Question

According to NCSA, (Next College Student Athlete) the mean vertical jumping height for outside hitters on Division 1 (D1) college female volleyball teams is 19.9 inches. A sports science researcher at a D1 school believes this is too low. From a simple random sample of 50 D1 outside hitters the reseacher calculated a mean vertical jumping height of 20.8 inches. Assuming the population standard deviation is 0.7 inches, answer the following questions.

(a) State the null and alternative hypotheses as mathematical statements.

(b) Calculate the test statistic.

(c) At the α = 0.1 level of significance is there sufficient evidence to support the researchers claim? Why or why not?

Answer 1

Solution-A;

Ho:

Ha:

(b) Calculate the test statistic.

z=xbar-mu/sigma/sqrt(n)

xbar-sample mean=20.8

sigma=0.7

n=50

mu=19.9

z=(20.8-19.9)/(0.7/sqrt(50))

z= 9.091373

(c) At the α = 0.1 level of significance is there sufficient evidence to support the researchers claim? Why or why not

p value in excel

=NORM.S.DIST(9.091373,TRUE)

=1

p>alpha

Do not reject Ho

Accept Ho

There is no sufficient statistical evidence at 10% level of significance to support the researchers claim

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