I am working on a web-calculator exercise and am lost. My problem and questions

Question

I am working on a web-calculator exercise and am lost. My problem and questions read as follows:

A researcher hypothesized that the pulse rates of long distance athletes differ from those of other atheletes. He believed that runners' pulses would be slower. He obtained a random sample of 10 long-distance runners, He measured their resting pulses. Their pulses were 45, 45, 64, 50, 58, 49, 47, 55, 50, 52 beats per minute. The average resting pulse rates of atheletes in the general population is normally distributed with a pulse rate of 60 beats per minute.

a. Which statistical test should be used to analyze the data?
b. Is this a one or two tailed test?
c. What are H0 and Ha for this study?
d. find tcv from appendix A in Jackson text.
e. Compute t obt
f. Should Ho be rejected?

Explanation / Answer

Given n=10, xbar=51.5, s= 6.02

a. Which statistical test should be used to analyze the data?

hypothesis test

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b. Is this a one or two tailed test?

two tailed test

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c. What are H0 and Ha for this study?

Ho:=60
Ha: not equl to 60

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d. find tcv from appendix A in Jackson text.

If a=0.1, t(0.05, df=n-1=9) =-1.83 (check student t table)

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e. Compute t obt

t=(xbar - )/(s/n)

=(51.5-60)/(6.02/sqrt(10))

= -4.46

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f. Should Ho be rejected?

Since t= -4.46 < -1.83, we reject Ho.

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