Most adults have a primary care physician who serves as their regular doctor and who coordinates specialty appointments whe they become necessary. People who live in rural settings often have to travel longer distances to visit their primary care physician, while people who live in urban settings often travel shorter distances to visit their primary care physician. f interest in this problem is to estimate u = the mean distance that all adults in the Commonwealth of Virginia to visit their primary care physician. For this problem only, assume that the standard deviation of the ces that all adults in the Commonwealth of Virginia must travel to visit their primary care physician is 7.2 miles. What is the minimum number of adults from the Commonwealth of Virginia that would need to be selected for a sample to allow the calculation of a 90% confidence interval with margin of error no greater than 0.8 miles? Please circle your final answer. A simple random sample of 250 adults from the Commonwealth of Virginia was selected and the distance travel to visit their primary care physician recorded. The mean distance for this sample of 250 adults was 14.6 miles with a standard deviation of 6.9 miles, and the distribution is skewed to the right. If appropriate, use this information to calculate and interpret a 90% confidence interval for the mean distance that all adults in the Commonwealth of Virginia must travel to visit their primary care physician.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Text on Educational Website:**

**Healthcare Access in Virginia: Understanding Travel Distances to Primary Care Physicians**

Most adults have a primary care physician who serves as their regular doctor and coordinates specialty appointments when they become necessary. People who live in rural settings often have to travel longer distances to visit their primary care physician, while those in urban settings often travel shorter distances.

**Research Focus:**
The problem of interest is to estimate the mean distance that all adults in the Commonwealth of Virginia must travel to visit their primary care physician. For this problem, assume that the standard deviation of the distances is 7.2 miles. 

**Objective:**
To determine the minimum number of adults from the Commonwealth of Virginia that would need to be sampled to calculate a 90% confidence interval with a margin of error no greater than 0.8 miles.

**Sample Data:**

A simple random sample of 250 adults from the Commonwealth of Virginia was selected, and the distance they travel to visit their primary care physician was recorded. The mean distance for this sample was 14.6 miles with a standard deviation of 6.9 miles. The distribution is skewed to the right.

**Task:**
Use this information to calculate and interpret a 90% confidence interval for the mean distance that all adults in the Commonwealth of Virginia must travel to visit their primary care physician. 

**Conclusion:**
Please circle your final answer.
Transcribed Image Text:**Text on Educational Website:** **Healthcare Access in Virginia: Understanding Travel Distances to Primary Care Physicians** Most adults have a primary care physician who serves as their regular doctor and coordinates specialty appointments when they become necessary. People who live in rural settings often have to travel longer distances to visit their primary care physician, while those in urban settings often travel shorter distances. **Research Focus:** The problem of interest is to estimate the mean distance that all adults in the Commonwealth of Virginia must travel to visit their primary care physician. For this problem, assume that the standard deviation of the distances is 7.2 miles. **Objective:** To determine the minimum number of adults from the Commonwealth of Virginia that would need to be sampled to calculate a 90% confidence interval with a margin of error no greater than 0.8 miles. **Sample Data:** A simple random sample of 250 adults from the Commonwealth of Virginia was selected, and the distance they travel to visit their primary care physician was recorded. The mean distance for this sample was 14.6 miles with a standard deviation of 6.9 miles. The distribution is skewed to the right. **Task:** Use this information to calculate and interpret a 90% confidence interval for the mean distance that all adults in the Commonwealth of Virginia must travel to visit their primary care physician. **Conclusion:** Please circle your final answer.
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