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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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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
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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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