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.   __ ≤μ1−μ2≤ __  ​(Type integers or decimals rounded to two decimal places as​ needed.)   The mean amount of chips eaten by children that watch the commercial featuring the celebrity is between 3.34 and 16.66 grams more than the children that​ don't. since the interval is​ > 0, the decision to reject Ho is valid...   Based on the results of​ (a) and​ (b) if you wanted to increase the consumption of this brand of potato​ chips, which commercial would you​ choose?     A. Choose the commercial with the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly lower for children who watched the​ celebrity-endorsed commercial.   B. Choose the commercial without the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly lower for children who watched the​ celebrity-endorsed commercial.   C. Choose the commercial with the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.   D. Choose the commercial without the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A recent study found that 62 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 39 grams of potato chips as compared to a mean of 25 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 21.4 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.9 grams.

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.
 
__ ≤μ1−μ2≤ __ 
​(Type integers or decimals rounded to two decimal places as​ needed.)
 
The mean amount of chips eaten by children that watch the commercial featuring the celebrity is between 3.34 and 16.66 grams more than the children that​ don't. since the interval is​ > 0, the decision to reject Ho is valid...
 
Based on the results of​ (a) and​ (b) if you wanted to increase the consumption of this brand of potato​ chips, which commercial would you​ choose?
 
 
A. Choose the commercial with the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly lower for children who watched the​ celebrity-endorsed commercial.
 
B. Choose the commercial without the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly lower for children who watched the​ celebrity-endorsed commercial.
 
C. Choose the commercial with the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.
 
D. Choose the commercial without the celebrity​ endorser since there is evidence that the mean amount of potato chips eaten was significantly higher for children who watched the​ celebrity-endorsed commercial.
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