MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- In statistics, the data we work with is just one part of a bigger picture called the ____. In statistics, the data we work with is just one part of a bigger picture called thearrow_forwardA social media app is conducting a study on the amount of time users spend on the app. They collect the following variables. Age Years: How old they are in years? Income: Monthly Income Location: What country do they live in? Device: Do they use an iPhone, Samsung, other? Service: Who provides their mobile phone service? For example: T-Mobile, At&t, Verizon, ect Hours: How many hours do they spend on the app per week. A) Which variable could the research construct a one proportion z-interval for? B) The social media app just launched a new algorithm that suggest content in an effort to increase the amount of time the user spends on the app. The researchers want to use the survey results to see if there is statistically significant evidence that on average users spend more than 10 hours per week on the social media app. The researchers found in their sample of 44 users, the mean hours spent on the app is 10.5 hours with a standard deviation of 5.675 hours. Which type of hypothesis test…arrow_forwardA television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 37 46 59 83 225 No 213 204 191 167 775 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…arrow_forward
- A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 49 59 61 84 253 No 201 191 189 166 747 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…arrow_forwardfill blanks underlines.arrow_forwardPractice question #3 Investigators want to know if those who work long hours have more trouble sleeping. In one sample of 190 British civil servants who worked more than 40 hours a week, 95 of them said they usually get less than 7 hours of sleep per night. In a second sample of 150 British civil servants who worked between 35 and 40 hours per week, 63 of them said they usually get less than 7 hours of sleep per night. The investigators believe these are represent samples of the populations. Find a 95% Confidence Interval for the difference in proportions of these two populations that get less than 7 hours of sleep per night. Then interpret the confidence interval. Be sure to check that any necessary conditions are met first. Round final answers to 3 decimal places. Verify conditions are appropriate for method: Interval: ________________________ Does the interval contain zero? __________ What does this information lead you to conclude?arrow_forward
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- In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the data set 4, 4, 5, 8, 12. (a) Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median mean (b) Add 3 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.) mode median meanarrow_forwardConsider the following ordered data. 4 7 7 8 9 9 10 11 12 (a) Find the low, Q1, median, Q3, and high.arrow_forwardDoctors at a technology research facility randomly assigned people to use computer keyboards in two rooms. In one room a group of people typed a manuscript using standard keyboards, while in the other room a second group of people typed the same manuscript using ergonomic keyboards to see if those people could type more words per minute. The table shows the resulting data. Standard Ergonomic Words per Words per minute minute 12 43 38 35 21 35 28 69 18 58 45 52 40 36 42 37 52 38 19 47 24 46 63 58arrow_forward
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