MATH 216, ATHABASCAU UNIVERSITY,

Assignment 5B. Computer Component

Problem 1. Basketball

The scoring averages (points per game) of 10 professional basketball players for their first and second seasons are displayed in the StatCrunch data file BBall1.txt, available in the StatCrunch Math 216 Group folder. At a 10% level of significance, use StatCrunch to test the coach's claim that the scoring averages have changed from the first season to the second season.

a.Open the StatCrunch file BBall1.txt. Use the four-step P-value approach to test whether the average points scored per game have changed from the first season to the second season, at a 10% level of significance. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 1a under Step 2 of the test. [2 marks]

b.What key assumption was made when you tested the coach's claim in Problem 1a? put answer in the word file Assignment5B under the subheading Problem 1b. [1 mark]

c.At the 5% level of significance, use the four-step P-value approach to test the hypothesis that the sample of differences comes from a population of differences that is normally distributed. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 1c under Step 2 of the test. [1 mark]

Problem 2. Teaching science

Two teaching methods and their effects on science test scores are under review. One group of students is taught in traditional lab sessions. A second group is taught using new interactive simulation software. The test scores of each group are in the StatCrunch data file Science1.txt available in the StatCrunch Math 216 group file. At a 5% level of significance, conduct a hypothesis test to see if the mean test scores under the new interactive simulation method exceed the mean test scores under the traditional lab method. Assume that both samples come from populations with equal variances.

a.Open the StatCrunch file Science1.txt. Use the four-step P-value approach to test whether the mean test scores under the new interactive simulation method exceed the mean test scores under the traditional lab method at a 5% level of significance. Assume equal population variances when conducting the test (i.e., select the pooled variance option). Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 2a under Step 2 of the test.

[2 marks]

b.What assumptions did you make in conducting the hypothesis test in 2a? put answer the answer in the word file Assignment5B under the subheading Problem 2b. [1 mark]

c.Conduct the appropriate hypothesis test, at alpha = 0.05, to determine if the each of the two samples of test scores comes from a normal population. Use the four-step P-value approach. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 2c under Step 2 of the test. [1 marks]

d.Conduct the appropriate hypothesis test, at alpha = 0.05, to determine if each of the two samples of test scores comes from populations with equal variances. Use the four-step P-value approach. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 2d under Step 2 of the test. [1 mark]

e.Referring to Problem 2a, use StatCrunch to construct two separate 95% confidence intervals: one interval based on the sample of test scores from the traditional lab method curriculum, and a second interval based on the sample of test scores from the new interactive simulation method. Copy and paste both confidence intervals from StatCrunch to the word file Assignment5B under the subheading Problem 2e. [1 mark]

f.Do the two confidence intervals created support your hypothesis test conclusion in Problem 2a? put the explanation to the word file Assignment5B under the subheading Problem 2f. [1 mark]

Problem 3. Drivers

In a survey of 400 drivers from eastern Canada, 380 drivers reported that they always wear their seat belts. In a survey of 350 drivers from western Canada, 300 drivers reported that they always wear their seat belts. At the 1% level of significance, can you support the claim that the proportion of eastern Canadian drivers who always wear their seat belts exceeds the proportion of western Canadian drivers who always wear their seat belts? Use the four-step P-value approach. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 3 under Step 2 of the test. [2 marks]

Problem 4. Zoeys: Questionnaire

The manager of Zoeys, a fast food outlet, distributed the survey questionnaire (Figure1) to its regular customers. Twenty-five regular customers responded to this survey, and their responses are stored in the StatCrunch file Zoeys available in the Math 216 group folder on StatCrunch.

Figure 1: Zoey's Questionnaire

For questions 1-4, please select the responses that apply to you.

For questions 5-8, please write the number that applies.

Variable

TextCode

1. Please indicate your gender.

Gender

female

1

male

2

2.Please indicate your level of satisfaction with your last visit to Zoeys.

Satisfy

Code

very satisfied

1

satisfied

2

less than satisfied

3

3.Do you frequently bring children to Zoeys?

Child

Code

yes

1

no

2

4.How often do you use Zoey's discount coupons?

Coupon

Code

frequently

1

occasionally

2

never

3

5.On a typical visit, please estimate the amount that you spend at Zoeys.

Spend

$ _______

6.How many times per month do you typically visit Zoeys?

Visits

_______

7.Please indicate your monthly family income before taxes.

Income

$ _______

8.Please indicate your age.

Age

_______

a.Open the StatCrunch data file Zoeys. At a 5% level of significance, test the hypothesis that the population mean number of visits per month made by customers who frequently bring children to Zoeys exceeds the population mean number of visits per month made by customers who do not frequently bring children to Zoeys. Use the four-step P-value approach. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 4a under Step 2 of the test. Use the pooled variance option when conducting this test. [2 marks]

b.What assumptions did you make in conducting the hypothesis test in 4a? put the answer answer in the word file Assignment5B under the subheading Problem 4b. [1 mark]

c.Conduct the appropriate hypothesis test, at alpha = 0.05, to determine if each of the two subset samples, number of visits made by the customers who frequently bring children and number of visits made by the customers who do not frequently bring children, comes from populations with equal variances. Use the four-step P-value approach. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 4c under Step 2 of the test.

[1 mark]

d.Conduct the appropriate hypothesis test to determine if each of the two subset samples, number of visits made by the customers who frequently bring children and number of visits made by the customers who do not frequently bring children, comes from a normal population. Use the four-step P-value approach. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 4d under Step 2 of the test. [1 mark]

Problem 5. Zoeys: Satisfaction

For the following problem, refer to Zoey's questionnaire (see Problem 4). With the StatCrunch data file Zoey open, use the four-step P-value approach to test whether the population proportion of Zoeys customers who experienced a very satisfied level of satisfaction is higher for those who frequently bring children to Zoeys, compared to those who do not frequently bring children, with a level of significance of 5%. Hint: Select the Column Variable Recode(Satisfy) with Success being VSat. Copy and paste the Hypothesis Test Results window from StatCrunch to the word file Assignment5B under the subheading Problem 5 under Step 2 of the test.

[2 marks]