Question

A process engineer developed a new packaging technique for coffee bags which is believed to provide a standard deviation for the weight of coffee in the bag equal to 5g. A sample of 25 coffee bags is found to have a standard deviation of 7g.

1. Can we believe the claim of the engineer (use 95% level of significance and consider the P-value)?

a) Yes (P-value<0.025) b)Yes (P-value>0.05)   c)Yes (P-value<0.05) d)Yes (P-value>0.025)

               

e) No (P-value<0.025)   f)No (P-value>0.05)     g)No (P-value<0.05)    h)No (P-value>0.025)

A sample of 25 bags of coffee packed according to the traditional method provides a standard deviation of the coffee weight equal to 9.5g. Recall that a sample of 25 bags packed with the new packaging technique provides a standard deviation of 7g.

2. Does the new packaging technique provide a smaller standard deviation in coffee weight when compared to the traditional method (use 95% level of significance and consider the P-value)?

a) Yes (P-value<0.025) b)Yes (P-value>0.05)   c)Yes (P-value<0.05) d)Yes (P-value>0.025)

               

e) No (P-value<0.025)   f)No (P-value>0.05)     g)No (P-value<0.05)    h)No (P-value>0.025)

According to a recent survey, during the Thanksgiving dinner, 65% of Americans prefer to deep fry the turkey rather than baking it into the oven. From a random sample of 30 American families, we find that only 16 of them fried the turkey on Thanksgiving.

1. Should we believe the claim of the survey (use 95% level of significance)?

a) Yes (P-value<0.025) b)Yes (P-value>0.05)   c)Yes (P-value<0.05) d)Yes (P-value>0.025)

               

e) No (P-value<0.025)   f)No (P-value>0.05)     g)No (P-value<0.05)    h)No (P-value>0.025)

Answer 1

Answer: A process engineer developed a new packaging technique for coffee bags which is believed to provide a standard deviation for the weight of coffee in the bag equal to 5g. A sample of 25 coffee bags is found to have a standard deviation of 7g.

Solution:

Answer: A sample of 25 bags of coffee packed according to the traditional method provides a standard deviation of the coffee weight equal to 9.5g. Recall that a sample of 25 bags packed with the new packaging technique provides a standard deviation of 7g.

Solution:

According to a recent survey, during the Thanksgiving dinner, 65% of Americans prefer to deep fry the turkey rather than baking it into the oven. From a random sample of 30 American families, we find that only 16 of them fried the turkey on Thanksgiving.

Solution:

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