Answer B please A recent study found that 61 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 27 grams...


Answer B please





A recent study found that
61

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
27

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
21.3

grams and the sample standard deviation for the children who watched the alternative food snack commercial was
12.7

grams. Complete parts​ (a) through​ (d) below.










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?







A.



H0​:

μ1−μ2≥0



H1​:

μ1−μ2<>







B.



H0​:

μ1−μ2≠0



H1​:

μ1−μ2=0







C.



H0​:

μ1−μ2=0



H1​:

μ1−μ2≠0







D.



H0​:

μ1−μ2≤0



H1​:

μ1−μ2>0



Your answer is correct.



What is the test​ statistic?



tSTAT=2.652.65

​(Round to two decimal places as​ needed.)

What is the corresponding​ p-value?



​p-value=0.0050.005

​(Round to three decimal places as​ needed.)

What is the correct​ conclusion?







A.



Do not reject

H0.

There is
insufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.






B.



Do not reject

H0.

There is
sufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.






C.



Reject

H0.

There is
insufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.






D.



Reject

H0.

There is
sufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.


Your answer is correct.



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.



enter your response here≤μ1−μ2≤enter your response here


​(Type integers or decimals rounded to two decimal places as​ needed.)


Jun 04, 2022
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here