According to the website , "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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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According to the website
, "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.
↓
पं
-♡
Central probability = 0.50
Ņ
-1
P
O.
t-score = 0.6750
central probability=
degrees of freedom =
2
0.50
50
-♡
3
Transcribed Image Text:According to the website , "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. ↓ पं -♡ Central probability = 0.50 Ņ -1 P O. t-score = 0.6750 central probability= degrees of freedom = 2 0.50 50 -♡ 3
Answer the following question about this study. Use the applet above, if necessary.
Which of the following is an appropriate conclusion we can draw from this confidence interval?
We are 90% confident that the mean number of alcoholic drinks consumed by all students at this college during the previous week is between
3.18 and 4.68.
We are 90% confident that the mean number of alcoholic drinks consumed by all college students in the U.S. during the previous week is
between 3.18 and 4.68.
We are 90% confident that each student at this school consumed between 3.18 and 4.68 alcoholic drinks in the previous week.
We expect 90% of all students on the campus to have consumed between 3.18 and 4.68 alcoholic drinks in the previous week.
Transcribed Image Text:Answer the following question about this study. Use the applet above, if necessary. Which of the following is an appropriate conclusion we can draw from this confidence interval? We are 90% confident that the mean number of alcoholic drinks consumed by all students at this college during the previous week is between 3.18 and 4.68. We are 90% confident that the mean number of alcoholic drinks consumed by all college students in the U.S. during the previous week is between 3.18 and 4.68. We are 90% confident that each student at this school consumed between 3.18 and 4.68 alcoholic drinks in the previous week. We expect 90% of all students on the campus to have consumed between 3.18 and 4.68 alcoholic drinks in the previous week.
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