The average gasoline price of one of the major oil companies has been $2.20 per gallon. Because of cost reduction measures, it is believed thatthere has been a significant reduction in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gasstations and determined that the average price for the stations in the sample was $2.14. Assume that the standard deviation of the population ( o)is $0.12.State the null and the alternative hypotheses.Compute the test statistic.What is the p-value associated with the above sample results?d.a.С.Using a= .05, will you reject, or fail to reject the null?

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Answered: The average gasoline price of one of…

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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A certain grade egg must weigh at least 2.0 Oz. If the weights of eggs are normally distributed with a mean of 1.5oz. And a standard deviation of 0.4oz, approximately how many eggs would you expect to weigh more than 2oz?
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 74 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a D is nothing. (Round up to the nearest integer as needed.)
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $215. Assume the population standard deviation is $19. The mean repair cost of 22 Model B washing machines is $221. Assume the population standard deviation is $20. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed.
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Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 73 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. Click here to view Page 1 of the Standard Normal Table. Click here to view Page 2 of the Standard Normal Table. The lowest score that would qualify a student for an A is (Round up to the nearest integer as needed.)
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2. The average gasoline price of one of the major oil companies has been $1.00 per gallon. Because of shortages in production of crude oil, it is believed that there has been a significant increase in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $1.04. Assume that the standard deviation of the population (o) is $0.12. a) State the null and the alternative hypotheses for testing the belief. b) Describe a Type I error and a Type II error for this situation. c) What is the critical value at a = .05? d) what's your What is the t-statistic or z-statistic associated with the above sample results?
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 24 Model A washing machines is $209. Assume the population standard deviation is $20. The mean repair cost of 27 Model B washing machines is $215. Assume the population standard deviation is $24. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state H0 and Ha. What is the claim? A. The mean repair costs for Model A and Model B are equal. B. The mean repair cost for Model A is greater than Model B. C. The mean repair costs for Model A and Model B are different. D. The mean repair cost for Model A is less than Model B. Let μ1 be the mean repair cost for Model A and let μ2 be the mean repair cost for Model B.…

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