2. Many people have heard of the "Freshmen 20," referring to the belief that many college freshmen will gain 20 lbs. their freshmen year in school. Administrators were interested in knowing if this is really true. A random sample of thirty freshmen (at the end of their freshmen year) was obtained. The average amount of weight gained by the freshmen is listed below. 21.8 20.6 21 20.2 19.2 17.8 22.8 20.2 22 19.4 18.6 18.2 20 19 21 23 19.6 19 24.6 19.6 17.8 20.6 20.8 17.2 22.4 19.2 23.4 18.2 20.6 21.4 a. Find a 97.5% confidence interval for the average amount of weight gained for freshmen. b. Interpret the CI. c. Using your CI found in part a, can you conclude with 97.5% confidence that college freshmen gained more than 20 Ibs.?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. Many people have heard of the "Freshmen 20," referring to the belief that many college freshmen
will gain 20 lbs. their freshmen year in school. Administrators were interested in knowing if this is
really true. A random sample of thirty freshmen (at the end of their freshmen year) was obtained.
The average amount of weight gained by the freshmen is listed below.
21.8 20.6 21
20.2
19.2
17.8 22.8 20.2
22
19.4
18.6 18.2 20
19 21 23
19.6 19
24.6
19.6
17.8 20.6 20.8 17.2 22.4
19.2 23.4 18.2 20.6
21.4
a. Find a 97.5% confidence interval for the average amount of weight gained for freshmen.
b. Interpret the CI.
c. Using your CI found in part a, can you conclude with 97.5% confidence that college freshmen
gained more than 20 Ibs.?
Transcribed Image Text:2. Many people have heard of the "Freshmen 20," referring to the belief that many college freshmen will gain 20 lbs. their freshmen year in school. Administrators were interested in knowing if this is really true. A random sample of thirty freshmen (at the end of their freshmen year) was obtained. The average amount of weight gained by the freshmen is listed below. 21.8 20.6 21 20.2 19.2 17.8 22.8 20.2 22 19.4 18.6 18.2 20 19 21 23 19.6 19 24.6 19.6 17.8 20.6 20.8 17.2 22.4 19.2 23.4 18.2 20.6 21.4 a. Find a 97.5% confidence interval for the average amount of weight gained for freshmen. b. Interpret the CI. c. Using your CI found in part a, can you conclude with 97.5% confidence that college freshmen gained more than 20 Ibs.?
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