In a pulse rate research, a simple random sample of 100 men results in a mean of
ID: 3173908 • Letter: I
Question
In a pulse rate research, a simple random sample of 100 men results in a mean of 80 beats per minute, and a standard deviation of 11 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standard deviation greater than 10 beats per minutes. Use a 0.05 significance level to test the researcher’s claim.
(a) Identify the null hypothesis and alternative hypothesis.
(b)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(d) Is there sufficient evidence to support the researcher’s claim? Explain.
Explanation / Answer
We use Chi-sq test here to test varaince (1 sample righ-sided)
background: Variance= SD^2
(a) H0: varaince<=100
Ha: variance>100
observed variance= 121
(b) test stat Chi-sq= (n-1) SD^2/Sigma^2
= 99*121/100 = 119.79 with 99 df
(c) p-value= 0.07
excel formula: "=CHISQ.DIST.RT(119.79,99)"
(d) at 5% level, we cant reject H0. So no enough evidenance to support researcher's claim.
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