A national organization has been working with utilities throughout the nation to

Question

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 22 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted win speed tests at a particular site. Based on a sample of n=33 wind speed recordings (taken at random intervals), the wind speed at the site averaged , with a standard deviation of       s= 4.3 mph. Use this information to test whether the data gives evidence that the organization’s requirements have been met at an =0.01.

Part a. Label the parameter

part b. state your hypothesis:

c. Write the name of the test you will use:

d. Verify the required conditions for your proposed test:

e. Identify the level of significance:

f. Find the rejection region:

g. calculate the test statistic:

h. Find the P value

i. Make your decison using the RR:

j. Make your decision using your P value

k. State your conculsion in the context of the problem

Explanation / Answer

Part a. Label the parameter

Parameters are sample mean and sample standard deviation and sample size

b) Hypothesis:

Wind speeds must average more than 22 miles per hour (mph) for a site to be acceptable

c)

Since population standard deviation is unknown we should use t test

d)

since sample size is small and population standard deviation is unknown we can use t test

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