Health insurers are beginning to offer telemedicine services online that replace the common office visit. Wellpoint provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments (Bloomberg Businessweek, March 4–9, 2014). Wellpoint claims that users of its LiveHealth Online service saved a significant amount of money on a typical visit. The data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by Wellpoint.
92 | 34 | 40 |
105 | 83 | 55 |
56 | 49 | 40 |
76 | 48 | 96 |
93 | 74 | 73 |
78 | 93 | 100 |
53 | 82 |
Assuming the population is roughly symmetric, construct a 95% confidence interval for the
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Chapter 8 Solutions
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- The increasing popularity of online shopping has many consumers using Internet access at work to browse and shop online. In fact, the Monday after Thanksgiving has been nicknamed “Cyber Monday” because of the large increase in online purchases that occurs on that day. Data from a large-scale survey by a market research firm (Detroit Free Press, November 26, 2005) was used to compute estimates of the percent of men and women who shop online while at work. The resulting estimates probably won’t make most employers happy—42% of the men and 32% of the women in the sample were shopping online at work! Are the estimates given computed using data from a sample or for the entire population?arrow_forwardBusinesses such as General Mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the Internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (either paper or electronic). The sample of 24 traditional paper-coupon clippers had a mean age of 41.2 with a standard deviation of 4.8. The sample of 35 e-coupon users had a mean age of 32.5 years with a standard deviation of 11.2. Assume the population standard deviations are not the same. Using a significance level of 0.05, test the hypothesis of no difference in the mean ages of the two groups of coupon clients. Hint: For the calculations, assume e-coupon as the first sample. a. What are the null and alternate hypotheses? O Ho: He-coupon = Htraditional Hi Me-coupon # Mtraditional %3D O Ho: He-coupon + Htraditional Hhi He-coupon =…arrow_forwardBusinesses such as general mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (either paper of electronic). The sample of 24 traditional paper-coupon clippers had a mean age of 62.0 with a standard deviation of 20.0. The sample of 35 e-coupon users had a mean age of 41.8 years with a standard deviation of 4.8. Assume the population standard deviations are not the same. Using a significance level of .02, test the hypothesis of no difference in mean ages of two groups of coupon clients. a. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) b. Compute the p-value. Note: P-value calculators are available through online search. (Round your answer to 4…arrow_forward
- Use the following information to answer the question. Many couples believe that it is getting too expensive to host an "average" wedding in the United States. According to the website www.costofwedding.com,theaveragecostofaweddingintheU.S.in 2009 was $24,066. Recently, in a random sample of 40 weddings in the U.S. it was found that the average cost of a wedding was $23,224, with a standard deviation of $2,903. On the basis of this, a 9 5% confidence interval for the mean cost of weddings in the U.S. is $22,296 to $24,152. Does the confidence interval provide evidence that the mean cost of a wedding has decreased? Explain your reasoning.arrow_forwardMost engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. Suppose a social psychologist sets out to look at the role of sexual orientation in relationship longevity. He decides to measure marital satisfaction in a group of homosexual couples and a group of heterosexual couples. He chooses the Marital Satisfaction Inventory, because it refers to “partner” and “relationship” rather than “spouse” and “marriage,” which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction. There is one score per couple. Assume that these scores are normally distributed and that the variances of the scores are the same among homosexual couples as among heterosexual couples. The psychologist thinks that homosexual couples…arrow_forwardIs it possible to predict the annual number of business bankruptcies by the number of firm births (business starts) in the United States? The following data published by the U.S. Small Business Administration, Office of Advocacy, are pairs of the number of business bankruptcies (1,000s) and the number of firm births (10,000s) for a six-year period. Business Bankruptcies (1,000) 34.3 Firm Births (10,000) 58.1 35.0 55.4 38.5 57.0 40.1 58.5 35.5 57.4 37.9 58.0 i) Based on the output given, use these data to develop the equation of the regression model to predict the number of business bankruptcies by the number of firm births. ii) Explain the values of r and r. iii) Predict the number of business bankruptcies if the number of firm births is 54.0 (10,000s). iv) Do the data support the existence of a linear relationship between the number of firm births and the number of business bankruptcies? Test using a = 0.05. OUTPUT Model Summary Std. Error of the Estimate Adusted R Model R R Square…arrow_forward
- In the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts form social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 3 6 7 4 6 6 3 5 5 5 5 6 4 6 6 5 5 6 (a) Use α = 0.05 to test for significant differences in perception among the three groups. State the null and alternative hypotheses. H0: μMM = μMR = μAHa: μMM ≠ μMR ≠ μAH0: Not all the population means are equal.Ha: μMM = μMR = μA…arrow_forwardMost engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. Suppose a clinical psychologist sets out to look at the role of economic hardship in relationship longevity. She decides to measure marital satisfaction in a group of couples living above the poverty level and a group of couples living below the poverty level. She chooses the Marital Satisfaction Inventory, because it refers to “partner” and “relationship” rather than “spouse” and “marriage,” which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction. There is one score per couple. Assume that these scores are normally distributed and that the variances of the scores are the same among couples living above the poverty level as among couples…arrow_forwardIn the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 4 6 5 5 6 6 5 7 5 3 6 4 3 7 5 4 7 5 (a) Use ? = 0.05 to test for significant differences in perception among the three groups. State the null and alternative hypotheses. H0: ?MM = ?MR = ?AHa: Not all the population means are equal. H0: ?MM = ?MR = ?A Ha: ?MM ≠ ?MR ≠ ?A…arrow_forward
- In the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 5 4 6 6 5 6 6 5 6 4 4 5 5 5 7 4 4 6 At the ? = 0.05 level of significance, we can conclude that there are differences in the perceptions for marketing managers, marketing research specialists, and advertising specialists. Use the procedures in Section 13.3 to…arrow_forwardIn the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research 5 6 5 6 4 4 = ○ H₂: HMM HMR = HA H₂: HMM # HMR #HA | Ⓒ H₂³ Hmm = HMR = HA 5 5 5 O H₂: HMM# HMR #HA H₂HMM = HMR = HA 4 Find the value of the test statistic. 7.0 4 OH: Not all the population means are equal. H₂: HMM HMR HA 4 H₂: Not all the population means are equal. (a) Use a = 0.05 to test for…arrow_forwardIn the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 5 4 6 6 5 6 6 5 6 4 4 5 5 5 7 4 4 6 #1) Use ? = 0.05 to test for significant differences in perception among the three groups.State the null and alternative hypotheses A) H0: Not all the population means are equal.Ha: ?MM = ?MR = ?A B) H0: ?MM = ?MR = ?AHa: ?MM ≠ ?MR ≠…arrow_forward
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