Mathematics, 31.10.2021 01:00 hrcatena
Land's Bend 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 12 sales receipts for mail-order sales results in a mean sale amount of $94.50 with a standard deviation of $19.25. A random sample of 17 sales receipts for internet sales results in a mean sale amount of $81.80 with a standard deviation of $20.75. 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 standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to two decimal places.
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