Mathematics, 16.03.2020 21:20 ThePotato381
Consider the following data set. The data were actually collected in pairs, and each row represents a pair.
Group 1 Group 2
48.86 48.88
50.6 52.63
51.02 52.55
47.99 50.94
54.2 53.02
50.66 50.66
45.91 47.78
48.79 48.44
47.76 48.92
51.13 51.63
a. Suppose that we ignore the fact that the data were collected in pairs and mistakenly treat this as a two-sample problem. Compute the sample mean and variance for each group. Then compute the two-sample t statistic, degrees of freedom, and P-value for the two-sided alternative.
b. Now analyze the data in the proper way. Compute the sample mean and variance of the differences. Then compute the t statistic, degrees of freedom, and P-value.
c. Describe the differences in the two test results.
Answers: 2
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