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A recent study found that 61 children who watched a commercial for potato chips featuring a...

A recent study found that 61 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 38 grams of potato chips as compared to a mean of 25 grams for 51 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the​ celebrity-endorsed commercial was 21.1 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.8 grams. Complete parts​ (a) through​ (c) below.

What is the test​ statistic?

Identify the​ p-value for this test from the technology​ output, rounding to three decimal places.

b. Assuming that the population variances are​ equal, construct a 95​% confidence interval estimate of the difference mu 1 minus mu 2 between the mean amount of potato chips eaten by the children who watched the​ celebrity-endorsed commercial and children who watched the alternative food snack commercial.determine the 95​% confidence interval using​ technology, rounding to two decimal places?

c. Compare and discuss the results of​ (a) and​ (b).

Solutions

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A recent study found that 61 children who watched a commercial for potato featuring a celebrity endorer ate a mean of 38 grams of potato chips as compared to a mean of 25 grams for 51 children who watched a commercial for an alternative food snack.Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.1 commercial was 12.8 grams


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