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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 $86 thousand dollars. A random sample of 26 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 1% level of significance. Salary (in thousands of dollars) 96.87 82.57 86.49 93.06 91.93 94.94 95.87 92.26 91.19 97.09 86.81 89.87 91.2 92.77 97.61 88.12 81.65 85.94 90.2 96.25 85.12 96.05 82.72 90.87 81.8 94.91 Preliminary: a. Is it safe to assume that n ≤ 5% of all doctors earning a salary? Yes No b. Is n > 30? No Yes c. Since n < 30, then determine whether the box plot of salaries contains any outliers. 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 Salary There are outliers from the box plot. There aren't outliers from the box plot. 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 Select an answer ✰ ? ◇ H₁ Select an answer ? ◇ b. Based on the hypotheses, calculate the following. Round to four decimal places. Test Statistic = p-value = c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer ✰ that the population mean doctor's salary (in thousands of dollars) is significantly more than $86 thousand dollars.

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 $86 thousand dollars. A random sample of 26 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 1% level of significance. Salary (in thousands of dollars) 96.87 82.57 86.49 93.06 91.93 94.94 95.87 92.26 91.19 97.09 86.81 89.87 91.2 92.77 97.61 88.12 81.65 85.94 90.2 96.25 85.12 96.05 82.72 90.87 81.8 94.91 Preliminary: a. Is it safe to assume that n ≤ 5% of all doctors earning a salary? Yes No b. Is n > 30? No Yes c. Since n < 30, then determine whether the box plot of salaries contains any outliers. 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 Salary There are outliers from the box plot. There aren't outliers from the box plot. 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 Select an answer ✰ ? ◇ H₁ Select an answer ? ◇ b. Based on the hypotheses, calculate the following. Round to four decimal places. Test Statistic = p-value = c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer ✰ that the population mean doctor's salary (in thousands of dollars) is significantly more than $86 thousand dollars.

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 $86 thousand dollars. A random sample of 26 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 1% level of significance. Salary (in thousands of dollars) 96.87 82.57 86.49 93.06 91.93 94.94 95.87 92.26 91.19 97.09 86.81 89.87 91.2 92.77 97.61 88.12 81.65 85.94 90.2 96.25 85.12 96.05 82.72 90.87 81.8 94.91 Preliminary: a. Is it safe to assume that n ≤ 5% of all doctors earning a salary? Yes No b. Is n > 30? No Yes c. Since n < 30, then determine whether the box plot of salaries contains any outliers. 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 Salary There are outliers from the box plot. There aren't outliers from the box plot. 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 Select an answer ✰ ? ◇ H₁ Select an answer ? ◇ b. Based on the hypotheses, calculate the following. Round to four decimal places. Test Statistic = p-value = c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer ✰ that the population mean doctor's salary (in thousands of dollars) is significantly more than $86 thousand dollars.
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 $86 thousand dollars. A random sample of 26 doctors' salaries (in thousands of dollars) is given in the table. Test the hospital recruiting company's claim using a 1% level of significance. Salary (in thousands of dollars) 96.87 82.57 86.49 93.06 91.93 94.94 95.87 92.26 91.19 97.09 86.81 89.87 91.2 92.77 97.61 88.12 81.65 85.94 90.2 96.25 85.12 96.05 82.72 90.87 81.8 94.91 Preliminary: a. Is it safe to assume that n ≤ 5% of all doctors earning a salary? Yes No b. Is n > 30? No Yes c. Since n < 30, then determine whether the box plot of salaries contains any outliers. 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 Salary There are outliers from the box plot. There aren't outliers from the box plot. 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 Select an answer ✰ ? ◇ H₁ Select an answer ? ◇ b. Based on the hypotheses, calculate the following. Round to four decimal places. Test Statistic = p-value = c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer ✰ that the population mean doctor's salary (in thousands of dollars) is significantly more than $86 thousand dollars.
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