**Title: Understanding Sampling and Probability with Manual Transmission Knowledge****Introduction:**According to an expert in the automotive industry, 68% of Americans are knowledgeable about driving a manual transmission vehicle. This exercise explores statistical sampling and probability by considering a sample of 220 Americans. The results should be calculated to at least four decimal places.**Question A: Calculating the Sample Statistic**- In the given sample of 220 people, 160 individuals report that they know how to drive a manual transmission vehicle.- **Task:** Determine the sample statistic \(\hat{p}\).\[\hat{p} = \frac{\text{Number of people who know how to drive manual}}{\text{Total number of people sampled}} = \frac{160}{220}\]**Question B: Probability of Observing a High Sample Proportion**- Assuming the expert's claim that 68% of Americans can drive a manual transmission vehicle is true, what is the probability that the sample statistic \(\hat{p}\) from part (a) would be at least as high as the calculated value?**Question C: Probability of Observing a Moderate Range of Sample Proportions**- Again, assuming the expert's 68% claim holds, calculate the probability that the sample statistic \(\hat{p}\) from part (a) falls between 66% and 71%.**Conclusion:**This exercise helps in understanding how real-world data is gathered and analyzed to form conclusions about broader populations. Through calculating and interpreting sample statistics and probabilities, we can gain insights into the validity of expert claims.

Answered: According to an expert for the…

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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The sample mean is the point estimator of а. O b. o О с. р С. O d. H
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