# 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)

https://brainmass.com/statistics/hypothesis-testing/test-a-hypothesis-key-informaiton-25699

#### 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.