O 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. 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 o Wellpoint. O 90 33 41 O 104 82 56 55 50 37 76 46 96 93 73 74 79 92 99 56 82 Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings for a televisit to the doctor as opposed to an office visit (to 2 decimals). 95% confidence interval:S to per visit
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- Dentists are increasingly concerned about the growing trend of local school districts to grant soft drink companies exclusive rights to install soda pop machines in schools in return for money-usually millions-that goes directly into school coffers. According to a recent study by the National Soft Drink Association, 62% of schools nationally already have such contracts. This comes at a time when dentists are seeing an alarming increase in horribly decayed teeth and eroded enamel in the mouths of teenagers and young adults. With ready access to soft drinks, children tend to drink them all day. That, combined with no opportunity to brush, leads to disaster, dentists say. Suppose that 20 schools around the country are randomly selected and asked if they have a soft drink contract. Find the probability that the number of 'Yes" answers is A. exactly 8 B. at most 8 C. at least 4 D. between 4 and 12, inclusiveFor 25 years, Arthur Reynolds and Judy Temple tracked more than 1,400 children who participated in a publicly funded early childhood development program beginning at age 3. They found that children who participated in the program showed higher levels of educational attainment, socioeconomic status, and job skills, as well as lower rates of substance abuse, felony arrest, and incarceration, than those who did not receive school-based early education. One possible theory for the success of this program is that improving school readiness improved the children's success in school. The improved success in school in turn improved their readiness for adulthood, resulting in increased job skills and socioeconomic status as well as lower rates of substance abuse.For 25 years, Arthur Reynolds and Judy Temple tracked more than 1,400 children who participated in a publicly funded early childhood development program beginning at age 3. They found that children who participated in the program showed higher levels of educational attainment, socioeconomic status, and job skills, as well as lower rates of substance abuse, felony arrest, and incarceration, than those who did not receive school-based early education. One possible theory for the success of this program is that improving school readiness improved the children's success in school. The improved success in school in turn improved their readiness for adulthood, resulting in increased job skills and socioeconomic status as well as lower rates of substance abuse. What is the independent and dependent variable?
- The Badrutt’s Palace Hotel St. Moritz which is one of the best Alpine hotels in Switzerland has provided you with their quarterly bookings data over the last 6 years as follows: Year Quarter-1 (Demand in units) Quarter-2 (Demand in units) Quarter-3 (Demand in units) Quarter-4 (Demand in units) 2018 45,000 22,000 64,000 33,000 2019 48,000 27,000 74,000 41,000 2020 52,000 32,000 83,000 46,000 2021 57,000 35,000 94,000 52,000 2022 61,000 42,000 104,000 56,000 2023 67,000 49,000 120,000 61,000 Required: i) Calculate the seasonal indices for each season using multiplicative index ii) Forecast the demand for each season of the year 2024 given that the annual demand forecast is 324,000 units. iii) Deseasonalize the actual demand data (2018-2023) above using the seasonal indices obtained in (a) above. iv) Generate OLS equation using the Deseasonalized data in (iii) above (in thousand units)The sales records of a major auto manufacturer over the past years from 2005 to 2019 are shown below. Number of Cars Sold Year (In thousands of Units) 2005 195 2006 200 2007 250 2008 270 2009 320 2010 380 2011 440 2012 460 2013 500 2014 500 2015 550 2016 570 2017 600 2018 650 2019 700 Develop moving average with k=4 and compute its MSE Develop exponential model with α = 0.4 and compute its MSE Develop a linear trend model and compute its MSE Based on the MSE computed fore ach model , which model fits well to the data Based on the answer of question (4) forecast the number of cars sold for year 2020.A random sample of 20 individuals who graduated from harvard ago were asked to report the total amount of debt they had when they graduated from college and the total value of their current investments. the data set is below: Debt Invested 23719 25664 2327 63658 23846 23405 12262 43385 18480 32649 7823 54587 10857 45145 10085 48262 14813 40983 2299 65308 18154 31977 16650 39308 16699 34346 19120 35813 10809 47704 19566 32805 8679 50647 16647 34555 17952 33647 5454 59726 A) using a regression equation for predicting current investment based on college debt. What is the expected change in current investment for each additional dollar of harvard college debt? i got -1.8668 B) What is the predicted current investment for an individual who had a college debt of $5000? i got 58,629C) What proportion of the variation in current investment is explained by college debt? round to 4 decimal places only C needs to be answered
- A random sample of 20 individuals who graduated from harvard ago were asked to report the total amount of debt they had when they graduated from college and the total value of their current investments. the data set is below: Debt Invested 23719 25664 2327 63658 23846 23405 12262 43385 18480 32649 7823 54587 10857 45145 10085 48262 14813 40983 2299 65308 18154 31977 16650 39308 16699 34346 19120 35813 10809 47704 19566 32805 8679 50647 16647 34555 17952 33647 5454 59726 A) using a regression equation for predicting current investment based on college debt. What is the expected change in current investment for each additional dollar of harvard college debt? B) What is the predicted current investment for an individual who had a college debt of $5000? C) What proportion of the variation in current investment is explained by college debt?According to Deloitte, through January 25,2006, the majority of companies reporting profits had beaten estimates. Now suppose that for the 4th quarter of 2012, 170 of a random sample of 280 companies reported profits that had beaten estimates. Does the data indicate the proportion of companies in the 4th quarter of 2012 that beat estimates is greater than 56% at α=0.05?Give at least three examples from economics where each of the following type of data can be used: cross-sectional data, time series data, and panel data.
- There is some evidence that, in the years 1981-85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320-35,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.87 %, with a standard deviation of 16 %. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a) According to Chebyshev's theorem, at least…the table shows the percent of households with internet access for selected years from 2009 and projected through 2015. Year Percent of households 2009 67 2010 70 2011 72.5 2012 75 2013 76.5 2014 77.2 2015 78 Use the model to predict the percent of households with internet access in 2022.Recent publications have addressed the growing concern in the scientific community around the increased prevalence of CAT scans in children between the ages of 7-18 and the growing rate of childhood cancers. Suppose the researcher plans to gather a SRS from a group of children in this age range who have received one or more CAT scans, and a SRS from a group of children who have never received a CAT scan and compare the number of cases of childhood cancers that develop over a prolonged period of time. Assume the following table summarizes the descriptive statistics for his samples. Population Average cases of childhood cancers Standard deviaton Sample size >CAT scan 24.6 2.4 1,894 No CAT scans 11.4 1.9 2,745 A) Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average cases of childhood cancers in children aged 7-18 receiving one or more CAT scans versus those that have never received a CAT scan. Use an alpha level…