Question

In: Statistics and Probability

State the null and alternative hypotheses for each of the following situations (each ½ point): a)...

State the null and alternative hypotheses for each of the following situations (each ½ point):

a) A guideline for a telemarketing company states the mean time for completed calls should not exceed four minutes. Each month the company’s owner selects a random sample of call logs to determine whether the call-time goal is being met.

b) General Crunch Corporation distributes Mini-Oats Cereal in boxes with a stated weight of 18 ounces. To determine whether the filling machine should be adjusted, the quality control manager at General Crunch selects and weighs a random sample of boxes one day each week

c) A manufacturer of trash bags claims its new trash bag can hold or support at least 50 pounds, on average. A random sample of new trash bags is selected and tested.

d) Your friend claims the battery life of an iPad mini is less than 5 hrs, on average. You survey a random sample of friends who own an iPad mini to test your friend’s claim.

Solutions

Expert Solution

H0 : null hypothesis

H1 : alternative hypothesis

: population mean/average

A.

H0 : The mean time for completed calls is less than or equal to 4 minites

H0 : <= 4

H1 : The mean time for completed calls is more than 4 minutes

H1 : > 4

B.

H0 : The mean weight of mini oats cereal in a box is equal to 18 ounces.

H0 : = 18

H1 : The mean weight of mini oats cereal in a box is not equal to 18 ounces

H1 : is not equal to 18

(since the manager will adjust the machine if the weight of mini oats cereal in a box is less than or greater than 18 ounces)

C.

H0 : Mean weight a trash bag holds is greater than or equal to 50 pounds

H0 : >= 50

H1 : mean weight a trash bag hold is less than 50 pounds

H1 : < 50

D.

H0 : Mean battery life of an ipad mini is less than or equal to 5 hours

H0 : <= 5

H1 : Mean battery life of an ipad mini is more than 5 hours

H1 : > 5

orchestra answered 2 years ago
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