The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is4 inches. A sample of 30 years of rainfall for California and a sample of 46 years of rainfall for New York has been taken.(a) Show the probability distribution of the sample mean annual rainfall for California.inchesinches39.9 40.6 41.3 42 42.7 43.4 44.119.9 20.6 21.3 22 22.7 23.4 24.1inches- 2.1 -1.4 -0.7 00.71.4 2.1inches10141822263034(b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.)(c) What is the probability that the sample mean is within 1 inch of the population mean for New York? (Round your answer to four decimal places.)

Given data for California : Population Mean,μ = 22 Population Standard Deviation,σ = 4…

Answered: The state of California has a mean…

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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In the 1992 presidential election, Alaska's 40 election districts averaged 2008 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. Find the probability that a randomly selected district had fewer than 2096 votes for President Clinton. b. Find the probability that a randomly selected district had between 2047 and 2177 votes for President Clinton.c. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.
A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699
Assume that the time it takes the housekeeping crew of a local hotel to clean a room varies uniformly between 25 and 50 minutes. Calculate the mean and variance for the distribution. Select one: O a. 37.5 and 50.08 O b. 15.5 and 50.08 O c. 51.2 and 36.6 O d. 37.5 and 78.5
3. A study of the amount of time it takes to rebuild the transmission for a 2005 Chevy Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. Find the probability that their mean rebuild time exceeds 8.7 hours
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
Just do subpart "b"
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. 39.9 40.6 41.3 42 42.7 43.4 44.1 inches O -2.1-1.4 -0.7 0 0.7 1.4 2.1 inches O 10 14 18 22 26 30 34 (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) 0.8490 X inches 19.9 20.6 21.3 22 22.7 23.4 24.1 inches
The salaries ofelementary school teachers are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, Find the probability that he or she makes between $ 36,000 and $38.000 Select one: a. 0.069 O b. 0.9082 c. 0.927 O d. 0.082
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 poundsb. More than 56 poundsc. Between 55 and 57 pounds
In the 1992 presidential election, Alaska's 40 election districts averaged 2056 votes per district for President Clinton. The standard deviation was 581. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.c. Find the probability that a randomly selected district had fewer than 2103 votes for President Clinton. d. Find the probability that a randomly selected district had between 2138 and 2245 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.

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