Nabisco, the maker of Chips Ahoy! Cookies claims that there are at least 1000 chocolate chips in each 18 ounce bag of Chips Ahoy! Cookies.  A simple random sample of 42 bags of cookies yielded the following data on number of chocolate chips in 18 ounce bags of Chips Ahoy!.             1200    1219    1103    1213    1258    1325    1295             1247    1098    1185    1087    1377    1363    1121             1279    1269    1199    1244    1294    1356    1137             1545    1135    1143    1215    1402    1419    1166             1132    1514    1270    1345    1214    1154    1307             1293    1546    1228    1239    1440    1219    1191 a) Find a point estimate for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. (Note: ) b) Determine a 95.44% confidence interval for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. Assume   c) How would you decide whether the number of chocolate chips are approximately normally distributed? d) Must the number of chocolate chips per bag be exactly normally distributed for the confidence interval you found in part (b) to be approximately correct?

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Author:Amos Gilat
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Nabisco, the maker of Chips Ahoy! Cookies claims that there are at least 1000 chocolate chips in each 18 ounce bag of Chips Ahoy! Cookies.  A simple random sample of 42 bags of cookies yielded the following data on number of chocolate chips in 18 ounce bags of Chips Ahoy!.

            1200    1219    1103    1213    1258    1325    1295

            1247    1098    1185    1087    1377    1363    1121

            1279    1269    1199    1244    1294    1356    1137

            1545    1135    1143    1215    1402    1419    1166

            1132    1514    1270    1345    1214    1154    1307

            1293    1546    1228    1239    1440    1219    1191

  1. a) Find a point estimate for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. (Note: )
  2. b) Determine a 95.44% confidence interval for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. Assume  
  3. c) How would you decide whether the number of chocolate chips are approximately normally distributed?
  4. d) Must the number of chocolate chips per bag be exactly normally distributed for the confidence interval you found in part (b) to be approximately correct?
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