Compute the sample mean and variance of the differences

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Two-sample t test versus matched pairs t test. 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

50.60

52.63

51.02

52.55

47.99

50.94

54.20

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.

(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.

Reference no: EM131430065

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