In: Math
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).
From the given problem
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