A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.1 ounce. The machine is moved to a new location. To determine whether the standard deviation has changed, ten cans are filled. Following are the amounts in the ten cans. Assume them to be a random sample from a normal population. 12.18 11.77 12.09 12.03 11.87 11.96 12.03 12.36 12.28 11.85 Perform a hypothesis test to determine whether the standard deviation differs from 0.1 ounce. Use the a = 0.05 level of significance. What do you conclude? (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')

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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.1 ounce. The machine
is moved to a new location. To determine whether the standard deviation has changed, ten cans are filled. Following are the amounts in the ten cans. Assume them to
be a random sample from a normal population.
12.18
11.77
12.09
12.03
11.87
11.96
12.03
12.36
12.28
11.85
Perform a hypothesis test to determine whether the standard deviation differs from 0.1 ounce. Use the a = 0.05 level of significance. What do you conclude?
(1) Critical Values (Round off to 3 decimal places):
(2) Test Statistic (Round off to 2 decimal places):
(3) Conclusion:
(Type 'Reject HO' or 'Fail to Reject HO')
Transcribed Image Text:A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.1 ounce. The machine is moved to a new location. To determine whether the standard deviation has changed, ten cans are filled. Following are the amounts in the ten cans. Assume them to be a random sample from a normal population. 12.18 11.77 12.09 12.03 11.87 11.96 12.03 12.36 12.28 11.85 Perform a hypothesis test to determine whether the standard deviation differs from 0.1 ounce. Use the a = 0.05 level of significance. What do you conclude? (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
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