The heights of 1000 students are approximately normally distributed with a mean of 175.5 centimeters and a standard deviation of 6.2 centimeters. Suppose 300random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.(a) Determine the mean and standard deviation of the sampling distribution of X.The mean is = 175.5Hx(Type an integer or a decimal. Do not round.)The standard deviation is ox = 1.24(Type an integer or a decimal. Do not round.)(b) Determine the expected number of sample means that fall between 173.2 and 176.7 centimeters inclusive.sample means(Round to the nearest whole number as needed.)

Given data Normal distributionμ = 175.5σ = 6.2n = 25no. of samples(N) =300

Answered: The heights of 1000 students are…

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

Corinne is planning a beach vacation in July and is analyzing the daily average temperatures for her potential destination.Assume a beach is found with temperatures that are normally distributed. The median is 79º and standard deviation is 4º. Make a (boxplot or distribution) curve that approximately represents the daily average temperatures. Specify the range where 95% of the data fall
Assume that a nomral distribution has a mean of 22 and a standard deviation of 7. What percentage of the values are in the distribution do we expect to fall between 15 and 22?
The amounts of electricity bills for all households in a particular city have an approximately normal distribution with a mean of $135 and a standard deviation of $25. Let I be the mean amount of electricity bills for a random sample of 24 households selected from this city. Find the mean and standard deviation of
The scores of individual students on the American College Testing (ACT), a college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the mean of the sampling distribution of the sample mean score for a random sample of 36 students? 0 1 0 6
In the US women between the ages of 18 to 50 have shoe sizes that approximately follow a normal distribution. The approximate mean is shoe size 8.43 and the standard deviation is 1.35. Find the 90th percentile of this distribution, write the calculator function used to compute the result, and interpret it in a complete sentence.
Find the ML estimator of the mean and variance from i.i.d. measurements from a normal distribution.
A parenting magazine reports that the average amount of wireless data used by teenagers each month is 5 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 25 teenagers at her high school, and calculates a mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.01 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. E Tables E Keypad Answer Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of…
A parenting magazine reports that the average amount of wireless data used by teenagers each month is 10 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 16 teenagers at her high school, and calculates a mean of 9.1 Gb per month with a standard deviation of 1.3 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.05 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision.

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