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Coca Cola recently started using a new bottling machine. The manufacturer of the machine believes that it taps 33cl in each can. He knows that the standard deviation is 0.99 cl. In a sample of 20 cans, the average is 28cl. The production process is normally distributed.

a) Draw the power function of the hypothesis test?

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Coca Cola recently started using a new bottling machine. The manufacturer of the machine believes that it taps 33cl in each can. He knows that the standard deviation is 0.99 cl. In a sample of 20 cans, the average is 28cl. The production process is normally distributed.

a) Draw the power function of the hypothesis test?

A researcher is evaluating the influence of a treatment using a sample selected from a normally distributed population with a mean of u = 80 and a standard deviation of o = 20. The researcher expects a 12-point treatment effect and plans to use a two-tailed hypothesis test with a .05.

a. Compute the power of the test if the researcher uses a sample of n = 16 individuals. (See Example 8.6.)

b. Compute the power of the test if the researcher uses a sample of n = 25 individuals

The queue manager at a bank believes that their clients spend, on average, less than 15 minutes in the queue. To test his belief the manager commissioned a study, which found out that, from a random sample of 80 customers, the average waiting time was 18 minutes. Assume a population standard deviation of 3 minutes and that the waiting time is approximately normally distributed.
(a) Formulate the null and the alternative hypothesis for this test situation. 
(b) Which test statistic (z or t) is appropriate for this test? Give a reason for your answer. 
(c) Conduct a hypothesis test for a single mean at 5% significance level. Interpret your results

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