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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.)
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.)
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