1. Are the mean rates of return different at the α=0.05 level of​ significance?   Use technology to find the​ F-test statistic for this data set.   F0=______? ​(Round to two decimal places as​ needed.)   2. Determine the​ P-value and state the appropriate conclusion below.   Since the​ P-value is _____?  there is not enough evidence to reject the null hypothesis.​ Thus, we cannot conclude that the mean rates of return are different at the α=0.05 evel of significance. ​(Round to three decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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A stock analyst wondered whether the mean rate of return of​ financial, energy, and utility stocks differed over the past 5 years. He obtained a simple random sample of eight companies from each of the three sectors and obtained the​ 5-year rates of return shown in the accompanying table​ (in percent).

financial    energy    utilities

10.76         12.89        11.88

15.05           13.96          5.86

17.21         6.43             13.67

5.07             11.23           9.90

19.50            18.93            3.95

8.16                20.73            3.44

10.38               9.60              7.11

6.52                17.40             15.70

   
  
1. Are the mean rates of return different at the α=0.05 level of​ significance?
 
Use technology to find the​ F-test statistic for this data set.
 
F0=______?
​(Round to two decimal places as​ needed.)
 
2.
Determine the​ P-value and state the appropriate conclusion below.
 
Since the​ P-value is _____?  there is not enough evidence to reject the null hypothesis.​ Thus, we cannot conclude that the mean rates of return are different at the α=0.05 evel of significance.
​(Round to three decimal places as​ needed.)
 
 

 

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