THE ANSWER IS NOT 38 nor is it 37.961

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 ANSWER IS NOT 38 nor is it 37.961

Question 3

\[ n = \left( \frac{\sigma * Z_{\alpha/2}}{E} \right)^2 \]

Solve the following problem in stages:

According to prior research, the amount of time a medical doctor spends with patients has a standard deviation of 3.6 minutes. Further study is needed to estimate the true mean time medical doctors spend with their patients. If a researcher wants to be 96% confident that the estimate is within 1.2 minutes of the population parameter, what is the minimum sample size necessary for such findings? [COMMENTS & HINTS: Round up!]

Next, in order to determine the critical value, \( Z_{\alpha/2} \), using appropriate software or spreadsheet functions, such as =NORM.S.INV, what percentage should be entered to represent the left tail area under the standard normal curve? *Express as a whole percentage with percent symbol.*
Transcribed Image Text:Question 3 \[ n = \left( \frac{\sigma * Z_{\alpha/2}}{E} \right)^2 \] Solve the following problem in stages: According to prior research, the amount of time a medical doctor spends with patients has a standard deviation of 3.6 minutes. Further study is needed to estimate the true mean time medical doctors spend with their patients. If a researcher wants to be 96% confident that the estimate is within 1.2 minutes of the population parameter, what is the minimum sample size necessary for such findings? [COMMENTS & HINTS: Round up!] Next, in order to determine the critical value, \( Z_{\alpha/2} \), using appropriate software or spreadsheet functions, such as =NORM.S.INV, what percentage should be entered to represent the left tail area under the standard normal curve? *Express as a whole percentage with percent symbol.*
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