Question

For each of the following two-samples t-tests (problems 1-6): (a) Determine if a F test for the ratio of two variances is appropriate to calculate for the context. If it is appropriate, conduct the analysis and report the result. Include what statistical conclusion you should draw from the analysis (i.e., whether you should conduct a pooled-variance t-test or an unequal-variances t-test). (b) Identify the most appropriate t-test to conduct for the situation/data given. Don’t forget to consider if the context requires one/two-tail tests. (c) Provide a statistical and practical interpretation of your findings.

3. How does cellphone service compare between different cities? The data stored in CellService represents the rating of Verizon and AT&T in 22 different cities (Data extracted from “Best Phones and Services,” Consumer Reports, January 2012, p. 28, 37). Is there evidence of a difference in the mean cellphone service rating between Verizon and AT&T? (Use a 0.05 level of significance)

City	Verizon	AT&T
Atlanta	56	74
Austin	61	72
Boston	60	69
Chicago	55	73
Dallas-Fort Worth	65	76
Denver	56	72
Detroit	63	73
Houston	59	77
Kansas City	66	74
Los Angeles	56	73
Miami	61	74
Milwaukee	60	74
Minneapolis-St.Paul	60	71
New York	57	71
Philadelphia	63	71
Phoenix	62	76
San Diego	60	74
San Francisco	53	73
Seattle	59	72
St. Louis	64	73
Tampa	67	73
Washington D. C.	60	71

Answer 1