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 life of light bulbs is distributed normally, the standard deviation of the lifetime is 29 hours and the mean lifetime of a bulb is 570, Find the probability of a bulb lasting for at least 620 hours. CS Scanned with CamScanner
The time college students spend watching YouTube videos each day is normally distributed with a mean of 68 minutes and a standard deviation of 24 minutes. What is the probability that for a sample of 12 college students, the sample mean time spent watching YouTube videos for the 12 college students will be less than 50 minutes? Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer with value input, etc) Calculation: ____________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(x¯<50 minutes) = ____________
The number of cars running a red light in a day, at a given intersection, possesses a distribution with a mean of 3 cars and a standard deviation of 1 car. The number of cars running the red light was observed on 100 randomly chosen days. The middle 60% of the sample mean or average number of cars are between what two values? Round to two decimal places. 2.92 cars and 3.08 cars 2.16 cars and 3.84 cars 2.99 cars and 3.01 cars 2.92 cars and 3.84 cars
Number 11
Suppose that the distance of fly balls hit to the outfield (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. If ?̅ = average distance in feet for 49 fly balls, then ?̅ ~ _______(_______,_______) b. Find the standard error of the mean. c. What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for ?̅ . Shade the region corresponding to the probability. Find the probability. d. Find the 80th percentile of the distribution of the average of 49 fly balls.
Suppose that the amount of time per day that American adults spend on their mobile devices is normally distributed with mean 229 minutes and standard deviation 57 minutes. About 68% of all American adults spend between ___________ and ___________ minutes on their mobile devices per day.
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. You want to find the probability of selecting sample of 36 teams with a mean of 143 points or more. What is the z-score for a sample mean of 143 points? Round your z-score to 2 decimal places.
Travel times to work for people living in a city are normally distributed. 20 % of the travel times are greater than 60 minutes and 50 % of the travel times are below 25 minutes. What is the approximate standard deviation of the travel time to work for people living in this city?
Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 690 and a standard deviation of 230. If the supermarket is open 14 hours per day, what is the probability that the average hourly number of customers in a day exceeds 728? Probability =
The Atlanta Braves baseball team as a mean batting average of 250 with a standard Deviation of 20. Assume the batting averages are normally distributed What is the probability of selecting a player with an average of under 300 What percent of braves players fall between 230 and 270 What is the probability of selecting a player with a batting averages between 220 and 280 I NEED HELP
# of Hurricanes from 1850-1920 year,#hurricanes. 1850,2 1860,1 1870,1 1880,4 1890,4 1900,2 1910,6 1920,8 Mean: 3.500 Standard Deviation: 2.507 # of Hurricanes from 1930-2000 year,hurricanes. 1930,16 1940,9 1950,15 1960,14 1970,8 1980,10 1990,14 2000,23 Mean: 13.625 Standard Deviation: 4.809 1. Calculate the Z score for the difference of the means.
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.9 inches, and standard deviation of 3.2 inches.What is the probability that the height of a randomly chosen child is between 50.1 and 54.4 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.)

SEE MORE QUESTIONS

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