Suppose for questions 7 and 8 that the population is all adults living in Northern Virginia, and of interest is an distance that all adults living in Northern Virginia must travel to visit their primary care physician. It is etured that the mean distance that all adults living in Northern Virginia must travel to visit their primary care ysician is 4 miles, and since Northern Virginia is mostly an urbanized area they want to test this versus the alternative at the mean number of miles that all adults in Northern Virginia must travel to visit their primary care physician is less an 4 miles. State the appropriate null and alternative hypotheses that should be tested. Consider the information and hypotheses specified in question 7. It is known that some adults living in Virginia have primary care physicians in other parts of the state, and hence the distribution offtravel distances is skewed heavily to the right. Also assume that the standard deviation of the distances that all adults in Northern Virginia must travel to visit their primary care physician is 3.7 miles. To test the hypotheses in question 7, data for 16 adults working at the Pentagon was recorded. The mean distance the adults in the sample traveled to visit their primary care phurician was 178 miles. If appropriate, use this information to test the hypotheses stated in question 7 at the a= .01

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**Question 7: Hypothesis Formulation**

Suppose for questions 7 and 8 that the population is all adults living in Northern Virginia, and of interest is the mean distance that all adults living in Northern Virginia must travel to visit their primary care physician. It is conjectured that the mean distance that all adults living in Northern Virginia must travel to visit their primary care physician is 4 miles. Since Northern Virginia is mostly an urbanized area, they want to test this against the alternative that the mean number of miles that all adults in Northern Virginia must travel to visit their primary care physician is less than 4 miles. 

**Task**: State the appropriate null and alternative hypotheses that should be tested.

**Question 8: Hypothesis Testing with Sample Data**

Consider the information and hypotheses specified in question 7. It is known that some adults living in Northern Virginia have primary care physicians in other parts of the state, and hence the distribution of travel distances is skewed heavily to the right. Also, assume that the standard deviation of the distances that all adults in Northern Virginia must travel to visit their primary care physician is 3.7 miles. To test the hypotheses in question 7, data for 16 adults working at the Pentagon was recorded. The mean distance the adults in the sample traveled to visit their primary care physician was 17.8 miles. If appropriate, use this information to test the hypotheses stated in question 7 at the α = .01 level of significance.
Transcribed Image Text:**Question 7: Hypothesis Formulation** Suppose for questions 7 and 8 that the population is all adults living in Northern Virginia, and of interest is the mean distance that all adults living in Northern Virginia must travel to visit their primary care physician. It is conjectured that the mean distance that all adults living in Northern Virginia must travel to visit their primary care physician is 4 miles. Since Northern Virginia is mostly an urbanized area, they want to test this against the alternative that the mean number of miles that all adults in Northern Virginia must travel to visit their primary care physician is less than 4 miles. **Task**: State the appropriate null and alternative hypotheses that should be tested. **Question 8: Hypothesis Testing with Sample Data** Consider the information and hypotheses specified in question 7. It is known that some adults living in Northern Virginia have primary care physicians in other parts of the state, and hence the distribution of travel distances is skewed heavily to the right. Also, assume that the standard deviation of the distances that all adults in Northern Virginia must travel to visit their primary care physician is 3.7 miles. To test the hypotheses in question 7, data for 16 adults working at the Pentagon was recorded. The mean distance the adults in the sample traveled to visit their primary care physician was 17.8 miles. If appropriate, use this information to test the hypotheses stated in question 7 at the α = .01 level of significance.
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