Television advertisers base their investment decisions regarding the promotion of their products and services on demographic information about television viewers
1. Television advertisers base their investment decisions regarding the promotion of their products and services on demographic information about television viewers. The age of the viewers is a key factor in this process. The following table shows the number of hours that a random sample of individuals watched television during the week. The individuals are grouped according to their ages.
a. Perform a one-way ANOVA using a = 0.05 to determine if there is a difference in the average number of hours per week of television viewing by the four age groups. b. If warranted, perform a multiple comparison test to determine which pairs are different using a = 0.05. c. Verify your results with Excel.
2. Budget shortfalls in many states during the 2007–2008 recession placed a strain on education resources. One area that receives much attention from both parents and administrators is the number of students per teacher. Suppose the U.S. Department of Education would like to compare this ratio in kindergartens for schools in California, Delaware, Nevada, and Georgia. The following data show the number of kindergarten students in randomly selected classrooms in these four states.
a. Perform a one-way ANOVA using a = 0.05 to determine if the average number of students in kindergarten classes is different in the four states. b. If warranted, perform a multiple comparison test to determine which pairs are different using a = 0.05. c. Verify your results with Excel.
3. Suppose you are interested in buying a new smart TV and want to find out about differences in prices, sizes, and manufacturers. The following data show the prices of a random sample of televisions for various screen sizes.
a. Using a one-way ANOVA and a = 0.05, test to see if a difference exists in the average prices of the brands. b. Using a randomized block ANOVA and a = 0.05, test to see if a difference exists in the average prices of the brands. c. If warranted, determine which pairs of television brands are different using a = 0.05. d. Verify your results with Excel. e. Explain the differences in the results from parts a and b. 11.46 Mike i
4. According to a recent AAA survey, about 20% of Americans say they’re likely to buy an electric car in the future. Actually, sales of electric cars increased by 25% between 2016 and 2017. To serve U.S. customers, Consumer Research is currently testing the new Nissan Leaf, Tesla Model
3, and Chevy Bolt. I asked some of my colleagues who own electric cars about their satisfaction with them because I am interested in buying one. The following table shows the results of the survey.
a. Perform a one-way ANOVA using a = 0.01 to determine if a difference exists in the average satisfaction rating. b. If appropriate, perform a multiple comparison test to determine which pairs are different using a = 0.01. c. Verify your results using Excel.
5. A survey was conducted to determine by age group the number of registered voters who cast ballots during the recent elections. The following data were recorded:
a. Using a = 0.01, perform a chi-square test to determine if the proportion of voters who cast ballots during the elections differs among the five age groups of voters. b. Determine the p-value using Excel and interpret its meaning. c. How does age appear to relate to the likelihood that a voter will cast a ballot during the elections?
6. Union membership, as a percentage of the working population, varies from country to country. A number of workers from different countries were randomly surveyed and asked whether they belonged to a union. The data from the survey are as follows:
a. Using a = 0.05, perform a chi-square test to determine if the proportion of workers who belong to unions differs among these four countries. b. Determine the p-value using Excel and interpret its meaning.
7. The following table shows the U.S. market share for smartphone manufacturers in 2017 according to the research firm ComScore. The table also shows the frequency of purchases of smartphones by brand for a random sample of customers during 2018.
a. Using a = 0.05, perform a chi-square test to determine if the observed frequencies in the table are consistent with the report. b. Determine the p-value for the chi-square test statistic using Excel and interpret its meaning.
8. A survey conducted by Wakefield Research asked adults what their favorite night to order takeout for dinner was. The results are shown in the following table. Suppose a second survey
takeout for dinner was. The results are shown in the following table. Suppose a second survey was conducted asking restaurants about the actual observed frequencies for each night’s takeout business. Those numbers are reported in the “Observed Frequency” column.
a. Using a = 0.05, perform a chi-square test to determine if the observed frequencies confirm the results obtained by Wakefield Research. b. Determine the p-value using Excel and interpret its meaning.
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