Question

K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 10 sales receipts for mail-order sales results in a mean sale amount of $76.90 with a standard deviation of $21.75. A random sample of 14 sales receipts for internet sales results in a mean sale amount of $62.90 with a standard deviation of $22.75. Using this data, find the 80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed. Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Answer 1

Assuming that the population variances are not equal and that the two populations are normally distributed,