Hint(s) | Check My WorkAccording to the Current Results website, the state of California has a mean annual rainfall of 25 inches, whereas the state of New York has amean annual rainfall of 36 inches. Assume that the standard deviation for both states is 3 inches. A sample of 30 years of rainfall for Californiaand a sample of 45 years of rainfall for New York has been taken. Use z-table.a. Show the probability distribution of the sample mean annual rainfall for California.This is a normal probability distribution with E(7) =|25and oz = 0.5477(to 4 decimals).b. What is the probability that the sample mean is within 1 inch of the population mean for California?(to 4 decimals)c. What is the probability that the sample mean is within 1 inch of the population mean for New York?(to 4 decimals)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?The probability of being within 1 inch is greater- Select your answer -because the sample size is - Select your answer -

California 25 3 30 New york 36 3 45

According to the Current Results website, the state of California has a mean annual rainfall of 25 inches, whereas the state of New York has a mean annual rainfall of 36 inches. Assume that the standard deviation for both states is 3 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with E() =| and oz = 0.5477 (to 4 decimals). 25 b. What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals) c. What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals)

According to the Current Results website, the state of California has a mean annual rainfall of 25 inches, whereas the state of New York has a mean annual rainfall of 36 inches. Assume that the standard deviation for both states is 3 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with E() =| and oz = 0.5477 (to 4 decimals). 25 b. What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals) c. What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Assume that the height of a type of tree has a normal probability distribution with a mean of 55.2 ft and a standard deviation of 5.7 ft.A tree of this type grows in my backyard and it stands 39.8 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.My neighbor also has a tree of this type growing in her backyard, but hers stands 68.3 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.Enter your answers as decimals accurate to 3 decimal places.
Assume the average weight of a schoolchild's book bag is 17.5 pounds, with a standard variation of 2.2 pounds. Determine the probability that the mean weight of a sample of 30 book bags will be more than 18 pounds.
The average cholesterol content of a certain canned goods is 215milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. If a canned good is selected, what is the probability that the cholesterol content will be greater than 200 milligrams?
The green turtle migrates across the Southern Atlantic in the winter, swimming great distances. A study found that the mean migration distance was 2,200 kilometers and the standard deviation was 625 kilometers. Assume that the distances are normally distributed. Find the probability that a randomly selected green turtle migrates a between 1,900 kilometers and 2,200 kilometers.
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.
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.
The average amount customer spend yearly at a local grocery store is $635.55 . Assume the variable is normally distributed. If the standard deviation is $94.41 find the probability that a randomly selected customer spends between $569.46 and $758.28
A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34. suppose that, in fact, the total cholesterol level of men aged 20-34 follows the normal distribution with a mean of 182 milligrams per deciliter. The standard deviation is 37 milligrams per deciliter. choose an SRS of 1000 men from this population. Now what is the probability that x falls within + or - 2 milligrams per deciliter of the mean?
If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds 140 lbs. The mean is 180 lbs and standard deviation is 44 lbs
One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations. One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’…
The life of a vacuum cleaner is normally disyributed with mean 5 years and standard deviation 2 year. find the probability that it lasts less than 4 years.
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.