In: Math
. 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 x̅ |
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)
(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