You may need to use the appropriate appendix table or technology to answer this question.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 forboth states is 4 inches. A sample of 33 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.inchesinches-2.1 -1.4 -0.70.71.42.139.9 40.6 41.34242.7 43.4 44.1inchesinches1014182226303419.9 20.6 21.32222.7 23.4 24.1(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.)(d) In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why?part (b), because the standard error is smallerpart (c), because the sample size is largerpart (c), because the population standard deviation is smallerpart (b), because the population standard deviation is smaller

For the given data Find all the required blanks

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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The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 48 inches (Current Results website, October 27, 2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with and (to decimals). b. What is the probability that the sample mean is within inch of the population mean for California? (to decimals) c. What is the probability that the sample mean is within inch of the population mean for New York? (to decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of the population mean greater? Why? The probability of being within inch is greater because the sample size is .
If x=26,412 tuition per a four year and n=7,498 is standard deviation. Assuming the distribution is normal. Find the probability that a random nonprofit four year college will cost less than 28,604 per year. And find the 70th percentile for this distribution
1. Lori just bought a set of 4 tires for her car. The life of a tire is normally distributed with a mean of 45000 miles and a standard deviation of 2000 miles. Find the probability that all 4 tires will last for at least 46000 miles. Assume independence of tires between one another.
In the 1992 presidential election, Alaska's 40 election districts averaged 1953 votes per district for President Clinton. The standard deviation was 559. (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 1836 votes for President Clinton. d. Find the probability that a randomly selected district had between 1854 and 2104 votes for President Clinton. e. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.
A population has an average of 125 and a standard deviation of 15. Calculate the probability that in a sample of size 75, the sample mean is greater than 130.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more points, you lose $11. Note: Both Michigan and Indiana are NCAA Basketball teams. 1)Find the mean and standard deviation of your winnings on a single bet. Assume that there is a 0.5 probability that you will win your bet and a 0.5 probability that you will lose your bet.
Each month, an American household generates an average of 28 pounds of garbage. Assume the standard deviation is 2.5 pounds. If a household is selected at random, find the probability of the following: A household averaging between 27 and 31 pounds per month (5) A household averaging more than 30.2 pounds per month A street with 25 houses averaging more than 30 pounds per month.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
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 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

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