You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: 41 – 2 = 0 Ha: P1 - 42 < O You obtain a sample of size n1 = from the first population. You obtain a sample of size m2 = 70 with a mean of 2 = 88.7 and a standard 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 **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 = -2.927 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = -1.114 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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You wish to test the following claim (Ha) at a significance level of a
= 0.002.
Ho: µ1 - µ2 = 0
Ha: µ1 – µ2 < 0
You obtain a sample of size n1
from the first population. You obtain a sample of size n2
deviation of s2 =
70 with a mean of 1
85.5 and a standard deviation of s1
70 with a mean of 2 88.7 and a standard
15.1
18.7 from the second population.
**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 =
-2.927
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =-1.114
The test statistic is...
O in the critical region
not in the critical region
This test statistic leads to a decision to...
O reject the null hypothesis
accept the null hypothesis
O fail to reject the null hypothesis
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: µ1 - µ2 = 0 Ha: µ1 – µ2 < 0 You obtain a sample of size n1 from the first population. You obtain a sample of size n2 deviation of s2 = 70 with a mean of 1 85.5 and a standard deviation of s1 70 with a mean of 2 88.7 and a standard 15.1 18.7 from the second population. **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 = -2.927 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =-1.114 The test statistic is... O in the critical region not in the critical region This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis O fail to reject the null hypothesis
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