An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers,The company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles perhour with a standard deviation of 2.2 miles per hour. Another sample of 18 cars driven by women on the same highwaygave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. Assume that the speeds at whichall men and all women drive cars on this highway are both normally distributed with the same population standarddeviation. Suppose you must test the hypothesis at 1% level of significance whether the mean speed of cars driven by allmen drivers on this highway is greater than that of cars driven by all women drivers.The sample pooled variance will be:O a) 5.439O b) 5.501O c) 4.439O d) 6.345

Answered: Image /qna-images/answer/849d1049-6198-485f-8ce8-955e0421981a.jpg

Answered: An insurance company wants to know if…

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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Assume that a data for pulse rates of 50 participants is ollected. The mean pulse rate has the mean of 70.2 beats per minute while the standart deviation of the pulse rates arises to be 12.2 per minute. Please answer whether 49 beats per minute belonging to one participant is significantly low or high? Explain briefly.
The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffalo residents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation of the population (Boston residents) is 8.2 miles a day. Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston Residents Ho : 1 – H2 = 0 H : H1 - 42 0 At alpha = 0.05 what is your conclusion? 0.05 -3.6 0002 0002 0001 0001 .0001 .0001 000 0001 .0001 0001 0.01 0.02 0.04 0.06 0.07 0.09 0.00 0.03 0.08 -3.5 .0002 0002 .0002 0002 .0002 .0002 0002 .0002 .0002 0002 -3.4 0003 .0003 .0003 0003 .0003 0003 0003 0003 0003 0002 -33 0005 0005 0005 0004 .0004 .0004 0004 0004 0004 0003 -32 0007 -3.1 0010 .0007 0006 0006 .0006 .0006 0006 0005 .0005 0005 0009 .0009…
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s= 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use α = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ 19 in; H₁: μ = 19 in O Ho: μ 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is known. O The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and is…
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: 19 in Ho: M = 19 in; H₁: μ # 19 in 1 Ho: M = 19 in; H₁: μ 19 in; H₁: μ = 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is…
The results of a common standardized test used in physchology research is designed so that the population mean is 155 and the standard deviation is 30. A subject earns a score of 98. What is the z-score for this raw score?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 45 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.3 feet. At a= 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? ASsume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. 19.82 of 24 pts Question Help v O (a) Identify the claim and state Ho and H What is the claim? O A. The mean braking distance is greater for Make A automobiles than Make Bautomobiles. O B. The mean braking distance is…
The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.05 level of significance to see if the mean life spans in the county were the same for whites and nonwhites. a) The null and alternative hypothesis would be: O Ho: Pw = PN H1: Pw > PN Mil :ºH H1: Hw + HN %3D O Ho: Pw H1: Pw µN Ho: µw H1: µw 0.05 d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis
A study compared the weight loss of people on a low-fat diet versus people on a low-carb diet. In a sample of 100 obese people on a low-fat diet the sample mean weight loss as 7.6 pounds with a standard deviation of 3.2 pounds. In another sample of 120 obese people on a low-carb diet the sample mean weight loss was 6.7 pounds with a standard deviation of 3.9 pounds. Write down all formulas and state the hypothesisa) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weightloss of using the 2 different diets. b) What is the p-value?
The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.
the mean weight of a group of boys is 145 lb, with a standard deviation of 5lb. if the weights are normally distributed, what percent of the boys from the group weigh between 142 lb and 152lb?
It takes an average of 9.9 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 50 injured patients to immediately tell the truth about the injury and noticed that they averaged 9.2 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.79 minutes. What can be concluded at the the 0.05 level of significance? a. The test statistics t = (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. What proportion of hybrids gets over 61 miles per gallon?

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