3. A State Highway Patrol periodically samples vehicles at various locations on a particular highway to test the hypothesis that the average speed exceeds the set limit of 70 mph. These locations are the best locations for radar patrol cars to catch speeders. At a particular location, a random sample of 30 vehicles shows a mean driving speed of 73.2 mph with a standard deviation of 8.1 mph. Is this location a candidate for radar patrol? Test using a 5% significance level. [15 points] D. Sketch and label the distribution of the test statistic. Shade the distribution to show the p- value AND calculate the p-value. E. What is the decision at the 5% level? Are the results significant? F. State your conclusion using a well written sentence.

3. A State Highway Patrol periodically samples vehicles at various locations on a particular highway to test the hypothesis that the average speed exceeds the set limit of 70 mph. These locations are the best locations for radar patrol cars to catch speeders. At a particular location, a random sample of 30 vehicles shows a mean driving speed of 73.2 mph with a standard deviation of 8.1 mph. Is this location a candidate for radar patrol? Test using a 5% significance level. [15 points] D. Sketch and label the distribution of the test statistic. Shade the distribution to show the p- value AND calculate the p-value. E. What is the decision at the 5% level? Are the results significant? F. State your conclusion using a well written sentence.

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Description: 3. A State Highway Patrol periodically samples vehicles at various locations on a particularhighway to test the hypothesis that the average speed exceeds the set limit of 70 mph. Theselocations are the best locations for radar patrol cars to catch 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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3) Please answer all parts of the question correctly.
A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The conditions for inference are met. The test statistic is t = –2.74 and the P-value is between 0.005 and 0.01. What conclusion should be made at the significance level, ? Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds. Reject H0. There…
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According to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.
12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use anestimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs.of baggage). According to your textbook, assume that men (not carrying baggage) have weightsthat are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs.a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-onbaggage, find the probability that the total weight is greater than 195 lbs.b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage fromthe top 80%?
1) Is the test significant? A. Unable to determine B. No, p = .448 C. Yes, p = <. 001 D. Yes, p = .448 2) In order to determine where the main mean differences lie, the researcher would also need to conduct a ____? A. Correlation B. MANOVA C. post-hoc analysis D. t-test
1. According to the records of an auto insurance company, the average distance that their customers drive to work is 17.4 miles. You are a new agent, and you think this is too low. You do a random polling of 50 of the company's customers, and you find that the average is 18.5 miles with a standard deviation of 3.4 miles. Do these data provide enough evidence at the 0.05 level of significance to conclude that the average distance driven to work is actually more than 17.4 miles? A. State the null and alternative hypotheses B. State the p-value. C. What is your conclusion about the null hypothesis? D. What is your conclusion in context of this problem?
When students use the bus from their dorms, they have an average commute time of 8.263 minutes with standard deviation 2.9321 minutes. Approximately 75.67% of students reported a commute time greater than how many minutes? Assume the distribution is approximately normal. Question 10 options: 1) 6.22 2) 2.28 3) 14.24 4) 10.3 5) We do not have enough information to calculate the value.
A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.
Assume a media agency reports that it takes television streaming service subscribers in the U.S. an average of 6.60 days to watch the entire first season of a television series, with a standard deviation of 4.21 days. Scarlett is an analyst for an online television and movie streaming service company that targets to the 18-50 age bracket. She wants to determine if her company's customers exhibit shorter viewing rates for their series offerings. Scarlett plans to conduct a one-sample ?-z-test, with significance level of ?=0.05α=0.05, to test the null hypothesis, ?0:?=6.60 daysH0:μ=6.60 days, against the alternative hypothesis, ?1:?<6.60 days.H1:μ<6.60 days. The variable ?μ is the mean amount of time, in days, that it takes for customers to watch the first season of a television series. Scarlett selects a simple random sample of 740 customers who watched the first season of a television series from the company database of over 25,000 customers that qualified. She compiles the…