You wish to test the following claim (H1) at a significance
level of α=0.001.
Ho:μ1=μ2
H1: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? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
The given data is,
Sample #1 | Sample #2 | |||||||
97.5 | 85.7 | 94.6 | 100.3 | 89.5 | 85.2 | 71.6 | 82.5 | |
81.4 | 95.2 | 83.1 | 94.9 | 87.6 | 76 | 93.8 | 111.8 | |
87.5 | 96.6 | 92.7 | 82.1 | 75.2 | 91.5 | 93.8 | 73.9 | |
85.2 | 77.8 | 91.5 | 101.7 | 96.5 | 73.5 | 68.5 | 93.8 | |
85.7 | 90.8 | 88.4 | 86.5 | 87 | 80.7 | 86.4 | 66.9 | |
98.1 | 81.4 | 88.7 | 95.2 | 81.3 | 102.6 | 80.7 | 73 | |
86.5 | 83.4 | 92.9 | 102.8 | 81.6 | 69.2 | 81 | 87.6 | |
95.7 | 94.1 | 95.4 | 88.9 | 56.8 | 98.2 | 71.6 | 84.6 | |
89.1 | 102.8 | 83.4 | 99.5 | 73.9 | 87.9 | 76 | 88.8 | |
90.8 | 106.6 | 93.6 | 81.4 | 96.5 | 97.6 | 93 | 63.6 | |
96.6 | 93.9 | 88.2 | 86.2 | 92.3 | 67.7 | 74.8 | 85.5 | |
96 | 96 | 102.2 | 75.8 | 73 | 76.3 | 108.5 | 87.6 | |
86.5 | 99.9 | 84.6 | 98.5 | 77.8 | 103.7 | 71.6 | 91.2 | |
84.6 |
Here we wish to test the following claim (H1) at a
significance level of α=0.001.
Ho:μ1=μ2 V/s
H1:μ1>μ2
The test statistic for this sample is,
Z=4.203
What is the p-value for this sample?
p-value
=0.0000132
The p-value is.
This test statistic leads to a decision to,
As such, the final conclusion is that.
Explanation:
You wish to test the following claim (H1) at a significance level of α=0.001. Ho:μ1=μ2 H1:μ1>μ2...
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 (H1) at a significance level of α=0.005. Ho:μ1=μ2 H1:μ1>μ2 You obtain a sample of size n1=117 with a mean of M1=62.8 and a standard deviation of SD1=10.2 from the first population. You obtain a sample of size n2=114 with a mean of M2=57.5 and a standard deviation of SD2=12.8mfrom the second population. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the...
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 a 0.01 You obtain the following two samples of data. Sample #1 Sample #2 81.473.489.6 102.2 76 55.3 102.277.5 110.8 77.9 94.576.5 108.5 105 88.4113.9 91.6 90.8 59.9 79.3 90 90.861.6 93.7101.6 78.4103.5 100.4 65.397.8 84.6 95.459.9 102.9 70.3 92 71.6 68.8105.895.4 68 100.4 101 68 96.3 109.6 85.7 73.5 96.4 85.384.1 74.481.5 88.474.8 96.4 102.3 81.2 74.486.475.6 76.4 85.3 95.9 68 63.486.1 102.375.6 82.7 73.5 84.4...
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...
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=12n=12 subjects. The average difference (post - pre) is ¯d=13.9d¯=13.9 with a standard deviation of the...
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 (H1) at a significance level of α=0.005. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 H1:μd<0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=40 subjects. The average difference (post - pre) is ¯d= −7.7 with a standard deviation of...