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A ressearcher hypothesized that the pulse rate of long distance athletes differ

ID: 2959200 • Letter: A

Question

A ressearcher hypothesized that the pulse rate of long distance athletes differ from those of other athletes. he believed that the 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 of athletes in the general population is normally distributed with a pulse rate of 60 beats per minute.

a. What statistical test should be used to analyze the date?
b. Is this a one or two tailed test?
c. What are the Ho adn Ha for this study?
d. Find tcv
e. Compute Tobt
f. Should Ho be rejected? What should the researcher conclude?

Explanation / Answer

a. What statistical test should be used to analyze the date?

t test

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b. Is this a one or two tailed test?

One-tailed test

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c. What are the Ho adn Ha for this study?

Ho: >=60
Ha: <60

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d. Find tcv

Given a=0.05, t(0.05, df=9)=-1.83 (check student t table)

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e. Compute Tobt

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

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

=-4.46

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f. Should Ho be rejected? What should the researcher conclude?

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