# Hypothesis testing problem

See attached file.

Please show all work.

Consider the following hypothesis test:

Ho: mu >= 80

Ha: mu < 80

A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion (reject or fail to reject) for each of the following sample results. Use alpa = 0.01

1. x = 78.5

2. x = 77

3. x = 75.5

4. x = 81

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Test the claim that Mu > = 100 with alpha = .05 n= 9, mean = 11 and s = 2

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At the 0.10 level of significance, test the claim of the Mill Valley Brewery that it fills bottles with amounts having a mean greater than 32oz. A sample of 27 bottles produces a mean of 32.2oz and a standard deviation of 0.4oz.

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A bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The manager hopes the new system will reduce waiting times from 9 to 10 minutes to less than 6 minutes.

Suppose the manager wishes to use the 100 waiting times to support the claim that the mean waiting time under the new system is shorter than six minutes.

Let mu represent the mean waiting time under the new system, set up the null and alternative hypothesis.

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Consider the following hypothesis test: Ho: = 22, Ha: 22

sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for x = 23

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Given n = 106, mean = 98.2, s = 0.62 and alpha = 0.05.

Test the claim that the mean body temperature of healthy adults is equal to 98.6 degrees.

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Find the rejection point for Ho: mu <= 1 versus Ha: mu > 1 with n= 15 and alpha = 0.05

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Given n = 49, Ho: mu = 20, Ha: mu <20

Find the test statistic z if mean = 18 and s = 7

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#### Solution Summary

Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.