Reconsider the data from Medicine and Science in Sports and Exercise described i

Question

Reconsider the data from Medicine and Science in

Sports and Exercise described in Exercise 8-30. The sample

size was seven and the sample mean and sample standard

deviation were 315 watts and 16 watts, respectively.

(a) Is there evidence that leg strength exceeds 300 watts at

significance level 0.05? Find the P-value.

(b) Compute the power of the test if the true strength is

305 watts.

(c) What sample size would be required to detect a true mean

of 305 watts if the power of the test should be at least 0.90?

(d) Explain how the question in part (a) could be answered

with a confidence interval.

Explanation / Answer

T = 315 - 300 / ( 16 / SRQT (7) )

T = 2.48

critical value : 1.943

since T > critical value we reject Ho there is evidence that exceeds 300 watts

B)

POWER

P( Z > 305 - 300 / 6.05 )

P( z > 0.83 ) = 0.2033

power = 1 - 0.2033 = 0.7967

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