# Question: Consider the following sample data drawn independently from normally distributed

Consider the following sample data drawn independently from normally distributed populations with equal population variances.

Sample 1 Sample 2

12.1.............. 8.9

9.5.............. 10.9

7.3.............. 11.2

10.2.............. 10.6

8.9.............. 9.8

9.8.............. 9.8

7.2.............. 11.2

10.2.............. 12.1

a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.

b. What is the inference of the test at a 1% level of significance?

c. What is the inference of the test at a 10% level of significance?

Sample 1 Sample 2

12.1.............. 8.9

9.5.............. 10.9

7.3.............. 11.2

10.2.............. 10.6

8.9.............. 9.8

9.8.............. 9.8

7.2.............. 11.2

10.2.............. 12.1

a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.

b. What is the inference of the test at a 1% level of significance?

c. What is the inference of the test at a 10% level of significance?

## Answer to relevant Questions

Consider the following sample data drawn independently from normally distributed populations with unequal population variances.Sample 1 Sample 288........... ...In May 2008, CNN reported that sports utility vehicles (SUVs) are plunging toward the “endangered” list. Due to soaring oil prices and environmental concerns, consumers are replacing gas-guzzling vehicles with ...The following table contains information on matched sample values whose differences are normally distributed.a. Construct a 95% confidence interval for the mean difference µD .b. Specify the competing hypotheses in order ...The following table shows the annual returns (in percent) for Fidelity’s Select Electronic and Select Utilities mutual funds. The data set, labeled Electronic_Utilities, can also be found on the text website.a. Set up the ...Asian residents in Boston have the highest average life expectancy of any racial or ethnic group—a decade longer than black residents (Boston Globe, August 16, 2010). Suppose sample results indicative of the overall ...Post your question