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A hospital recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $87 thousand dollars. A random sample of 28 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 5% level of significance. Salary (in thousands of dollars) 97.01 83.15 96.16 93.93 86.77 98.72 87.54 89.17 99.92 86.42 95.83 88.07 91.78 89.3 99.89 83.14 80.09 98.29 94.32 88.88 92.09 90.02 88.96 98.22 97.81 93.05 107.39 91.09

A hospital recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $87 thousand dollars. A random sample of 28 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 5% level of significance. Salary (in thousands of dollars) 97.01 83.15 96.16 93.93 86.77 98.72 87.54 89.17 99.92 86.42 95.83 88.07 91.78 89.3 99.89 83.14 80.09 98.29 94.32 88.88 92.09 90.02 88.96 98.22 97.81 93.05 107.39 91.09

MATLAB: An Introduction with Applications
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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A hospital recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $87 thousand dollars. A random sample of 28 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 5% level of significance. Salary (in thousands of dollars) 97.01 83.15 96.16 93.93 86.77 86.42 98.72 87.54 89.17 99.92 95.83 88.07 91.78 89.3 99.89 83.14 80.09 98.29 94.32 88.88 92.09 90.02 88.96 98.22 97.81 93.05 107.39 91.09
Transcribed Image Text:A hospital recruiting company for doctors is conducting a study to determine whether the average doctor's salary (in thousands of dollars) is significantly more than $87 thousand dollars. A random sample of 28 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 5% level of significance. Salary (in thousands of dollars) 97.01 83.15 96.16 93.93 86.77 86.42 98.72 87.54 89.17 99.92 95.83 88.07 91.78 89.3 99.89 83.14 80.09 98.29 94.32 88.88 92.09 90.02 88.96 98.22 97.81 93.05 107.39 91.09
Note: Without being given that the population is normally distributed, and given a sample less than 30, we are required to verify that there are no outliers by plotting a box plot and a normal probability plot. Test the claim: a. What are the null and alternative hypotheses? Ho: μ H₁: P = b. Based on the hypotheses, calculate the following. Round to four decimal places. Test Statistic p-value = c. Make a decision. = V Reject the null hypothesis > V d. Make a conclusion regarding the claim. There is enough evidence to support the claim o that the population mean doctor's salary (in thousands of dollars) is significantly more than $87 thousand dollars.
Transcribed Image Text:Note: Without being given that the population is normally distributed, and given a sample less than 30, we are required to verify that there are no outliers by plotting a box plot and a normal probability plot. Test the claim: a. What are the null and alternative hypotheses? Ho: μ H₁: P = b. Based on the hypotheses, calculate the following. Round to four decimal places. Test Statistic p-value = c. Make a decision. = V Reject the null hypothesis > V d. Make a conclusion regarding the claim. There is enough evidence to support the claim o that the population mean doctor's salary (in thousands of dollars) is significantly more than $87 thousand dollars.
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