# Question: Repeat Exercise 8 with the additional assumption that 1

Repeat Exercise 8 with the additional assumption that σ1 = σ2. How are the results affected by this additional assumption?

Assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal σ1 = σ2, so that the standard error of the differences between means is obtained by pooling the sample variances as described in Part 2 of this section.

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Do the following:

a. Test the given claim using the P-value method or critical value method.

b. Construct a confidence interval suitable for testing the given claim.

Assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal σ1 = σ2, so that the standard error of the differences between means is obtained by pooling the sample variances as described in Part 2 of this section.

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Do the following:

a. Test the given claim using the P-value method or critical value method.

b. Construct a confidence interval suitable for testing the given claim.

**View Solution:**## Answer to relevant Questions

An experiment was conducted to test the effects of alcohol. Researchers measured the breath alcohol levels for a treatment group of people who drank ethanol and another group given a placebo. The results are given below. Use ...Confidence Interval Example 2 in this section used only five pairs of data from Data Set 12 in Appendix B. Repeat Example 2 using all of the cases with heights for both the president and the main opponent. The accompanying ...Speaking Couples Listed below are the numbers of words spoken in a day by each member of six different couples. The data are randomly selected from the first two columns in Data Set 17 from Appendix B. Use a 0.05 ...Oscars Use the sample data from Data Set 11 in Appendix B to test for a difference between the ages of actresses and actors when they win Oscars. Use a significance level of α = 0.05. Use the indicated Data Sets from ...Data Set 19 in Appendix B includes the weights (in pounds) of samples of regular Coke and regular Pepsi. If we use a TI-83/84 Plus calculator to test the claim that weights of regular Coke and weights of regular Pepsi have ...Post your question