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- More Information From the Online Dating Survey A survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating (either an online dating site or a dating app on their cell phone). 55- to 64-year-olds The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. If we use this sample to estimate the proportion of all American adults ages 55 to 64 to use online dating, the standard error is 0.016. Find a 99% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating. Round your answers to three decimal places. The 99% confidence interval is i toCustomers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.5, P(B) = 0.1, and P(C) = 0.4. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers customers 2 variance Explain your reasoning. O Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the probability that a customer used a debit card. O Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the number of customers who use a debit card. O Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the number of customers at the gas station. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers 2Probability amd stalistics classwork 1. In a recent year, Consumer Reports rated many tablet computers for overall performance and quality. Based on several variables, they gave cach tablet an overall rating, where higher scores indicate better ratings. The overall ratings of the tablets produced by Apple and Samsung are given below: 87 87 87 87 86 86 86 86 84 84 Apple 84 84 83 83 83 83 81 79 76 73 88 87 87 86 86 86 86 86 84 84 83 83 Samsung 77 76 76 75 75 75 75 75 74 71 62 Parallel boxplots of the data and numerical summarics arc shown below. Min Median Маx IQR 83.45 3.762 73 83 84 86 87 3 Apple Samsung 79.87 6.74 62 75 83 86 88 11 Samsung Overal Rating Compare the overall rating distributions for Apple and Samsung. Manufacturer
- Tips It’s commonly believed that people use tips toreward good service. A researcher for the hospitalityindustry examined tips and ratings of service qualityfrom 2645 dining parties at 21 different restaurants. The correlation between ratings of service and tip percent-ages was 0.11. (M. Lynn and M. McCall, “Gratitude and Gratuity.” Journal of Socio-Economics 29: 203–214)a) Describe the relationship between Quality of Serviceand Tip Size.b) Find and interpret the value of R2 in this context.A research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in Microsoft® Excel® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…A firm wants to know if there is any difference in percentage of sport category watched based on age. The data for consumer preference can be found in the table below. What are the expected frequencies of each consumer entry? TV Viewers: % of Viewers, by Major Sport Category Item Ages 18-34 Ages 35+ eSports 50.6 86.3 Mixed Martial Arts 30 80.7 MLS 27.3 79.7 High School Football n/a 79.4 Minor League Hockey 24.6 78.8 Soccer (non-USA) 23.9 78.7 NBA 23.9 77.5 Running n/a 76.9 Minor League Baseball 21.7 76.7 NHL 20.1 73.9 NFL 20.1 70.5 NASCAR 19.3 n/a MLB 19.1 68.1 Tennis 18.7 68.5 College Basketball 18.2 n/a IndyCar 18 62.7 College Football 17.9 62.5 Golf 11.9 32
- The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.12 Juan 1.68 Haley −2.06 Joel 0.00 Jan −0.68 Linda 1.50 (a) Which of these students scored above the mean? (Select all that apply.) Robert Juan Haley Joel Jan Linda (b) Which of these students scored on the mean? (Select all that apply.) Robert Juan Haley Joel Jan Linda (c) Which of these students scored below the mean? (Select all that apply.) Robert Juan Haley Joel Jan Linda (d) If the mean score was μ = 144 with standard deviation σ = 21, what was the final exam score for each student? (Round your answers to the nearest whole number.) Robert Juan Haley Joel Jan LindaOn-Time Performance by Airlines According to the Bureau of Transportation statistics, on-time performance by the airlines is described as follows: Action % of time On time 70.8 National Aviation System delay 8.2 Aircraft arriving late 9.0 Other (because of weather andother conditions) 12.0 Send data to Excel Records of 200 flights for a major airline company showed that 149 planes were on time; 21 were delayed because of weather, 10 because of a National Aviation System delay, and the rest because of arriving late. At =α0.05, do these results differ from the government's statistics? Part 1 of 5 Identify the claim with the correct hypothesis. H0: On-time performance by airlines is distributed as follows: 70.8%on time, 8.2%National Aviation System delay, 9.0% aircraft arriving late, and 12.0% other. ▼(Choose one) H1 : The distribution is not the same as stated in the null hypothesis. Critical value=…A distribution of scores is positively skewed. Which is the most probable order, from smallest to largest, for the three measures of central tendency? O Mean, median, mode O Mode, median, mean Mean, mode, median O Median, mean, mode
- Multiple Choice Question A study took a random sample of adults and asked them about their bedtime habits. The data showed that people who drank a cup of tea before bedtime were more likely to go to sleep earlier than those who didn't drink tea. What was the independent (explanatory variable) in this study? A. Whether or not the person drank tea B. When the person went to sleep C. The adults D. Bedtime habitsAn educational researcher wishes to know if there is a difference in academic performance for college freshmen that live on campus and those that commute. Data was collected from 229 students. Can we conclude that freshman housing location and academic performance are related? Location Average Below Average Above Average Total On campus 92 48 42 182 Off campus 23 11 13 47 Total 115 59 55 229 Copy Data Step 3 of 8: Find the expected value for the number of students that live off campus and have academic performance that is below average. Round your answer to one decimal place. E Tables E Keypad nswer ow to enter your answer Keyboard Shortcuts Previous Step Answers POff campus and below averageExample 24 : In eight throws of a die 5 or 6 is considered a success. Find the mean number of success and the standard deviation.