Question 1: A sample of size 80 is selected from a Population A yields a mean of 83 and a standard deviation of 12, and a sample of size 65 is selected from a Population B yields a mean of 67 and a standard deviation of 14. a. Find the standard error of the distribution of differences in sample means. b. Find the t-values for the endpoints of the t-distribution with 2.5% beyond them in each tail.

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Question 1: A sample of size 80 is selected from a Population A yields a mean of 83 and
a standard deviation of 12, and a sample of size 65 is selected from a Population B
yields a mean of 67 and a standard deviation of 14.
a. Find the standard error of the distribution of differences in sample means.
b. Find the t-values for the endpoints of the t-distribution with 2.5% beyond
them in each tail.
Question 2; We will be exploiting the relationship between the CityMPG and the Type
variables in the Car 2015 dataset.
a. Load these variables into Statkey, and enter in the following descriptive
statistics.
Sedan
Wagon
Sample Size
Мean
Standard Deviation
c. If we let mu_S = the mean city gas mileage for Sedans, and mu_W = the
mean city gas mileage for Wagons, find a 95 percent confidence interval for
mu_S - mu_W, the difference between the means.
d. Interpret your confidence interval in context of this problem.
Transcribed Image Text:Question 1: A sample of size 80 is selected from a Population A yields a mean of 83 and a standard deviation of 12, and a sample of size 65 is selected from a Population B yields a mean of 67 and a standard deviation of 14. a. Find the standard error of the distribution of differences in sample means. b. Find the t-values for the endpoints of the t-distribution with 2.5% beyond them in each tail. Question 2; We will be exploiting the relationship between the CityMPG and the Type variables in the Car 2015 dataset. a. Load these variables into Statkey, and enter in the following descriptive statistics. Sedan Wagon Sample Size Мean Standard Deviation c. If we let mu_S = the mean city gas mileage for Sedans, and mu_W = the mean city gas mileage for Wagons, find a 95 percent confidence interval for mu_S - mu_W, the difference between the means. d. Interpret your confidence interval in context of this problem.
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