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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: μ1≤ μ2
H1: μ1 > μ2
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.
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Solution Summary
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: μ1≤ μ2
H1: μ1 > μ2
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.
Solution Preview
a) This is a 1-tailed test since the null hypothesis is "<=". If it were "=" it would be a 2-tailed test.
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<br>b) Rule: Reject H0 if the p value < .08 (significance ...
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