You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample? test statistic = Round to 3 decimal places. What is the p-value for this sample? p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. The sample data support the claim that the first population mean is not equal to the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02

Ho:μ1=μ2

Ha:μ1≠μ2

You obtain the following two samples of data.

Sample #1

Sample #2

67.1
64.2
32.7
49.0
63.8
54.8
63.5
54.1
65.6
54.8
40.5
58.7
39.4
43.1

72.5
73.1
70.2
71.2
68.1
73.1
79.7
67.3
66.5
61.7
62.9
76.5

What is the test statistic for this sample?

test statistic = Round to 3 decimal places.
What is the p-value for this sample?

p-value = Use Technology Round to 4 decimal places.
The p-value is...
- less than (or equal to) α

greater than α
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
- There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
- The sample data support the claim that the first population mean is not equal to the second population mean.
- There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.

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