A recent study found that 61 children who watched a commercialfor potato chips featuring a celebrity endorser ate a mean of 38grams of potato chips as compared to a mean of 25 grams for 51children who watched a commercial for an alternative food snack.Suppose that the sample standard deviation for the children whowatched the? celebrity-endorsed commercial was 21.1 grams and thesample standard deviation for the children who watched thealternative 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, constructa 95?% confidence interval estimate of the difference mu 1 minus mu2 between the mean amount of potato chips eaten by the children whowatched the? celebrity-endorsed commercial and children who watchedthe alternative food snack commercial.determine the 95?% confidenceinterval using? technology, rounding to two decimal places?
c. Compare and discuss the results of? (a) and? (b).
