You wish to test the following claim (Ha) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 74.2 84.4 47.5 61 68.6 57 48.2 66.7 82.8 33.7 80 46 48.2 76.4 91.4 74.2 83.6 66.7 35.4 26 75.8 57.5 53.8 81.4 72.6 33.7 68.6 45.2 71.1 60.5 65.3 65.3 33.7 56 50.8 88 63.9 61 70.1 36.9 63.4 103.6 49.6 52.6 91.4 47.5 70.6 68.1 80 55.4 35.4 75.8 82.1 108.8 86.6 84.7 69.4 64.6 58.2 57.4 52.2 66.5 81.8 81.5 73.5 88.6 86.1 96.6 56.6 64.6 78.5 62.6 81.8 67.7 65.6 69 91.6 72.7 64.6 76.3 100.5 66.5 84.3 66 80.3 60.3 50.7 66.5
You wish to test the following claim (Ha) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 74.2 84.4 47.5 61 68.6 57 48.2 66.7 82.8 33.7 80 46 48.2 76.4 91.4 74.2 83.6 66.7 35.4 26 75.8 57.5 53.8 81.4 72.6 33.7 68.6 45.2 71.1 60.5 65.3 65.3 33.7 56 50.8 88 63.9 61 70.1 36.9 63.4 103.6 49.6 52.6 91.4 47.5 70.6 68.1 80 55.4 35.4 75.8 82.1 108.8 86.6 84.7 69.4 64.6 58.2 57.4 52.2 66.5 81.8 81.5 73.5 88.6 86.1 96.6 56.6 64.6 78.5 62.6 81.8 67.7 65.6 69 91.6 72.7 64.6 76.3 100.5 66.5 84.3 66 80.3 60.3 50.7 66.5
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
Related questions
Question
You wish to test the following claim (Ha) at a significance level of α=0.05
Ho:μ1=μ2
Ha:μ1≠μ2
You obtain the following two samples of data.
Sample #1 | Sample #2 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
|
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)
p-value =
The p-value is...
- less than (or equal to) αα
- greater than αα
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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