1.A sample of eight adults was taken, and these adults were asked about the time they spend per week on sport activities. Their responses (in hours) are as follows: 45; 12; 31; 16; 28; 14; 18; 26 Make a 95 % confidence interval for the mean of time spent per week by all adults on sport activities.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
1.A sample of eight adults was taken, and these adults were asked about the time they spend
per week on sport activities. Their responses (in hours) are as follows:
45; 12; 31; 16; 28; 14; 18; 26
Make a 95 % confidence interval for the mean of time spent per week by all adults on
sport activities.
2. Let sample proportion . How large a sample should be taken to be 95 % sure that the
error of estimation does not exceed 0.02 when estimating a proportion?
3. A business consultant wanted to investigate if providing day care facilities on premises
by companies reduces the absentee rate of working mothers from companies that provide
day care facilities on premises. Sample of 50 mothers selected from the companies that
provide day care facilities was taken. These mothers missed an average of 6.4 days from
work last year with a standard deviation of 1.20 days. Another sample of 50 such mothers
taken from companies that do not provide day care facilities on premises showed that these
mothers missed an average of 9.3 days last year with a standard deviation of 1.83 days.
Construct a 98 % confidence interval for the difference between the two population means.
4. Assume that 66 % of single women and 81.9 % of single men own cars. Also assume
that these estimates are based on random samples of 1640 single women and 1800 single
men. Develop a 99 % confidence interval for the difference between the two population
proportions.
Transcribed Image Text:1.A sample of eight adults was taken, and these adults were asked about the time they spend per week on sport activities. Their responses (in hours) are as follows: 45; 12; 31; 16; 28; 14; 18; 26 Make a 95 % confidence interval for the mean of time spent per week by all adults on sport activities. 2. Let sample proportion . How large a sample should be taken to be 95 % sure that the error of estimation does not exceed 0.02 when estimating a proportion? 3. A business consultant wanted to investigate if providing day care facilities on premises by companies reduces the absentee rate of working mothers from companies that provide day care facilities on premises. Sample of 50 mothers selected from the companies that provide day care facilities was taken. These mothers missed an average of 6.4 days from work last year with a standard deviation of 1.20 days. Another sample of 50 such mothers taken from companies that do not provide day care facilities on premises showed that these mothers missed an average of 9.3 days last year with a standard deviation of 1.83 days. Construct a 98 % confidence interval for the difference between the two population means. 4. Assume that 66 % of single women and 81.9 % of single men own cars. Also assume that these estimates are based on random samples of 1640 single women and 1800 single men. Develop a 99 % confidence interval for the difference between the two population proportions.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman