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Test a hypothesis : key informaiton

A sample of 65 observations is selected from one population. The sample mean is 2.67 and the
sample standard deviation is 0.75. A sample of 50 observations is selected from a second population.
The sample mean is 2.59 and the sample standard deviation is 0.66. Conduct the following
test of hypothesis using the .08 significance level.
H0: u1<=u2
H1: u1 > u2
a. Is this a one-tailed or a two-tailed test?
b. State the decision rule.
c. Compute the value of the test statistic.
d. What is your decision regarding H0?
e. What is the p-value?
Note: Use the five-step hypothesis testing procedure to solve the following exercises. (Show all work)

Solution Preview

A sample of 65 observations is selected from one population. The sample mean is 2.67 and the
sample standard deviation is 0.75. A sample of 50 observations is selected from a second population.
The sample mean is 2.59 and the sample standard deviation is 0.66. Conduct the following
test of hypothesis using the .08 significance level.
H0: u1<=u2
H1: u1 > u2
a. Is this a one-tailed or a two-tailed test?
Solution. This is a one-tailed test ...

Solution Summary

The solution contains detailed explanation of testing hypotheses using the five-step procedure attached in a word document.

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