Test the claim: a. What are the null and alternative hypotheses? Ho: P H₁: P b. Based on the hypotheses, calculate the following. Round to four decimal places. Test Statistic = p-value = c. Make a decision. OF Reject the null hypothesis 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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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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