Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter R, Problem 4.48RE
Skin cancer In February 2012, MedPage Today reported that researchers used vemurafenib to treat metastatic melanoma (skin cancer). Out of 152 patients, 53% had a partial or complete response to vemurafenib.
- a) Write a 95% confidence interval for the proportion helped by the treatment, and interpret it in this context.
- b) If researchers subsequently hope to produce an estimate (with 95% confidence) of treatment effectiveness for metastatic melanoma that has a margin of error of only 6%, how many patients should they study?
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According to the website www.collegedrinkingprevention.gov, "About 25 percent of college students report academic consequences of their
drinking including missing class, falling behind, doing poorly on exams or papers, and receiving lower grades overall." A statistics student is
curious about drinking habits of students at his college. He wants to estimate the mean number of alcoholic drinks consumed each week by
students at his college. He plans to use a 90% confidence interval. He surveys a random sample of 71 students. The sample mean is 3.93
alcoholic drinks per week. The sample standard deviation is 3.78 drinks.
Let's do some exploration with technology to see how changes in the confidence level affect the confidence interval. Use the applet below to
answer the following questions.
-♡
Central probability = 0.50
-Ņ
A
t-score = 0.6750
central probability =
degrees of freedom =
N
0.50
50
-♡2₂
3
According to the website www.collegedrinkingprevention.gov, "About 25 percent of college
students report academic consequences of their drinking including missing class, falling
behind, doing poorly on exams or papers, and receiving lower grades overall." A statistics
student is curious about drinking habits of students at his college. He wants to estimate the
mean number of alcoholic drinks consumed each week by students at his college. He plans to
use a 90% confidence interval. He surveys a random sample of 63 students. The sample mean
is 3.7 alcoholic drinks per week. The sample standard deviation is 3.2 drinks.
Construct the 90% confidence interval to estimate the average number of alcoholic drinks
consumed each week by students at this college.
1. The t value is -
2. The standard error has a value of --
3. The margin of error has a value of
4. Construct the 90% confidence interval to estimate the average number of alcoholic drinks consumed each
week by students at this college.
Chapter R Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
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