Question

A company claimed that every 18-ounce bag of their chocolate chip cookies contained at least 1000 chocolate chips. Dedicated statistics students at a school purchased some randomly selected bags of cookies and counted the chocolate chips. Some of their data are given below. a) Check the assumptions and conditions for inference. Comment on any concerns you have. b) Test their claim by performing an appropriate hypothesis test. 1225 1217 1089 1192 1426 1125 1322 1347 0 1238 12491346 1130 1192 1275 1292 1130

What is the test statistic? t=

What is the P value?

Answer 1

solution n=16 (given) X - ΣΧ. 1979 - 1237.1875 $. § (X; -^ ) 133480.4375 133480.4375 2898.696 15 15 (a) Hoi Hi! u > 1000 U <1000 (null hypothesis ) (Alternative hypothesis) (b) test statistic t = X-M 1237.1875-1000 slun 94.33 / 556 t = 237.1875 23:58325 = -10.057 negative because of left tailed). p-value for -10.057 is 0.00001 for 0.05 l.o.s. Since the p-value is < 0.05 Clevel of significance). Hence the result is significant. We reject the null uppothesis. j.e., Every 18-ounce bag of their chocolate chip cookies contained less than 1000 chocolate chips.