For questions 5 - 9 below, use the traditional method of hypothesis testing to test the given claim about the means of two populations.

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For questions 5 - 9 below, 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 an effect on the math scores.

5. State the null and alternative hypotheses.

Solution:

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6.  Find d, d bar, and sd,

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7.  Find the value of the test statistic, t.

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8.  Find the critical value(s) and state the decision about the null hypothesis.

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9.  State the conclusion in non-technical terms.

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    • 7 years ago