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# Hypothesis Testing Problems,

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Example 1: Suppose data on retail prices of a cholesterol reducing drug were collected from randomly selected Pharmacies of two states (16 pharmacies from State1 and 13 from State 2) with the following values:
State 1 State2
125.05 145.32
137.56 131.19
142.5 151.65
145.95 141.55
117.49 125.99
142.75 126.29
121.99 139.19
117.49 156
141.64 137.56
128.69 154.1
130.29 126.41
142.39 114
121.99 144.99
141.3
153.43
133.39
Given the two samples can we conclude that the average retail prices do not significantly differ by State? Give conclusion for two cases (a) population variances are equal; and (b) population variances are unequal.
Solve this problem using calculator, with formulas and the t-table. Work with t-values only.

Example 2: A study was conducted to determine if there was a difference in humor content in British and American trade magazine advertisements. An independent random sample of 203 British trade magazines contained 54 humorous ads while the other independent sample of 270 American trade magazine advertisements contained 56 humors. Does this data set provide evidence that there are more frequent humorous content in ads of British compared to American trade magazines?
Work it out with calculator, Z table and the formulas.