# Statistics

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.

https://brainmass.com/statistics/hypothesis-testing/statistics-14456

#### 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 ...

#### 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.