# Sample Standard Deviation

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: _1 _ _2

H1: _1 > _2

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/sample-standard-deviation-32569

#### 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: _1 _ _2

H1: _1 > _2

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