Practice Question 1:Assume that the height of AUM male students are normally distributed with a mean of 165 cmand a standard deviation of 10 cm.a) Find the probability that a random male height is less than 162 cm.b) Find the probability that a random male height is between 164 and 166 cm.c) What are the height that only 5% of males exceed this height?d) Find the probability that the average height of a random sample of 16 males will be lessthan 165.5.c) Find the probability that the average height of a random sample of 25 males will bebetween 164.5 and 165.5.Why we can apply CLT here?

Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: Assume that the height of AUM male…

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

6) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.
Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)
An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)
Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.8 inches.
Birthweight at a hospital were reported to have a mean of 3668 grams (g) and a standard deviation of 511 g. These birthweights are normally distributed. Find the probability that a single baby's birth weight was less than 4000 g.
attendance at a large exhibition shows in Denver averages about 8000 people per day, with a standard deviation of about 500. Assume that the daily attendance figures follow a normal distribution. a) what is the probability that the daily attendance will be fewer than 7200 people? b)what is the probability that daily attendance will be more than 8900 people? c) what is the probability that the daily attendance will be between 7200 and 89000 people ?
Malaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.
An elevator has a placard stating that the maximum capacity is 3800 lb—26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator?
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6.5 days and standard deviation of 1.3 days. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) What is the probability of spending less than 9 days in recovery? b) What is the probability of spending more than 7 days in recovery? c) What is the probability of spending between 7 days and 9 days in recovery?
In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. Assume that the per capita consumption of soft drinks in the United States is approximately normally distributed with a mean of 42.1 gallons and a standard deviation of 13 gallons. 1) What is the probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014? 2) What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014? 3) Ninety-five percent of the people in the United States consumed less than how many gallons of soft drinks?
An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4100/27= 152 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? Round to four decimal places as needed
Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. However, 36 random cans of coke were selected and found to have a mean of 12.19 oz. Find the probability that a single can of Coke has at least 12.19 oz.

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