MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Consider a binomial distribution. About 61% of all Salinas residents own a smart phone. Find the mean number of residents own a smart phone when selecting a sample of n = 53 residents.arrow_forwardAn Internet service provider is interested in testing to see if there is a difference in the mean weekly connect time for users who come into the service through a dial-up line, DSL, or cable Internet. To test this, the ISP has selected random samples from each category of user and recorded the connect time during a week period. The following data were collected. Click the icon to view the ISP data. Assuming that the test is to be conducted at a 0.01 level of significance, what would the critical value be for this test? ISP data Dial Up 19.2 17.7 17.2 18.9 26.9 22.6 31.2 DSL 40.6 40 41.5 30.5 46.8 Cable 39.5 42.3 47 45.4 41.1 43.2 39.9 41.9 49.3 Xarrow_forwardWhat proportion of drivers would you expect to fail a driving test in a sample of size 10? Size 20? Size 40? Size 100?arrow_forward
- In each of the following settings, decide whether you should use two-sample z procedures for a difference in proportions, two- sample t procedures for a difference in means, or paired t procedures for a mean difference. (a) A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6:00 a.m. and 10:00 p.m., and he and his assistant count the number of cars passing through each intersection during the 10- minute interval that begins at that time. O Two-sample z test for p1 – P2 O Two-sample t test for µ – H2 Two-sample t test for x1 – x2 Paired t test for µdiff (b) How much greater is the proportion of senior citizens who attend a play at least once per year than the proportion of 20- somethings who do so? Random samples of 100 senior citizens and 100 people in their 20s were surveyed. Two-sample z test for p – P2 O Two-sample t test for x1 X2 O Two-sample t test for p1 – P2 O Two-sample t test for µ – µ2 (c) Luke's taco shop is…arrow_forwardPreviously, an organization reported that teenagers spend 12.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is lower. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 10.4, 10.4, 17.3, 11.2, 10, 15.2, 9.5, 5.8, 12.5, 11.8, 7.3, 10.6, 11.5, 16.2, 16.5, 14.3, 12.3, 9.9, 13.7, 8.6, 11.3, 13, 16.5 Perform a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 12.5 12.5 (So we will be performing a left-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(tv sv p-value = Step 4: Make a Conclusion About the nulI…arrow_forwardDuring the month of January 2017, a total of 29,404 flights took off from a particular airport. Of all these flights, 23.9 % had a departure delay of more than 10 minutes. Suppose we randomly sample just 100 of these flights. Complete parts a through d. a. What sample proportion should we expect to see in such a sample, and how much should we expect the proportion to vary from sample to sample in samples of size 100? The mean is (Round to three decimal places as needed.)arrow_forward
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