### Understanding Sample Size Requirements for Estimating the Mean Number of Books ReadA survey was conducted to determine the number of books read by people in the previous year. The initial survey results indicate a standard deviation $ s = 14.6 $ books. Below, we address a series of questions about sample size estimation to achieve certain confidence levels and accuracies.#### (a) Estimating with 95% Confidence Within Four BooksTo determine the number of subjects needed to estimate the mean number of books read within a margin of error of four books and with 95% confidence, a specific calculation is required. The sample size will provide a reliable estimate within the desired accuracy.**95% Confidence Level Requirement:**\[ \text{Required Sample Size: } \_\_\_ \text{ subjects} \]*(Round up to the nearest subject.)*#### (b) Estimating with 95% Confidence Within Two BooksThis scenario inquires about estimating the mean with a tighter accuracy of two books but maintaining the same 95% confidence level. Naturally, achieving this level of precision requires a larger sample size.**95% Confidence Level Requirement:**\[ \text{Required Sample Size: } \_\_\_ \text{ subjects} \]*(Round up to the nearest subject.)*#### (c) Impact of Doubling Required Accuracy on Sample SizeExploring how changes in the desired accuracy affect sample size is crucial. Specifically, if the accuracy requirement is doubled, what effect does this have on the sample size needed?- **A.** Doubling the required accuracy nearly halves the sample size.- **B.** Doubling the required accuracy nearly doubles the sample size.- **C.** Doubling the required accuracy nearly quadruples the sample size.- **D.** Doubling the required accuracy nearly quarters the sample size.#### (d) Estimating with 99% Confidence Within Four BooksFinally, determining how many subjects are needed when increasing the confidence level to 99% while maintaining an accuracy of four books is key for higher certainty in estimates.**99% Confidence Level Requirement:**\[ \text{Required Sample Size: } \_\_\_ \text{ subjects} \]*(Round up to the nearest subject.)*These exercises illustrate the relationship and balance between confidence levels, accuracy, and sample sizes in statistical estimations.

Given:- Initial sample survey s = 14.6 Margin error E = 4…

Answered: (a) How many subjects are needed to…

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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You may need to use the appropriate appendix table or technology to answer this question. A survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 228 of 400 executives answered Yes, while in a previous year survey, 176 of 400 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time. (Use current year previous year. Round your answer to four decimal places.) to What is your interpretation of the interval estimate? The 95% confidence interval ---Select--- ✓zero. This suggests that the proportion of executives who are predicting an increase in full- time jobs for the current year is ---Select--- ✓ than the proportion of executives who were predicting an increase in full-time jobs for the…
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Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows, current year previous year occupied rooms 1470 1458 total rooms 1750 1800 a)What is the 95% confidence interval estimate of the change in occupancy for the one-year period? b)Do you think officials will be pleased with the results? c) Using a 0.05 level of significance, test the hypothesis that there has been an increase in the proportion of rooms occupied over the one-year period.
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A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99% confidence assuming s=17.6based on earlier studies? Suppose the doctor would be content with 90% confidence. How does the decrease in confidence affect the sample size required? A 99% confidence level requires______subjects
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Sample # 1 and has been provided in the second screenshot (hand written)
A survey is taken of 250 students, and a P of 0.45 is found. The same survey is repeated with 1,000 students, and the same value is found. Compare the two 95% confidence intervals. What is the relationship? Is the margin of error for the second one four times smaller? How much smaller is it?

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