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. Asample 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 2.1199 200 21.3 22 22.7 234 24.1inchesinches^^inches39.9 40.6 41.3 42 42.7 434 44.1@010 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 34inches

Given information for State of California: Mean, μ=22. Standard deviation, σ=4. Sample size, n=31.…

Answered: sample of 31 years of rainfall for…

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

The average age of the JYP employees is known to be 32 years and the standard deviation is 5 years. Find the probability that a random sample of 36 employees will have an average age of less than 30 years. What is the probability of 36 employees who have an average age of less than 30 years?
The life of light bulbs is distributed normally, the standard deviation of the lifetime is 26 hours and the mean lifetime of a bulb is 550, Find the probability of a bulb lasting for at most 600 hours. CS Scanned with CamScanner
Suppose you have the weights of small dogs and theyre distributed normally with a mean of 4.1 kg and standard deviation of 0.8 kg, what is the proabably of randomly choosing a small dog with weight between 4.2 and 5.2kg? what percentage of the small dogs weigh less than 3.5 but more than 5.5? what percentage of cats weigh mean + the standard deviation explanations please
The weight of items produced by a machine is normally distributed with a mean of 260 grams and a standard deviation of 13 grams. (Standard table attached) (Show working wherever possible) 1. What is the probability that an item has a weight of less than 247 grams. (Round to 4 decimals) 2. What is the probability that an item has a weight of more than 275.2 grams. (Round to 4 decimals) 3. What is the probability that an item has a weight between 249.7 grams and 270.3 grams. (Round to 4 decimals) 4. 98.5% of items have a weight more than what value? (Round answer to 2 decimals)
Random samples of size 46 are drawn from a population with mean 161.9 and standard deviation 16.1. Find the mean and the standard deviation of the sample mean. Round to four decimal places.Mean = Standard Deviation = Enter your answer as a number accurate to 4 decimal places.
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 country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.1 inches, and standard deviation of 1.8 inches.What is the probability that the height of a randomly chosen child is between 59.1 and 60.3 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)
The tread life of a particular brand of tire is a random variable best describe by a normal distribution with a mean of 60,000 miles and a standard deviation of 1400 miles. What is the probability that the average life of 4 tires is greater than 58,600 miles?
When Emma commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 53 minutes and a standard deviation of 5 minutes. What percentage of her commutes will be shorter than 62 minutes, to the nearest tenth? Statistics Calculator
Having more than 1000 students in a year, assume that I choose a simple random samples of 30 final exams in my engineering economics class and compute the class average. The results show that 5% of the grades are over 2.1 and 5% are under 1.9. Using this information, determine (i) the population mean and (ii) the population standard deviation of the final exam. DO NOT USE EXCEL & PLEASE SHOW ALL CALCULATIONS AND STEPS.
he average amount of time boys and girls spend playing sports each week is believed to be the same. A sample of equal size n is taken from boys and girls , the mean of the boys is 29 hours with standard deviation 4 hours and the mean of the girls is 27 hours with standard deviation 3 hours Both populations have a normal distribution. The calculated value is 1.2 n =
The migratory habits of zebra in the savanna are normally distributed with a mean of 238 days and a standard deviation of 13 days. Find the probability a single zebra will migrate in less than 220 days.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS