STAT 200 FINAL EXAMINATION, SPRING 2017 STAT 200 FINAL EXAMINATION, | Page 7
4. (d) Is there sufficient evidence to support the claim that regular exercise helps
weight loss? Justify your conclusion
17. In a pulse rate research, a simple random sample of 400 men results in a mean of 80 beats
per minute, and a standard deviation of 10.8 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
18. The UMUC Daily News reported that the color distribution for plain M&M’s was: 40% brown,
20% yellow, 20% orange, 10% green, and 10% tan . Each piece of candy in a random sample of
100 plain M&M’s was classified according to color , and the results are listed below. Use a 0.05
significance level to test the claim that the published color distribution is correct. Show all work
and justify your answer
(a) Identify the null hypothesis and the 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. Show all work; writing the correct P-value, without supporting work,
will receive no credit.
(d) Is there sufficient evidence to support the claim that the published color distribution is
correct? Justify your answer