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Chapter 8: Q2E (page 458)
What are the treatments for a designed experiment with two factors, one qualitative with two levels (A and B) and one quantitative with five levels (50, 60, 70, 80, and 90)?
There are ten treatments (A,50), (A,60), (A,70), (A,80), (A,90), (B,50), (B,60), (B,70), (B,80), (B,90).
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Find the numerical value of
a.6! b.c. d.e.0!
A random sample of size n = 121 yielded = .88.
a. Is the sample size large enough to use the methods of this section to construct a confidence interval for p? Explain.
b. Construct a 90% confidence interval for p.
c. What assumption is necessary to ensure the validity of this confidence interval?
Angioplasty鈥檚 benefits are challenged. Further, more than 1 million heart cases each time suffer an angioplasty. The benefits of an angioplasty were challenged in a study of cases (2007 Annual Conference of the American. College of Cardiology, New Orleans). All the cases had substantial blockage of the highways but were medically stable. All were treated with drugs similar to aspirin and beta-blockers. Still, half the cases were aimlessly assigned to get an angioplasty, and half were not. After five years, the experimenter planted 211 of the. Cases in the angioplasty group had posterior heart attacks compared with 202 cases in the drug-only group. Do you agree with the study鈥檚 conclusion? 鈥淭here was no significant difference in the rate of heart attacks for the two groups鈥�? Support your answer with a 95-confidence interval.
Assume that . Calculate the pooled estimator for each of the following cases:
a.
b.
c.
d.
Note that the pooled estimate is a weighted average of the sample variances. To which of the variances does the pooled estimate fall nearer in each of the above cases?
Question: Summer weight-loss camp. Camp Jump Start is an 8-week summer camp for overweight and obese adolescents. Counselors develop a weight-management program for each camper that centers on nutrition education and physical activity. To justify the cost of the camp, counselors must provide empirical evidence that the weight-management program is effective. In a study published in Paediatrics (April 2010), the body mass index (BMI) was measured for each of 76 campers both at the start and end of camp. Summary statistics on BMI measurements are shown in the table.
Source: Based on J. Huelsing, N. Kanafani, J. Mao, and N. H. White, "Camp Jump Start: Effects of a Residential Summer Weight-Loss Camp for Older Children and Adolescents," Pediatrics, Vol. 125, No. 4, April 2010 (Table 3).
a. Give the null and alternative hypotheses for determining whether the mean BMI at the end of camp is less than the mean BMI at the start of camp.
b. How should the data be analyzed, as an independent samples test or as a paired difference test? Explain.
c. Calculate the test statistic using the formula for an independent samples test. (Note: This is not how the test should be conducted.)
d. Calculate the test statistic using the formula for a paired difference test.
e. Compare the test statistics, parts c and d. Which test statistic provides more evidence in support of the alternative hypothesis?
f. The p-value of the test, part d, was reported as p 6 .0001. Interpret this result, assuming a = .01.
g. Do the differences in BMI values need to be normally distributed in order for the inference, part f, to be valid? Explain.
h. Find a 99% confidence interval for the true mean change in BMI for Camp Jump Start campers. Interpret the result.
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