Question 43Commute times in the U.S. are heavily skewed to the right. We select a random sample of 510people from the 2000 U.S. Census who reported a non-zero commute time.In this sample, the mean commute time is 28.0 minutes with a standard deviation of 19.1 minutes. Can we concludefrom this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5%level of significance.What is the p-value for this hypothesis test?(Your answer should be rounded to 4 decimal places.)

The sample size is 510, the sample mean is 28.0 minutes and sample standard deviation is 19.1…

Answered: Question 43 Commute times in the U.S.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question: A research study claims that the average height of adult men in a certain city is 68 inches. A random sample of 25 men is taken and their average height is found to be 66 inches with a standard deviation of 2 inches. Can we reject the claim at a 0.01 level of significance?
Question 2 According to Nielsen Media Research, children (Group 1-ages 2-11) spend an average of 21.5 hours watching television per week while teens (Group 2-ages 12-17) spend an average of 20.67 hours. Based on the sample statistics obtained below, is there sufficient evidence to conclude a difference in average television watching times between the two groups? Assume that the population variances are not equal. Use α = 0.01. Sample mean Sample variance Sample size Children 22.45 16.4 15 Teens 18.50 18.2 15 Required: Test Value=2.6 Round-off your answer to two decimal places.
QUESTION 17 The amount of time a bank teller spends with each customer has a population mean of 3 minutes and a standard deviation of 0.40 minute. A random sample of 64 customers is selected. There is a 95% chance that the sample mean is less than how many minutes? Round your answer to three decimal places. QUESTION 18 An automotive repair shop has determined that the service time on an automobile is normally distributed with a mean of 100 minutes and a standard deviation of 15 minutes. What is the probability that a random sample of 9 automotive services will have a mean service time greater than 115 minutes? Round your answer to four decimal places. QUESTION 19 Salaries of computer engineers in UAE are strongly right skewed with mean AED 34000 and standard deviation AED 4500. A random sample of 9 computer engineers is taken. What is the probability that the average salary of the sample is more than AED 32000? 0.9088 0.0912 Not enough information 0.1545
QUESTION 21 If commuting times are normally distributed with mean 31.3 minutes and standard deviation 13.2 minutes, what is the z-score (the number of standard deviations away from the mean) of a 28.7 minute commute
If an analysis of variance produces a value of F = 0, then all of the samples have exactly the same mean. Question 10 options: True False
Question 9 of 11 Stacked O Attempt 2 It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 370 minutes and standard deviation 65 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 523 minutes and standard deviation 106 minutes. A researcher records the minutes of activity for an SRS of 6 mildly obese people and an SRS of 6 lean people. James A. Levine et al.., "Inter-individual variation in posture allocation: Possible role in human obesity," Science, 307 (2005), pp. 584-586. What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? Give your answer to four decimal places. 1.8465 probability: 091 436 Ce…
Question 3 Assume the average teenager sends 250 text messages per day. You sample 28 local teenagers and find that they send 232 messages per day with a standard deviation (calculated with the correction) of 64 messages per day. What decision would you make based on these data? Fail to reject the null hypothesis; we cannot conclude that there is any difference between our sample and the nation. Fail to reject the null hypothesis; the local teenagers text more than the national average. Reject the null hypothesis; there is no evidence of a difference between our sample and the nation. Reject the null hypothesis; our sample sends significantly fewer text messages than the national average.
QUESTION 4 In a law office, the average number of billed hours per day was 150 last year. In the first 85 days of this year, the average number of billed hours per day is 158 with a standard deviation of 65 hours. When testing the hypothesis (at the 10% level of signficance) that the average number of billed hours per day has increases, the test statistic is 1.13. What is the p-value (please round your answer to 4 decimal places)
QUESTION 3 A survey of 31 men found that an average amount spent on St. Patrick's day of $104 with a standard deviation of $28. A similar survey of 52 women found they spent an average of $55 with a standard deviation of $12. When testing the hypothesis (at the 5% level of significance) that the variance that men spend more than the variance of what women spend on St. Patrick's day, what is the test statistic? (please round your answer to 2 decimal places)
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