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Business Statistics Grantham University

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Based on a survey of
1,000 adults by Greenfield Online and resported in a May 2009 USA Today
Snapshot, adults 24 years of age and under spend a weekly average of $35 on
fast food. If 200 of the adults surveyed were in the age catetory of 24 and
under and they provided a standard deviation of $14.50, construct a 95%
confidence interval for the weekly average expenditure on fast food for adults
24 years of age and under. Assume fast food weekly expenditures are normally
distributed.

 

Question 2

 

An experiment ws
designed to estimate the mean difference in weight gain for pigs fed ration A
as compared with those fed ration B. Eight pairs of pigs were used. The pigs
within each pair were littermates. The rations were assigned at random to the
two animals within each pair. The gains (in pounds) after 45 days are shown
below:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

RationA

 

 

RationB

 

 

65

 

 

58

 

 

37

 

 

39

 

 

40

 

 

31

 

 

47

 

 

45

 

 

49

 

 

47

 

 

65

 

 

55

 

 

53

 

 

59

 

 

59

 

 

51

 

 

Assuming weight gain is
normal, find the 95% confidence interval estimate for the mean of the
differences μd where d= ration A – ration B.

 

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