23. 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 lbs.?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Topic Video
Question
23. 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 lbs.?
Transcribed Image Text:23. 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 lbs.?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning