# Hypothesis Testing: Paired T Test & One Sample T Test

See attached file for proper format of the chart.

Thirteen randomly selected volunteer A,B,...,M are administered a pill designed to lower systolic blood pressure with the following results.

Volunteer A B C D E F G H I J K L M

Before 115 135 140 130 135 150 122 135 138 190 180 99 110

After 120 128 142 112 111 150 110 135 126 180 160 103 108

Is there evidence to suggest that the pill is not effective?

If a significance level of α=.15 is given, find the critical region of your test.

A certain university's brochure claims that the average amount of money needed for boarding and lodging in the town for a single student is $75 per week. A random sample of nine single students from this university showed the following weekly expenditures:

75, 92, 80, 84, 73, 60, 84, 91, 78

Is there evidence to suggest that the university's estimate is not correct? Assuming that the weekly expenditures are normally distributed, also apply the t-test to analyze the same data.

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#### Solution Summary

The solution provides step-by-step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.