A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 17 new rackets at 59 PSI. Upon receiving the rackets, the customer measured the tension of each and calculated the following summary statistics: sample mean = 56, standard deviation = 2.4 PSI. in order to conduct the test the customer selected a significance level of a = .05. Interpret this value.

A. The probability of concluding that the true mean is less than 59 psi when in fact it is equal to 59 psi is only .05.

B. The probability of concluding that the true mean is less than 59 psi when in fact it is equal to 59 psi is only .05.

C. The smallest value of ? that you can use and still reject H0 is 0 .05.

D. There is a 5% chance that the sample will be biased

Given that a local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 17 new rackets at 59 PSI. Upon receiving the rackets, the customer measured the tension of each and calculated the following summary statistics: sample mean = 56, standard deviation = 2.4 PSI.

Whenever we select alpha as 5% = 0.05 this means that whenever p value got from hypothesis test is less than this we reject null hypothesis. Otherwise we accept null hypothesis

C. The smallest value of p value that you can use and still reject H0 is 0 .05.

AFOKE88 AFOKE88 · Answer 2 · 2022-04-19T12:24:01+02:00

Interpretation of the value is; B: The probability of concluding that the true mean is less than 59 psi when in fact it is equal to 59 psi is only .05

How to solve hypothesis with significance value?

We are given;

sample mean; x' = 56

standard deviation; s = 2.4 PSI

Population mean = 59 PSI

Now, when we use a significance level of α = 5% = 0.05, it means that if the p value gotten from the hypothesis test is lesser than it, then we reject the null hypothesis but if greater than it, we fail to reject the null hypothesis.

Thus, we can conclude that the right answer to this interpretation is The probability of concluding that the true mean is less than 59 psi when in fact it is equal to 59 psi is only .05.

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