You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho: 1 = 12 Ha: 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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You wish to test the following claim (Ha) at a significance level of a = 0.01.
Ho: 1 = 2
Ha: 1 <H2
You believe both populations are normally distributed, but you do not know the standard
deviations for either. However, you also have no reason to believe the variances of the two
populations are not equal. You obtain the following two samples of data.
Sample #1
Sample #2
74.4 65.6 56.7
56.2 51.6 64.3
58.6 64.9 62.4
67.3 63.1 65
60.6 69.3 66.1
60.7 57.3 60.2
62.7 67.1
58.8
62.3
59.3
66.6 73.8 69.6
85.1 37.4
51.6
86.9 75.8
82.3
61.9 74.8 72.9
68.6 37.4
85.1
71.5 80.7 78.7
96.1
68.6 77.2
57
76.2
69.1
92.5
73.8
What is the critical value for this test? For this calculation, use the degrees of freedom
reported from the technology you are using. (Report answer accurate to three decimal
places.)
critical value=
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho: 1 = 2 Ha: 1 <H2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 74.4 65.6 56.7 56.2 51.6 64.3 58.6 64.9 62.4 67.3 63.1 65 60.6 69.3 66.1 60.7 57.3 60.2 62.7 67.1 58.8 62.3 59.3 66.6 73.8 69.6 85.1 37.4 51.6 86.9 75.8 82.3 61.9 74.8 72.9 68.6 37.4 85.1 71.5 80.7 78.7 96.1 68.6 77.2 57 76.2 69.1 92.5 73.8 What is the critical value for this test? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to three decimal places.) critical value= What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
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