You wish to test the following claim (Ha) at a significance level of a = 0.002. H,: 41 - 2 = 0 Ha: µ1 – P2 < 0 You obtain a sample of size nı from the first population. You obtain a sample of size n2 deviation of s2 = 18.7 from the second population. 70 with a mean of 1 85.5 and a standard deviation of s1 = 15.1 70 with a mean of 2 88.7 and a standard %3D %3D **Be sure to test the variances first to determine whether or not you will need to pool.** What is the critical value for this test? (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 = The test statistic is... O in the critical region O not in the critical region

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You wish to test the following claim (Ha) at a significance level of a = 0.002.
H.: H1 - H2 = 0
Ha:µ1 – µ2 <0
You obtain a sample of size nį = 70 with a mean of x1
from the first population. You obtain a sample of size n2
deviation of s2 = 18.7 from the second population.
85.5 and a standard deviation of s1
70 with a mean of x2
15.1
88.7 and a standard
%3D
*Be sure to test the variances first to determine whether or not you will need to pool.**
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value
%3D
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
O in the critical region
O not in the critical region
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.002. H.: H1 - H2 = 0 Ha:µ1 – µ2 <0 You obtain a sample of size nį = 70 with a mean of x1 from the first population. You obtain a sample of size n2 deviation of s2 = 18.7 from the second population. 85.5 and a standard deviation of s1 70 with a mean of x2 15.1 88.7 and a standard %3D *Be sure to test the variances first to determine whether or not you will need to pool.** What is the critical value for this test? (Report answer accurate to three decimal places.) critical value %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region
This test statistic leads to a decision to...
O reject the null hypothesis
O accept the null hypothesis
O fail to reject the null hypothesis
As such, the final conclusion is that...
O There is enough evidence to show that the first population mean is not less than the second
population mean.
O There is not enough evidence to show that the first population mean is not less than the second
population mean.
There is enough evidence to show that the first population mean is less than the second population
mean.
O There is not enough evidence to show that the first population mean is less than the second
population mean.
Transcribed Image Text:This test statistic leads to a decision to... O reject the null hypothesis O accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... O There is enough evidence to show that the first population mean is not less than the second population mean. O There is not enough evidence to show that the first population mean is not less than the second population mean. There is enough evidence to show that the first population mean is less than the second population mean. O There is not enough evidence to show that the first population mean is less than the second population mean.
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