Advanced Statistics Demystified

Solutions to Chapter Exercises

Introduction

1.

Give the values for ? for the following rejection regions: (a) Z < -1.88; (b) Z > 2.45; (c) Z > 2.12.

2.

Give the rejection regions in terms of Z for the following ? values and research hypotheses: (a) ? = 0.075 and H a: ? > ? 0; (b) ? = 0.12 and H a: ? < ? 0; (c) ? = 0.17 and H a: ? ? ? 0.

3.

Find the p-values that are determined by the following computed test statistics and research hypotheses: (a) Z = -1.87 and H a: ? < ? 0; (b) Z = 2.45 and H a: ? > ? 0; (c) Z = -2.56 and H a: ? ? ? 0.

4.

For the following p-values and ? values, give your conclusion: (a) p-value = 0.045 and ? = 0.05; (b) p-value = 0.35 and ? = 0.10; (c) p-value = 0.001 and ? = 0.01.

5.

Fifty adult onset diabetics took part in a study. One of the questions asked was the number of planned hours of exercise per week that the diabetic participated in. The data is shown in Table I-4.

Table I-4: Hours of planned exercise per week.

0

7

5

5

0

3

10

3

0

5

5

3

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