A). A research study measured the pulse rates of 49 college men and found a mean

Question

A). A research study measured the pulse rates of 49 college men and found a mean pulse rate of 70.42 beats per minute with a standard deviation o f 9.9 5 beats per minute. Is there enough evidence from the sample to conclude that the mean pulse rate for all college men is different from the current standard of 72 beats per minute? ( Note: Whenever not given, use = .0 5 )

a) Identify the target parameter & the null and alternate hypotheses. b) Test statistic: c) Rejection Region: d) Decision: e) Conclusion:

B). A brochure inviting subscriptions for a new diet program states that the participants are expected to lose over 10 pounds in five weeks. Suppose that, from the data of the five - w eek weight loss program of 20 participants, the sample mean and sample standard deviation are found to be 1 3 .5 and 5 .2, respectively. Could the statement in the brochure be substantiated based on these findings? Test at = .0 1 level.

a) Identify the target parameter & the null and alternate hypotheses. b) Test statistic: c) Rejection Region: d) Decision: e) Conclusion

Explanation / Answer

a) Hypothesis:

H0 : mu = 72

Ha: mu not equal to 72

b) Test statistic:

x= 70.42 , s = 9.95 , n =49

t = ( x - mean) / (s/ sqrt(n))

= ( 70.42 - 72) / ( 9.95 / sqrt(49))

= -1.12

Now, we need to find p value using t = -1.12 , df = 48

p value = .268287.

c) As p value is greater than 0.05. So, we fail to reject the null hypothesis

d) there is not enough evidence from the sample to conclude that the mean pulse rate for all college men

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