school before graduation. Assume the variable is binomial. Choose14students entering high school at random. Find these probabilities. Round intermediate calculations and final answers to three decimal places.

Part 1 of 3

(a) All14 stay in school and graduate

P(all14stay in school and graduate)=

Part 2 of 3

(b) At least12graduate

P(at least12graduate)=

Part 3 of 3

(c) No more than three drop out

P(no more than three drop out)=