Consider all observations as one sample of X (1st column) and Y (Second column) values. Answer the following questions:

a) Calculate the correlation coefficient r

b) Fit the regression model (prediting Y from X) and report the estimated intercept and slope

c) Test whether the slope equals 0. Report your hypothesis, test statistic, p-value

A question of medical importance is whether jogging leads to reduction in one’s pulse rate. To test this hypothesis, eight non-jogging volunteers have agreed to begin a one-month jogging program. At the end of the month their pulse rates were determined and compared with their earlier values. Subject 12345678 Pulse rate before program 74 86 98 102 78 84 79 70 Pulse rate after program 70 85 90 107 71 80 69 74

(a) State the hypotheses.

(b) Calculate the test statistic, state the degrees of freedom and approximate the p- value.

(c) Would you reject H0 or fail to reject H0 at 5% level of significance? (d) What do you conclude about the effect of jogging for one month on pulse rate?

A question of medical importance is whether jogging leads to reduction in one’s pulse rate. To test this hypothesis, eight non-jogging volunteers have agreed to begin a one-month jogging program. At the end of the month their pulse rates were determined and compared with their earlier values. Subject 12345678 Pulse rate before program 74 86 98 102 78 84 79 70 Pulse rate after program 70 85 90 107 71 80 69 74

(a) State the hypotheses.

(b) Calculate the test statistic, state the degrees of freedom and approximate the p- value.

(c) Would you reject H0 or fail to reject H0 at 5% level of significance? (d) What do you conclude about the effect of jogging for one month on pulse rate?

The data below show sport preference and age of participant from a random sample of members of a sports club. Test if sport preference is independent of age at the 0.02 significant level.

H₀: Sport preference is independent of age
Ha: Sport preference is dependent on age

a. Complete the table: Give all answers as decimals rounded to 4 places.

(b) What is the chi-square test-statistic for this data?

Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 74 students in the highest quartile of the distribution, the mean score was x = 177.30. Assume a population standard deviation of σ = 7.61. These students were all classified as high on their need for closure. Assume that the 74 students represent a random sample of all students who are classified as high on their need for closure. Find a 95% confidence interval for the population mean score μ on the "need for closure scale" for all students with a high need for closure. (Round your answers to two decimal places.)

A study entitled "Antidepressant Medication and Breast Cancer Risk" (Amer. J. of Epi, late 1990's) stated in the methods section of the paper that "Cases were an age-stratified (< 50 and ≥ 50 years of age) random sample of women aged 25-74 years diagnosed with primary breast cancer during 1995 and 1996 (pathology report confirmed) and recorded in the population-based Ontario Cancer Registry. As the 1-year survival for breast cancer is 90%, surrogate respondents were not used. Population controls, aged 25-74 years, were randomly sampled from the property assessment rolls of the Ontario Ministry of Finance; this database includes all home owners and tenants and lists age, sex, and address."

Question: Discuss the authors' approach to the identification of cases with respect to the potential for selection bias.

Refer to Figure 15.1, which lists the prices of various Microsoft options. Use the data in the figure to calculate the payoff and the profit/loss for investments in each of the following July 2017 expiration options on a single share, assuming that the stock price on the expiration date is $72. (Leave no cells blank - be certain to enter "0" wherever required. Loss amounts should be indicated by a minus sign. Round "Profit/Loss" to 2 decimal places.)

Figure 15.1:

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?

What are the null and alternative​ hypotheses?

Determine the test statistic. Round to two decimal places.

Determine the P-value. Round to three decimal places.

State the final conclusion that addresses the original claim.

______ H0. There is ______ evidence to conclude that the original claim that the mean of the population of estimated is 60 seconds _______ correct. It ________ that as a group the students are reasonably good at estimating one minute.