You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha: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 =
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2...
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2 You obtain the following two samples of data. Sample #1 Sample #2 54.9 57.4 66.1 63.7 48.9 57.4 65.2 59.3 48.9 57.9 57.6 51.8 56.3 59.6 59.4 55.1 65.8 58 49.4 64.4 65.2 52.6 62.7 58.8 56.8 62.3 59.3 54.9 61.9 52.8 53.9 62.9 60.9 54.1 62.7 54.1 62.5 54.5 64.4 58 65.2 47.6 56.9 65.8 62.7 54.1 53.3 62.3 53.3 79.6 71.4 66.3...
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2 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 71.1 63.8 81 49.3 62.8 59.3 43.7 53.6 57.4 46.8 54.6 46.8 60.5 86.5 81 53.6 55.8 83.2...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 46 61.3 37.8 45.3 63.2 52.6 26.3 49.6 49 63.8 60.4 40.6 67.9 55 50.8 49.3 33.9 40.6 55 54.4 53.5 34.7 62.2 33.9 59.2 43.6 51.1 52.6 52.9 23 71.2 46 60.4 41.8 62.2 54.4 41.4 36 32.2 49.3 41.4 48.4 57.9 67.2 35.2 55.3 53.6 75.4 48.9 66.7 57.6 39.9...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2 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 82.9 76 98.2 63.9 76.2 86.9 71.7 82.5 77.4 87.4 61.8 85.1 89 83 88.5 86.4 78.9 92.7...
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n1=24n1=24 with a mean of ¯x1=71.1x¯1=71.1 and a standard deviation of s1=18.6s1=18.6 from the first population. You obtain a sample of size n2=25n2=25 with a mean...
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2 You obtain the following two samples of data. Sample #1 Sample #2 78.5 66.6 90.1 69.7 76.1 82.9 78.7 77.3 84.8 71 76.9 92.5 65.2 71.7 76.5 63.3 66.6 76.9 74.7 85.2 81.1 84.5 91.2 75.5 76.1 73.3 89.3 69.9 57.9 69.1 82.7 71.9 70.2 89.3 79.3 73.9 65.2 73.9 83.2 74.4 80.3 69.5 81.8 78 94.8 67 91.1 89.2 80.2 73.9 85 81.8...
You wish to test the following claim (Ha) at a significance level of α=0.01. Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Test statistic P value Accept or reject the null Sample #1 101.8 54.7 76.6 106.8 91.5 83.8 84.1 96.4 80.7 83.2 94.4 89.6 71.2 81.9 87.3 89.6 93.1 60.2 91.1 103.9 85.4 82.3 90 74.3 98.7 100.9 96.4 74.7 95.8 98.1 67.6 81.3 72.6 96.9 68.9 92.3 90.4 70.1 102.8 82.6 79.7 73.9 78.7 83.8 100.1...
You wish to test the following claim (Ha) at a significance level of α=0.01. Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. A.__________Test statistic three decimal places B.__________ P value four decimal places. C.__________Accept or reject the null Sample 1 101.8 54.7 76.6 106.8 91.5 83.8 84.1 96.4 80.7 83.2 94.4 89.6 71.2 81.9 87.3 89.6 93.1 60.2 91.1 103.9 85.4 82.3 90 74.3 98.7 100.9 96.4 74.7 95.8 98.1 67.6 81.3 72.6 96.9 68.9 92.3 90.4 70.1...
You wish to test the following claim (Ha) at a significance level of α=0.01. Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Test statistic? P value? Accept or reject the null? Sample #1 101.8 54.7 76.6 106.8 91.5 83.8 84.1 96.4 80.7 83.2 94.4 89.6 71.2 81.9 87.3 89.6 93.1 60.2 91.1 103.9 85.4 82.3 90 74.3 98.7 100.9 96.4 74.7 95.8 98.1 67.6 81.3 72.6 96.9 68.9 92.3 90.4 70.1 102.8 82.6 79.7 73.9 78.7 83.8 100.1...
You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 H1:μ1≠μ2H1:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you have reason to believe that the variances of the two populations are equal. You obtain a sample of size n1=12n1=12 with a mean of M1=83.9M1=83.9 and a standard deviation of SD1=20.7SD1=20.7 from the first population. You obtain a sample of size n2=12n2=12 with a mean...