Question
In: Statistics and Probability
A recent study found that 62 children who watched a commercial for potato chips featuring a...
A recent study found that 62 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 37 grams of potato chips as compared to a mean of 27 grams for 52 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 12.9 grams.
A. Assuming that the population variances are equal and α=0.05, is there evidence that the mean amount of potato chips eaten was significantly higher for the children who watched the celebrity-endorsed commercial? Let population 1 be the weights of potato chips eaten by children who watched the celebrity-endorsed commercial and let population 2 be the weights of potato chips eaten by children who watched the alternative food snack commercial. What are the correct null and alternative hypotheses?
What is the test statistic?
What is the corresponding p-value? What is the correct conclusion?
B. Assuming that the population variances are equal, construct a 95% confidence interval estimate of the difference μ1−μ2 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.
C. Compare and discuss the results of (a) and (b).
Solutions
orchestra answered 1 year agoRelated Solutions
A recent study found that 64 children who watched a commercial for potato chips featuring a...
A recent study found that 64 children who watched a commercial
for potato chips featuring a celebrity endorser ate a mean of 40
grams of potato chips as compared to a mean of 25 grams for 54
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 21.5 grams and the
sample standard deviation for the children who watched the
alternative food snack commercial was...
A recent study found that 63 children who watched a commercial for potato chips featuring a...
A recent study found that 63 children who watched a commercial
for potato chips featuring a celebrity endorser ate a mean of 35
grams of potato chips as compared to a mean of 26 grams for 53
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 21.4 grams and the
sample standard deviation for the children who watched the
alternative food snack commercial was...
A recent study found that 63 children who watched a commercial for potato chips featuring a...
A recent study found that 63 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 53
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 21.3 grams and the
sample standard deviation for the children who watched the
alternative food snack commercial was...
A recent study found that 64 children who watched a commercial for potato chips featuring a...
A recent study found that 64 children who watched a commercial
for potato chips featuring a celebrity endorser ate a mean of 36
grams of potato chips as compared to a mean of 26 grams for 54
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...
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...
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left parenthesis nothing comma nothing right parenthesis,
(Round to three decimal places as needed.)
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