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Multiple choice: Select the best answer for Exercises 95 to 102. Vigorous exercise helps

Chapter 9, Problem 101

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QUESTION:

Multiple choice: Select the best answer for Exercises 95 to 102. Vigorous exercise helps people live several years longer (on average). Whether mild activities like slow walking extend life is not clear. Suppose that the added life expectancy from regular slow walking is just 2 months. A statistical test is more likely to find a significant increase in mean life expectancy if (a) it is based on a very large random sample and a 5% significance level is used. (b) it is based on a very large random sample and a 1% significance level is used. (c) it is based on a very small random sample and a 5% significance level is used. (d) it is based on a very small random sample and a 1% significance level is used. (e) the size of the sample doesnt have any effect on the significance of the test.

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QUESTION:

Multiple choice: Select the best answer for Exercises 95 to 102. Vigorous exercise helps people live several years longer (on average). Whether mild activities like slow walking extend life is not clear. Suppose that the added life expectancy from regular slow walking is just 2 months. A statistical test is more likely to find a significant increase in mean life expectancy if (a) it is based on a very large random sample and a 5% significance level is used. (b) it is based on a very large random sample and a 1% significance level is used. (c) it is based on a very small random sample and a 5% significance level is used. (d) it is based on a very small random sample and a 1% significance level is used. (e) the size of the sample doesnt have any effect on the significance of the test.

ANSWER:

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The mean life expectancy between those who do vigorous exercise and those who do regular slow walking.The larger the sample size, the more information we have about the differences in the life expectancy and thus the more reliable that our since there is actually a difference in the mean life expectancy, this then also implies that we will be more likely to reject the null hypothesis and thus we are more likely to obtain a significant increase.

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