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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Answer D and E ONLY. A, B and C already asked prev
The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime of particular brand of AA batteries is 1000 hours, with a standard deviation of 100 hours. What is the probability that a randomly selected battery lasts more than 875 hours? Select one: a. 0.8716 b. 0.3749 c. 0.1056 d. 0.8944
The length of a fully grown nibiscus plants is normally distributed and has a mean of 35cm. It is found that 5% of these plants are longer than 45cm. i. When plants are chosen for sale, those shorter than 30cm are rejected. Find the probability that a plant will be rejected. Find the standard deviation o. ii.
The Normal model N(150,10) describes the distribution of scores on the LSAT, a standardized test required by most law schools. Which of the following questions asks for a probability, and which asks for a measurement? Identify the type of problem and then answer the given question. a. A law school applicant scored at the 60th percentile on the LSAT. What was the applicant's LSAT score? b. A law school applicant scored 164 on the LSAT. This applicant scored higher than what percentage of LSAT test takers? a. Identify the type of problem. Statement a asks for a What was the applicant's LSAT score? (Round to the nearest integer as needed.) b. Identify the type of problem. Statement b asks for a This applicant scored higher than what percentage of LSAT test takers? |% (Round to the nearest integer as needed.)
The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. What is the mean and standard deviation of the sampling distribution of sample means? A The mean is 22.5, and the standard deviation is 4.5. B. The mean is 22.5, and the standard deviation is 27. C. The mean is 135, and the standard deviation is 4.5. D. The mean is 135, and the standard deviation is 27.
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.
1
A ski lift states a maximum capacity is 12 people or 2004lb. A worst-case scenario would be 12 adult male passengers since they tend to be heavier verse women and children. Assume adult male weights are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb. A. If 12 men weighed exactly 2004 lb, what would be the average weight? B. Find the probability that a single man will have a weight greater than your result from A. C. Find the probability that a single man will have a weight greater than your result from A. Does the ski lift appear to have the correct weight limit from these results?
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
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 45 births. The value of the mean is μ=nothing. (Type an integer or a decimal. Do not round.) The value of the standard deviation is σ=nothing. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of nothing girls or fewer are significantly low. (Round to one decimal place as needed.) Values of nothing girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 31 girls…
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
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.

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