Data consistent with summary quantities in the article \"Effects of Fast-Food Co

Question

Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did not eat fast food on that day and for a sample of children who did eat fast food on that day. Assume that it is reasonable to regard these samples as representative of the population of children in the United States.

(a) Use the given information to estimate the mean calorie intake for children in the United States on a day when no fast food is consumed. (Give the answer to one decimal place.)


(b) Use the given information to estimate the mean calorie intake for children in the United States on a day when fast food is consumed. (Give the answer to one decimal place.)


(c) Use the given information to estimate the produce estimates of the standard deviations of calorie intake for days when no fast food is consumed and for days when fast food is consumed. (Give the answer to three decimal places.)
No Fast Food is consumed
s =

Fast Food is consumed
s =

You may need to use the appropriate table in Appendix A to answer this question.

No Fast Food 2336 1923 1014 1735 1474 2058 2148 1986 1857 1782 1770 1832 1653 1511 2674

Explanation / Answer

here

from above

a)mean calorie intake for children in the United States on a day when no fast food is consumed. =1850.2

b)mean calorie intake for children in the United States on a day when fast food is consumed=1776.0667

c)standard deviations of calorie intake for days when no fast food is consumed =(2089688.4/14)1/2=386.346

d)standard deviations of calorie intake for days when fast food is consumed =(5393058.9/14)1/2=620.660

No Fast Food(y) (x-xbar)^2 Fast Food(y) (y-ybar)^2 2336 236001.64 2524 559404.27 1923 5299.84 1759 291.27111 1014 699230.44 935 707393.14 1735 13271.04 2329 305735.27 1474 141526.44 2435 434193.14 2058 43180.84 2268 241998.4 2148 88684.84 2527 563900.87 1986 18441.64 1196 336477.34 1857 46.24 891 783343 1782 4651.24 1512 69731.204 1770 6432.04 876 810120 1832 331.24 2208 186566.4 1653 38887.84 1812 1291.2044 1511 115056.64 1251 275695 2674 678646.44 2118 116918.4 total 27753 2089688.4 total 26641 5393058.9 mean=T/15=Xbar 1850.2 mean=T/15=Ybar 1776.0667

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