**Hypothesis Testing for Mean Distance to Primary Care Physicians in Southwest Virginia****Problem Statement:**Consider a population consisting of all adults living in rural southwest Virginia. Our main variable of interest is \( \mu \), representing the mean distance that adults must travel to visit their primary care physician. A conjecture states that the average distance traveled by these residents is 14 miles. Residents are interested in testing whether this mean distance is greater than 14 miles.**Tasks:**1. **State the appropriate null and alternative hypotheses.** - **Null Hypothesis (\(H_0\)):** The mean distance \( \mu \) that adults in southwest Virginia travel to a primary care physician is 14 miles. \[ H_0: \mu = 14 \] - **Alternative Hypothesis (\(H_1\)):** The mean distance \( \mu \) that adults travel is greater than 14 miles. \[ H_1: \mu > 14 \]**Data Collection and Analysis:**A simple random sample of 81 adults from southwest Virginia was taken. The distance each adult must travel to reach their primary care physician was recorded, resulting in a mean travel distance of 16.4 miles with a standard deviation of 9.9 miles.**Hypothesis Testing:**We will test the hypotheses identified using the collected sample data at the \( \alpha = 0.10 \) level of significance. This implies we're willing to accept a 10% risk of concluding that the mean distance is greater than 14 miles when it is not. *Note: The statistical analysis will involve computing the test statistic and comparing it with the critical value for a one-tailed test, or using a p-value to make a decision regarding the hypotheses.*

given data claim : μ > 14 mileswe have to find null and alternative hypothesis. n = 81x¯ = 16.4s…

Answered: Now suppose the population consists of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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