A math student is interested in the number of credit cards owne

1. A math student is interested in the number of credit cards owned
by college students. She surveyed all of her classmates to collect sample data.

(a) What type of sampling method is being used?

(b) Please explain your answer.

2. A study was conducted to determine whether the mean braking distance of four-cylinder cars is greater than the mean braking distance of six-cylinder cars. A random sample of 20 fourcylinder cars and a random sample of 20 six-cylinder cars were obtained, and the braking distances were measured.

(a) What would be the appropriate hypothesis test for this analysis?
(i) t-test for two independent samples
(ii) t-test for dependent samples
(iii) z-test for population mean
(iv) correlation

(b) Explain the rationale for your selection in (a). Specifically, why would this be the appropriate statistical approach?

3. A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded. The researcher wants to test the claim that all ten programs are equally effective in weight loss.

(a) Which statistical approach should be used?
(i) confidence interval
(ii) t-test
(iii) ANOVA
(iv) Chi square

(b) Explain the rationale for your selection in (a). Specifically, why would this be the appropriate statistical approach?

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