The wind speed in Laramie, Wyoming is normally distributed. The average wind speed for the state...

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The wind speed in Laramie, Wyoming is normally distributed. Theaverage wind speed for the state of Wyoming is approximately 20mph. A curious student wanted to find out if the wind speed inLaramie was different than the state average. They took a sample of25 random days in Laramie, measured the wind speed, and found anaverage of 18 mph with a standard deviation of 7.8 miles perhour.
Test the claim that the average wind speed in Laramie is lessthan the state average. Provide all six steps to the hypothesistest, using both a critical value AND a p-value to make yourdecision about the null.
Provide the confidence interval estimate of the true wind speedin Laramie.
Explain how your hypothesis test in 8_1 and your confidenceinterval in 8_2 are consistent.

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Let be the mean wind speed in LaramieStep 1Null Hypothesis H020 mphAltenative Hypothesis H0 20 mphStep 2Since we do not know the true population standard deviation wewill conduct one sample t testStep 3Significance level 005Degree of freedom n1 251 24Critical value of t at 005 See Answer

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