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Question 11 1 points Save Answer A researcher claims that the average wind speed

ID: 3312152 • Letter: Q

Question

Question 11 1 points Save Answer A researcher claims that the average wind speed in a certain city is 9 miles per hour. A sample of 34 days has an average wind speed of 9.1 miles per hour. The standard deviation of the population is 1 mile per hour. At 0.06 significance level, is there enough evidence to reject the claim? Determine the null hypothesis, the p-value, and state your conclusion. A·H, : = 9 , p-value = 0.5598 , Do not eject H0. Thus, there is not enough evidence to reject the claim that the average wind speed in a O B. Hi : * 9 , p-value-0.5638 , Reject HO·Thus, there is enough evidence to reject the clai m that the average wind speed in a certain city O c. Hi : #9 , p-value = 0.5598 , Reject H0. Thus, there is enough evidence to reject the claim that the average wind speed in a certain city certain city is 9 miles per hour is 9 miles per hour is 9 miles per hour certain city is 9 miles per hour alue 0.5638, Do not eject HO. Thus, there is not enough evidence to reject the claim that the average wind speed in a

Explanation / Answer

xbar = 9 , mu = 9.1 , sd = 1 and n = 34 , alpha = 0.06

so we use the formula as

t= ( xbar-mu)/(sd/sqrt(n))

= (9-9.1)/(1/sqrt(34)) = -0.583

The P-Value is .563856 , from the t table for df = n-1 = 34-1 = 33

as the p value is not less than 0.06 , hence we fail to reject null hypothesis

the correct answer is

D

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