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 probabilities that a person is receiving a chat message 0, 1, 2, 3, 4, or 5 per day are the following: 0.08, 0.19, 0.36, 0.25, 0.07, and 0.05. Find the mean, variance, and standard deviation and interpret the results.
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 31 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. -2.1-14-0.7 0 0.7 1.4 2.1 199 200 21.3 22 22.7 234 24.1 inches inches ^^ inches 39.9 40.6 41.3 42 42.7 434 44.1 @0 10 14 18 22 26 (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) (a) 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? 30 34 inches
State the formula for Variance.
Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each warehouse has a .05 probability of experiencing a fire. If a fire is experienced in a given warehouse, $1,000 in inventory will be lost. What is the pooled standard deviation of the warehouses per warehouse (round to the nearest whole number)?
Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2 years. Suppose we obtain a random sample of 80 tulane undergraduates. Find the probability that the sample average is at least 20.3 years.
A highway engineer who is studying the number of accidents at a busy intersec- tion has determined that accidents occur at the rate of 2.5 per month. a. Find the probability that none occurs in a given month. b. Find the probability that more than one occur in a given month. c. Find the population mean, the population variance, and the population stan- dard deviation for the number of accidents in a given month.
The electric bills for all households in a large city have the normal distribution with a mean of $68 per month and a standard deviation of $10. Find the probability that an electric bill is greater than $70.
Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 2 hours and 2 minutes after the doors opened, and the standard deviation was estimated at about 44 minutes. Assume that the arrival times follow a normal distribution. At what time after the doors open will 55% of the people who are coming to the Saturday show have arrived? 2 hours 13 minutes 2 hours 1 minute O I hour 56 minutes O 2 hours 7 minutes O O hours 5 minutes
Americans spend an average 12.2 minutes in the shower. If the standard deviation of the variable is 2 minutes and the variable is normally distributed, find the probability that the mean time of a sample of 15 Americans who shower will be less than 12 minutes.
The number of hours it takes for symptoms of a viral disease to show from the time of infection follows a normal distribution with mean 175 hours and standard deviation of 25 hours. Find the probability that randomly selected person who has just been infected will not display any symptoms until after 188 hours. A. 0.0047 B. 0.3015 C. 0.6985 D. 0.9953
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.

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