USA Today reported the following information about pounds of candy consumed annu

Question

USA Today reported the following information about pounds of candy consumed annually per person in the United States over the past several years. 18.4 18.3 19.2 20.8 20.4 20.1 20.3 20.4 Compute a 95% confidence interval for the population mean annual per person consumption of candy in the United States If in England they consume on average 1.6 pounds of candy per month, can we conclude the U.S. consumes more candy?

Explanation / Answer

Given n=8, xbar= 19.74, s=0.97 (a) =0.05, t(0.025, df=n-1=8-1=7)=2.36 (check student ttable) The 95% CI is xbar ± t*s/n --> 19.74 ± 2.36*0.97/sqrt(8) --> (18.93, 20.55) (b) The test hypothesis is Ho:1.6*12=19.2 The test statistic is t=(xbar - ) / (s/n) =(19.74- 19.2)/ (0.97/sqrt(8)) =1.57 Since t=1.57

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