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ll be profitable if the average wind speed at the proposed turbine site is more than...

  1. ll be profitable if the average wind speed at the proposed turbine site is more than 8 mph. For a site north of West Lafayette, the wind speed was monitored every 8 hours for a one year period. A total of 1095 readings had an average speed of 8.319 mph with a standard deviation of 3.909. An appropriate 1-sided hypothesis test was conducted to test whether the average wind speed at the site is more than 8 mph. Which of the below would be a Type I error for this test?

Math   Statistics-And-Probability   
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Answer #1

claim : to test whether the average wind speed at the site is more than 8 mph.

we have : n =1095

mu= population mean = 8

x bar = sample mean = 8.319

s = standard deviation = 3.909

To test : Ho : mu =8 vs H1 : mu > 8 ( it is right tail test )

Test statistics : Z because sample size is large

Z = (x bar - mu ) SQRT(n) / s

Z = 10.555 / 3.909 = 2.700

here we do not have alpha value assume alpha value is 95 %

Z critical value is 1.64 from table

## Decision : we reject Ho if Z statistics value is greater than Z critical value

here Z   statistics value is greater than Z critical value .

## Conclusion : our claim is satisfy for alpha value is 95 %

here population mean is greater than 8 here type 1 error is satisfy

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