statistics 170

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Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations.

Five students took a math test before and after tutoring. Their scores were as follows.

Student

A

B

C

D

E

Before

71

66

67

77

75

After

75

75

65

80

87

Using a 0.01 level of significance, test the claim that the tutoring has a positive effect on the math scores.

1. State the null and alternative hypotheses.

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