The HR director of a company wishes to study whether there are any differences in the average salaries of employees across three departments. Selecting a random sample of 5 employees from each department, she records their salaries as shown in the table below (as measured in thousands of dollars). Department X Department Y 10 Department Z 9 12 10.5 15 15 12.6 16 16.5 10.9 14.5 15.5 15 12 14 A. State the null and alternative hypothesis. B. Compute the analysis of variance table for the salaries of employees across the departments. (Hint: Copy and paste the table below, then fill in the values). Analysis of Variance Summary Table Sum of Squares (S) Mean Square (MS) Source d.f. F p-Value Between Within (Error) C. At a=0.1, can it be concluded that there is a significant difference in the average salaries of employees across three departments? (Use the n-value method to make vour decision)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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The HR director of a company wishes to study whether there are any differences in the average salaries of employees across three
departments. Selecting a random sample of 5 employees from each department, she records their salaries as shown in the table below (as
measured in thousands of dollars).
Department X
Department Y
Department Z
10
12
10.5
15
15
12.6
16
16.5
10.9
14.5
15.5
15
12
14
A. State the null and alternative hypothesis.
B. Compute the analysis of variance table for the salaries of employees across the departments. (Hint: Copy and paste the table below, then
fill in the values).
Analysis of Variance Summary Table
Sum of Squares
Mean Square
Source
d.f.
F
p-Value
(S)
(MS)
Between
Within (Error)
C. At a= 0.1, can it be concluded that there is a significant difference in the average salaries of employees across three departments? (Use the
p-value method to make your decision).
Transcribed Image Text:The HR director of a company wishes to study whether there are any differences in the average salaries of employees across three departments. Selecting a random sample of 5 employees from each department, she records their salaries as shown in the table below (as measured in thousands of dollars). Department X Department Y Department Z 10 12 10.5 15 15 12.6 16 16.5 10.9 14.5 15.5 15 12 14 A. State the null and alternative hypothesis. B. Compute the analysis of variance table for the salaries of employees across the departments. (Hint: Copy and paste the table below, then fill in the values). Analysis of Variance Summary Table Sum of Squares Mean Square Source d.f. F p-Value (S) (MS) Between Within (Error) C. At a= 0.1, can it be concluded that there is a significant difference in the average salaries of employees across three departments? (Use the p-value method to make your decision).
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