In Exercises 5–20, assume that the two samples are independent simple random samples selected from
9. Magnet Treatment of Pain People spend around $5 billion annually for the purchase of magnets used to treat a wide variety of pains. Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results given below are among the results obtained in the study (based on data from “Bipolar Permanent Magnets for the Treatment of Chronic Lower Back Pain: A Pilot Study,” by Collacott, Zimmerman, White, and Rindone, Journal of the American Medical Association, Vol. 283, No. 10). Higher scores correspond to greater pain levels.
a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater
b. Construct the confidence interval appropriate for the hypothesis test in part (a).
c. Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the
Reduction in Pain Level After Magnet Treatment: n = 20,
Reduction in Pain Level After Sham Treatment: n = 20,
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
Essentials of Statistics (6th Edition)
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (6th Edition)
Stats: Modeling the World Nasta Edition Grades 9-12
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
The Practice of Statistics for AP - 4th Edition
Statistical Techniques in Business and Economics
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
- Using the data in Table 6–11, calculate a 3-month moving average forecast for month 12.arrow_forward2.62 For the period 2001–2008, the Bristol-Myers Squibb Company, Inc. reported the following amounts (in billions of dollars) for (1) net sales and (2) advertising and product promotion. The data are also in the file XR02062. Source: Bristol-Myers Squibb Company, Annual Reports, 2005, 2008. Year Net Sales Advertising/Promotion 2001 $16.612 $1.201 2002 16.208 1.143 2003 18.653 1.416 2004 19.380 1.411 2005 19.207 1.476 2006 16.208 1.304 2007 18.193 1.415 2008 20.597 1.550 For these data, construct a line graph that shows both net sales and expenditures for advertising/product promotion over time. Some would suggest that increases in advertising should be accompanied by increases in sales. Does your line graph support this?arrow_forwardsection 4.1 #30 In Exercises 25–30, determine whether the association between the two variables is positive or negative. Weekly ice cream sales and weekly average temperaturearrow_forward
- The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period. [Source: Ogden, C., et al. (2004). Mean body weight, height, and body mass index, United States 1960–2002. Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is greater than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year. Please Formulate the null and alternative hypothesesarrow_forward10 – 11. Margaret, an archeologist, is conducting a test to determine if there is a positive linear relationship between the total height of a dinosaur and its leg length. Her random sample of 15 dinosaur total heights (in feet) and leg lengths (in feet) produced the results shown in the following TI calculator screen. Use the TI calculations in the screen shot to help you answer questions: 10 & 11. LinReg y=a+bx a=28.67845743 b=5.639892354 r=559696513 r=.7481286741 10. What would you predict for a dinosaur's total height (to 2 decimal places) in feet, if the leg length is 5.8 feet? a) 61.39 feet b) 28.68 feet c) 114.99 feet d) 61.33 feet e) 74.81 feet 11. What percent of variation in the dinosaur's total height can be accounted for by the variation in the dinosaur's leg length? a) 28.68% b) 5.64%% c) 55.97% d) 74.81% e) none of thesearrow_forwardIn the period of 2010 – 2020 in the United States 1/3 of patients 55 years old or older had a seasonal flu vaccine. The risk of death for a flu-vaccinated person 55 years or older in the following 10 months is 0.6 deaths per 1,000 flu-vaccinated persons 55 years old or older. The risk of death for a non-vaccinated 55 year old or older person in the same 10 month period is 5 deaths per 1,000. Given these numbers, what is the probability that a person 55 years or older in the United States will survive 10 months into that year's flu season?arrow_forward
- Q. Table provided gives data on gross domestic product (GDP) for the United States for the years 1959–2005. a. Plot the GDP data in current and constant (i.e., 2000) dollars against time. b. Letting Y denote GDP and X time (measured chronologically starting with 1 for 1959, 2 for 1960, through 47 for 2005), see if the following model fits the GDP data: Yt = β1 + β2 Xt + ut Estimate this model for both current and constant-dollar GDP. c. How would you interpret β2? d. If there is a difference between β2 estimated for current-dollar GDP and that estimated for constant-dollar GDP, what explains the difference? e. From your results what can you say about the nature of inflation in the United States over the sample period?arrow_forward(a) For United States, provide data for the variables below over the years 1993 –2007:(i) Net migration rate (per 1,000 population)(ii) Total fertility rate (live births per woman)(iii)Unemployment, general level (Thousands)(iv) Wages(v) Life expectancy at birth for both sexes combined (years)Data can be obtained from the UN database http://data.un.org/Explorer.aspxUsing R-Studio, estimate a regression equation to determine the effect of unemployment,general level, wages and life expectancy at birth for both sexes on the net migration rate.(All codes and regression output should be provided).(i) Write down the regression equation. (ii) Interpret the coefficients and determine which of the individual coefficients in theregression model are statistically significant. In responding, construct and test anyappropriate hypothesis. (iii) Interpret the coefficient of determination.arrow_forwardLarge companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Amanda falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 97 people in my market category who had been interviewed, 16 said they would buy the product, and of the 101 people in Amanda's market category, 31 said they would buy it. Assuming that these data came…arrow_forward
- Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Diane falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 93 people in my market category who had been interviewed, 17 said they would buy the product, and of the 113 people in Diane's market category, 34 said they would buy it. Assuming that these data came…arrow_forwardQ1. The table provided gives data on indexes of output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy for 1960–2005. The base year of the indexes is 1992 = 100 and the indexes are seasonally adjusted. a. Plot Y against X for the two sectors separately. b. What is the economic theory behind the relationship between the two variables? Does the scattergram support the theory? c. Estimate the OLS regression of Y on X. Note: on the table ( 1. Output refers to real gross domestic product in the sector. 2. Wages and salaries of employees plus employers’ contributions for social insurance and private benefit plans. 3. Hourly compensation divided by the consumer price index for all urban consumers for recent quarters.) Thank you!arrow_forwardPeoples of the Democratic Republic of the Congo In spite of the devastation of the Great African War (1995 – 2007, analyzed in learning activity four of this unit) that caused the death of an estimated seven million Congolese, the DRC remains the fourth most populated country in Africa with a population of 79.4 million (2015), following Nigeria, Ethiopia and Egypt. The DRC’s population is currently growing at 2.7 percent annually. Not unlike most African countries, the population of the DRC is heavily skewed to youth: 44% of the national population is under 24 years of age! Compare this to 32% of the population for the same age group in the U.S. and 24% in Japan. This demographic reality makes great demands on the government and economy of the DRC in terms of providing schooling (and other social services) and opportunities for employment in an economy decimated by war, mismanagement, and the on-going legacy of the exploitation of the DRC’s natural resources by international…arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman