You wish to test the following claim (Ha) at a significance level of α=0.01. H0:μ1≤μ2 Ha:μ1>μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size n1=18 with a mean of M1=54.9 and a standard deviation of SD 1=7.9. You obtain a sample of size n2=17 with a mean of M2=48.5 and a standard deviation of SD2=18.9. test statistic = p-value = The p-value is... A.less than (or equal to) α B. greater than α This test statistic leads to a decision to... A. reject the null hypothesis B. fail to reject the null hypothesis As such, the final conclusion is that... A. There is sufficient sample evidence to support the claim that the first population mean is greater than the second population mean. B. There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You wish to test the following claim (Ha) at a significance level of α=0.01.

H0:μ1≤μ2
Ha:μ1>μ2

You believe both populations are normally distributed, but you do not know the standard deviations for either.

You obtain a sample of size n1=18 with a mean of M1=54.9 and a standard deviation of SD 1=7.9. You obtain a sample of size n2=17 with a mean of M2=48.5 and a standard deviation of SD2=18.9.

test statistic =

p-value =


The p-value is...
A.less than (or equal to) α
B. greater than α


This test statistic leads to a decision to...
A. reject the null hypothesis
B. fail to reject the null hypothesis


As such, the final conclusion is that...
A. There is sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
B. There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.

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