Eddie Clauer 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 14 sales receipts for mail-order sales results in a mean sale amount of $93.90 with a standard deviation of $24.75. A random sample of 8 sales receipts for internet sales results in a mean sale amount of $82.00 with a standard deviation of $21.25. Using this data, find the 99% 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 1 of 3 :

Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

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