Question

(CO 5) A state Department of Transportation claims that the mean wait time for various services...

(CO 5) A state Department of Transportation claims that the mean wait time for various services at its different location is more than 6 minutes. A random sample of 16 services at different locations has a mean wait time of 9.5 minutes and a standard deviation of 7.3 minutes. At α=0.01, can the department’s claim be supported assuming the population is normally distributed? Group of answer choices

No, since p of 0.037 is greater than 0.01, fail to reject the null. Claim is alternative, so is not supported

No, since p of 0.037 is greater than 0.01, reject the null. Claim is null, so is not supported

Yes, since p of 0.037 is greater than 0.01, fail to reject the null. Claim is null, so is supported

Yes, since p of 0.037 is less than 0.07, reject the null. Claim is alternative, so is supported

Math   Statistics-And-Probability   
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Answer #1

First option is correct i.e.

No. P of 0.037 is greater than 0.01, fail to reject null. Claim is alternative. So is not supported.

(since, here the hypothesis to test is :

Null H0 : mean wait time is 6 minutes

V/s

Alternative H1 : mean wait time is more than 6 minites(department's claim)

i.e.

H0 : = 6 v/s > 6, if H0 gets accepted, then it can be said that department's claim is incorrect.

We have decision rule,

If p-value > alpha(confidence coefficient) = 0.01

Then we accept H0.

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