HW 3&4
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Homework3.docxMGT 3310 Homework 3 Summer I 2022
Chapter 10
1. During the 2003 season, Major League Baseball took steps to speed up the play of baseball games in order to maintain fan interest (CNN Headline News, September 30, 2003). The following results come from a sample of 60 games played during the summer of 2002 and a sample of 50 games played during the summer of 2003. The sample mean shows the mean duration of the games included in each sample.
2002 Season 2003 Season
= 2 hours, 52 minutes = 2 hours, 46 minutes
a. A research hypothesis was that the steps taken during the 2003 season would reduce the population mean duration of baseball games. Formulate the null and alternative hypotheses.
b. What is the point estimate of the reduction in the mean duration of games during the 2003 season?
c. Historical data indicate a population standard deviation of 12 minutes is a reasonable assumption for both years. Conduct the hypothesis test and report the p-value. At a .05 level of significance, what is your conclusion?
d. Provide a 95% confidence interval estimate of the reduction in the mean duration of games during the 2003 season.
2. The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types if remodeling projects are as follows.
Kitchen Master Bedroom
25.2 18.0
17.4 22.9
22.8 26.4
21.9 24.8
19.7 26.9
23.0 17.8
19.7 24.6
16.9 21.0
21.8
23.6
a. Compute the sample mean and sample standard deviation for each type of project.
b. Develop a point estimate of the difference between the population mean remodeling costs for the two types of projects.
c. Develop a 90% confidence interval for the difference between the two population means.
3. In recent years, a growing array of entertainment options competes for consumer time. By 2004, cable television and radio surpassed broadcast television, recorded music, and the daily newspaper to become the two entertainment media with the greatest usage (The Wall Street Journal, January 26, 2004). Researchers used a sample of 15 individuals and collected data on the hours per week spent watching cable television and hours per week spent listening to the radio.
Individual Television Radio
1 22 25
2 8 10
3 25 29
4 22 19
5 12 13
6 26 28
7 22 23
8 19 21
9 21 21
10 23 23
11 14 15
12 14 18
13 14 17
14 16 15
15 24 23
a. Use a .05 level of significance and test for a difference between the population mean usage for cable television and radio. What is the p-value? (You must state H0 and Ha, and compute the test statistic.)
b. Provide a 95% confidence interval estimate of the difference between the population mean usage for cable television and radio.
Note: Homework solution must be submitted electronically to Homework 3 folder in “Assignments” on D2L.
It is your choice to submit all of your work or just the final answer only. If you only submit the final answer and the answer is wrong, you will lose all the points assigned to that question. If you also show the steps how you get that answer, you still can earn partial credit as long as the steps are not completely wrong.
