Explanation Calculation: Given conclusion is that “mean time male students at university spend using a computer is greater than the mean time for female students”. For 46 males, the mean and standard deviation are 45.8, and 63.3 respectively. For 38 females, the mean and standard deviation are 39.4, and 57.3 respectively. The assumption for the two-sample t-test: The random samples should be collected independently. The sample sizes should be large. That is, each sample size is at least 30. The assumptions in this particular problem: Data are collected independently. The sample sizes are large enough. Here, there are 46 male and 38 female students are randomly selected for the study. Both sample sizes are greater than 30. Therefore, the assumptions are satisfied. Let μ 1 be the mean time spent using a computer, for males. Let μ 2 be the mean time spent using a computer, for females. Hypotheses: Null hypothesis: H 0 : μ 1 − μ 2 = 0 That is, the mean time spent using a computer is same for both males and females. Alternative hypothesis: H a : μ 1 − μ 2 > 0 That is, mean time spent using a computer differs for males and females. Test statistic and P-value: Software procedure: Step by step procedure to obtain the P -value and test statistic by using MINITAB software is as follows: Choose Stat > Basic Statistics > 2 sample t

Introduction To Statistics And Data Analysis

6th Edition

ISBN: 9781337793612

Author: PECK, Roxy.

Publisher: Cengage Learning,

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Question

Chapter 11.1, Problem 11E

To determine

Check whether there is convincing evidence that the mean time male students at university spend using a computer is greater than the mean time for female students or not .

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Chapter 11 Solutions

Introduction To Statistics And Data Analysis

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?

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