Question

In: Math

. The average wind speed in Casper, WY, has been found to be 12.7 mph, and...

. The average wind speed in Casper, WY, has been found to be 12.7 mph, and in Phoenix, AZ, it is 6.2 mph. To test the relationship between the averages, the average wind speed was calculated for a sample of 31 days for each city. The results are reported below. (15 pts)

Casper

Phoenix

Sample size    n

31

31

Sample mean   

12.85 mph

7.9 mph

Population standard deviation    σ

3.3 mph

2.8 mph

Is there sufficient evidence at α = 0.05 to conclude that the average wind speed is greater in Casper than in Phoenix? Complete the hypotheses H1, a summary of your answer, and draw the normal curve.

H0: μ1 = μ2                         α = 0.05           C.V. = ________

H1: μ1    μ2 (claim)

Solutions

Expert Solution

(1) Null and alternative Hypothesis:

H0: The average wind speed is not greater in Casper than in Phoenix

H1: The average wind speed is greater in Casper than in Phoenix

i.e.

(5) Conclusion :

Thus we conclude that the average wind speed is greater in Casper than in Phoenix


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