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
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