The mean annual cost of automobile insurance is $939. Assume that the standarddeviation is $245. What is the probability that a simple random sample ofautomobile insurance policies will have a sample mean within $25 of the populationmean for the sample size 400?a) None of the answers are correctb) 0.7586c) 0.6586d) 0.9586e) 0.8586

Given, Mean(μ)=939 $ standard deviation(σ)=245 $ sample size(n)= 400 find P(939-25 < x¯ <…

Answered: The mean annual cost of automobile…

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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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
A random sample of 37 MBAs working in New York revealed that their mean annual salary was $132,000. Suppose that the population standard deviation o is $31,000 but that the population mean μ is unknown. What is the point estimate (i.e. the "best guess") of the mean salary μ of all MBAs in this city? O $99,000 O $132,000 O $116,000 O $31,000
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
Fifteen randomly selected college students were asked to state the number of hours they slept the night before. The resulting data are: 6 16 7 8 7 796 3 11 9 15 4 7 9 a) Find the mean. b) Find the median. c) Find the standard deviation. d) According to Chebysev's Theorem, at least 75% of the times will fall between what two amounts? Is the theorem accurate for this set of data? Why of Why not? e) Are any of the reported hours "unusually" high? Are any of the reported hours unusually low?
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =
3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.

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