A random sample of size n = 49 is selected from a53 and standardpopulation with mean μ=deviation =o 21. Find the mean and standarddeviation of the sampling distribution of x.

given data n = 49μ = 53σ = 21find mean and standard deviation of sampling distribution of x¯.

Answered: A random sample of size n = 49 is…

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

If x has a normal distribution with mean u=15 and standard deviation o=3, describe the distributin of x values for sample sizen, where n=4, n=16 and n=100. How do the x distributions compare for various sample sizes?
A population has a mean μ=81 and a standard deviation σ=6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=36
A variable of a population has a mean of μ=100 and a standard deviation of σ=27 The sampling distribution of the sample mean for samples of size 81 is approximately normally distributed with mean and standard deviation .
Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 106 pounds and a standard deviation of 38.6 pounds. Random samples of size 17 are drawn from this population and the mean of each sample is determined. Ux = Standard deviation =
Suppose x has a distribution with a mean of 90 and a standard deviation of 27 Random samples of size n =36 are drawn. Find P ( x <85.5 ) =
Suppose X is normally distributed with H = 126 and unknown o. A sample of 27 observations yields a mean, =122 and a standard deviation of 3. Find the value of the test statistic to conduct a two sided t-test.
A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of horses coming to the veterinary clinic is 8 years. After making a histogram of the ages of the horses with colic, the researcher finds a skewed distribution. The researcher decides there is no need to increase the sample size because the law of large numbers: a. depends on the sample size being just right when the population distribution is skewed. O b. does not depend on the population distribution being either skewed or symmetric. O c. requires a population distribution that is Normal. O d. All of the answer options are correct.
An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and uses the sample mean, X to as an estimator for u. a. What is the bias and variance of the estimator? (Note, these may be a function of n.) b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find P(|X – µ| < 1). c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95% probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.) d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet. Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d).
A random sample is obtained from a normal population with a mean of μ=76 and a standard deviation of σ=20. The sample mean is M=84. Is this a representative sample mean or an extreme value for a sample of n=4 scores? Is this a representative sample mean or an extreme value for a sample of n=25 scores?
Assume the random variable X is normally distributed, with mean μ=50 and standard deviation σ=7 Find the 81st percentile.
A random sample of size 36 is taken from a population with mean µ = 17 and standard deviation σ = 6. What are the mean and the standard deviation for the sampling distribution of the sample mean?
The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.9 cm and the standard deviation is 4.8 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choos 20 25 30 35 0 40 0 45 50 55 ( cm) Check Save For Later Submit 2021 McGraw Hill LLC. A Rights Reserved. Terms of Use | Privacy Center MacBook 80 F3 88 F4 44 esc F1 F10 FS FB F9 @ 23 $ & 3 5 6 7 8 9 Q E T. Y P A F G H K ock C V alt alt MOSISO command optic ontrol option command

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

A random sample of size n = 49 is selected from a population with mean μ = 53 and standard deviation = o 21. Find the mean and standard deviation of the sampling distribution of x.