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 (So use the "Pool" option). You obtain a sample of size n1=10n1=10 with a mean of M1=54.6M1=54.6 and a standard deviation of SD1=18.8SD1=18.8 from the first population. You obtain a sample of size n2=12n2=12 with a mean of M2=41.8M2=41.8 and a standard deviation of SD2=18.5SD2=18.5 from the second population. 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? (use tcdf, entering the degree of freedom for the smaller sample size) (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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

See similar textbooks

Related questions

Question

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 (So use the "Pool" option). You obtain a sample of size n1=10n1=10 with a mean of M1=54.6M1=54.6 and a standard deviation of SD1=18.8SD1=18.8 from the first population. You obtain a sample of size n2=12n2=12 with a mean of M2=41.8M2=41.8 and a standard deviation of SD2=18.5SD2=18.5 from the second population.

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? (use tcdf, entering the degree of freedom for the smaller sample size) (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.

Expert Solution