Below is the summary table of the duration of long-distance calls repoP 15.2 minutes Population mean 5% Percentage of calls last shorter than 10 minutes 45% Percentage of calls last shorter than 15 minutes 75% Percentage of calls last shorter than 20 minutes 85% Percentage of calls last shorter than 25 minutes Recently, a telecommunication company has done a survey. Below is the duration (in minutes) of long- distance calls of a random sample of 35 calls: 8.8, 8.9, 10.8, 11.3, 12.9, 13.3, 15.8, 16.1, 16.7, 17.4, 17.8, 18.5, 19.8, 21.2, 21.3, 21.3, 21.5, 21.6, 22.1, 22.8, 23.9, 23.9, 23.9, 23.9, 24.7, 24.9, 25.6, 26.7, 26.9, 27.1, 27.9, 28.6, 29.7, 33.8, 39.2 (a) Find the sample mean, sample standard deviation, median, and mode of the above data. (b) Construct a 95% confidence interval estimate of the population mean duration of long-distance calls in 2021. (c) Is there sufficient evidence to conclude that the population proportion of long-distance calls last longer than 25 minutes in 2021 is higher than that in 2000? Test, at 5% level of significance. (The test report must include (i) null hypothesis and alternative hypothesis, (ii) rejection region, (iii) calculation of test statistics, and (iv) conclusion.)
Below is the summary table of the duration of long-distance calls repoP 15.2 minutes Population mean 5% Percentage of calls last shorter than 10 minutes 45% Percentage of calls last shorter than 15 minutes 75% Percentage of calls last shorter than 20 minutes 85% Percentage of calls last shorter than 25 minutes Recently, a telecommunication company has done a survey. Below is the duration (in minutes) of long- distance calls of a random sample of 35 calls: 8.8, 8.9, 10.8, 11.3, 12.9, 13.3, 15.8, 16.1, 16.7, 17.4, 17.8, 18.5, 19.8, 21.2, 21.3, 21.3, 21.5, 21.6, 22.1, 22.8, 23.9, 23.9, 23.9, 23.9, 24.7, 24.9, 25.6, 26.7, 26.9, 27.1, 27.9, 28.6, 29.7, 33.8, 39.2 (a) Find the sample mean, sample standard deviation, median, and mode of the above data. (b) Construct a 95% confidence interval estimate of the population mean duration of long-distance calls in 2021. (c) Is there sufficient evidence to conclude that the population proportion of long-distance calls last longer than 25 minutes in 2021 is higher than that in 2000? Test, at 5% level of significance. (The test report must include (i) null hypothesis and alternative hypothesis, (ii) rejection region, (iii) calculation of test statistics, and (iv) conclusion.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Below is the summary table of the duration of long-distance calls reported in 2000 of a city:
15.2 minutes
Population mean
5%
Percentage of calls last shorter than 10 minutes
45%
Percentage of calls last shorter than 15 minutes
75%
Percentage of calls last shorter than 20 minutes
85%
Percentage of calls last shorter than 25 minutes
Recently, a telecommunication company has done a survey. Below is the duration (in minutes) of long-
distance calls of a random sample of 35 calls:
8.8,
8.9,
10.8,
11.3,
12.9,
13.3,
15.8,
16.1,
16.7,
17
17.8,
18.5,
19.8,
21.2,
21.3,
21.3,
21.5,
21.6,
22.1,
22.8,
23.9,
23.9,
23.9,
23.9,
24.7,
24.9,
25.6,
26.7,
26.9,
27.1,
27.9,
28.6,
29.7,
33.8,
39.2
(a) Find the sample mean, sample standard deviation, median, and mode of the above data.
(b) Construct a 95% confidence interval estimate of the population mean duration of long-distance calls in
2021.
(c) Is there sufficient evidence to conclude that the population proportion of long-distance calls last longer
than 25 minutes in 2021 is higher than that in 2000? Test, at 5% level of significance. (The test report
must include (i) null hypothesis and alternative hypothesis, (ii) rejection region, (ii) calculation of test
statistics, and (iv) conclusion.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman