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
EBK STATISTICS FOR BUSINESS & ECONOMICS
- Most 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. (Data Source: National Center for Health Statistics.) A counseling psychologist sets out to look at the role of having children in relationship longevity. She decides to measure marital satisfaction in a group of couples with children and a group of childless couples. 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. Assume that these scores are normally distributed. A sample of 39 couples with children scored an average of 51.1 with a sample standard deviation of 9.2 on the Marital Satisfaction…arrow_forwardThe 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_forwardDoes the example represent an observational study or an experiment? Car accident data is obtained from the Ohio database. It is found that more accidents happened at night.arrow_forward
- Businesses 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_forwardThe Columbus Zoo conducts a study to determine whether a household's income can be used to predict the amount of money the household will give to the zoo's annual fund drive. What is the response variable in this study?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
- Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. An article reported that in one investigation, six sites along interstate highways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows. Before: 14 29 62 123 64 62 After: 15 27 41 84 76 71 (a) The article included the statement "A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs." Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] State and test the appropriate hypotheses. (Use a = 0.05.)…arrow_forwardUse 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_forwardA report suggests that business majors spend the least amount of time on course work than other college students (The New York Times, November 17, 2011), A provost of a university conducts a survey of 50 business and 50 nonbusiness students. Students are asked if they study hard, defined as spending at least 20 hours per week on course work. The response shows "yes" if they worked hard or "no" otherwise; a portion of the data is shown in the following table. Business Majors Nonbusiness Majors Yes No No Yes No Yes Yes Yes At the 5% level of significance, determine if the percentage of business majors who study hard is less than 20%? At the 5% level of significance, determine if the percentage of nonbusiness majors who study hard is more than 20%.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL