A random sample ofn=100observations is drawn from a population with a mean equal to18and a standard deviation equal to10.Complete parts a through g below.a. Give the mean and standard deviation of the (repeated) sampling distributionx. μx=nothingσx=nothing(Type integers or decimals.) b. Describe the shape of the sampling distribution ofx.Does this answer depend on the sample size? Choose the correct answer below. A.The shape is that of a normal distribution and does not depend on the sample size. B.The shape is that of a uniform distribution and depends on the sample size. C.The shape is that of a uniform distribution and does not depend on the sample size. D.The shape is that of a normal distribution and depends on the sample size. c. Calculate the standard normal z-score corresponding to a value ofx=16.8. z=nothing(Type an integer or a decimal.)d. Calculate the standard normal z-score corresponding to a value ofx=19.3. z=nothing(Type an integer or a decimal.)e. FindPx<16.8. Px<16.8=nothing(Round to four decimal places as needed.)f. FindPx>19.3. Px>19.3=nothing(Round to four decimal places as needed.)g. FindP16.8<x<19.3. P16.8<x<19.3=nothing(Round to four decimal places as needed.)

Hi, you have posted multiple parts in one question. As per the guidelines I am obliged to answer…

Answered: a. Give the mean and standard deviation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A random sample of

n=100

observations is drawn from a population with a mean equal to

and a standard deviation equal to

10.

Complete parts a through g below.

a. Give the mean and standard deviation of the (repeated) sampling distribution

μx=nothing

σx=nothing

(Type integers or decimals.)

b. Describe the shape of the sampling distribution of

Does this answer depend on the sample size? Choose the correct answer below.

The shape is that of a normal distribution and does not depend on the sample size.

The shape is that of a uniform distribution and depends on the sample size.

The shape is that of a uniform distribution and does not depend on the sample size.

The shape is that of a normal distribution and depends on the sample size.

c. Calculate the standard normal z-score corresponding to a value of

x=16.8.

z=nothing

(Type an integer or a decimal.)

d. Calculate the standard normal z-score corresponding to a value of

x=19.3.

z=nothing

(Type an integer or a decimal.)

e. Find

Px<16.8.

Px<16.8=nothing

(Round to four decimal places as needed.)

f. Find

Px>19.3.

Px>19.3=nothing

(Round to four decimal places as needed.)

g. Find

P16.8<x<19.3.

P16.8<x<19.3=nothing

(Round to four decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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