The mean age of all 2530 students at a small college is 22.3 years with a standard deviation of 3.5 years, and the distribution is right-skewed. A random sample of 4 students' ages is obtained, and the mean is 22.9 with a standard deviat 2.8 years. Complete parts (a) through (c) below. a. Find u. a, S, and x. x= (Type integers or decimals. Do not round) b. Is u a parameter or a statistic? The value of u is a V because it is found from the c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? Select all that apply. O A. No, because the random sample and independence condition is not satisfied. O B. No, because the big population condition is not satisfied O C. No, because the large sample condition is not satisfied O D. Yes, all the conditions for using the CLT are fulfilled. What would be the shape of the approximate sampling distribution of many means, each from a sample of 4 students? O Left-skewed Normal O Right-skewed O The shape cannot be determined

The mean age of all 2530 students at a small college is 22.3 years with a standard deviation of 3.5 years, and the distribution is right-skewed. A random sample of 4 students' ages is obtained, and the mean is 22.9 with a standard deviat 2.8 years. Complete parts (a) through (c) below. a. Find u. a, S, and x. x= (Type integers or decimals. Do not round) b. Is u a parameter or a statistic? The value of u is a V because it is found from the c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? Select all that apply. O A. No, because the random sample and independence condition is not satisfied. O B. No, because the big population condition is not satisfied O C. No, because the large sample condition is not satisfied O D. Yes, all the conditions for using the CLT are fulfilled. What would be the shape of the approximate sampling distribution of many means, each from a sample of 4 students? O Left-skewed Normal O Right-skewed O The shape cannot be determined

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Description: The mean age of all 2530 students at a small college is 22.3 years with a standard deviation of 3.5 years, and the distribution is right-skewed. A random sample of 4 students' ages is obtained, and the mean is 22.9 with a standard deviation of2.8 ye

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

The mean age of all 2530 students at a small college is 22.3 years with a standard deviation of 3.5 years, and the distribution is right-skewed. A random sample of 4 students' ages is obtained, and the mean is 22.9 with a standard deviation of
2.8 years. Complete parts (a) through (c) below.
a. Find u, o, s, and x.
(Type integers or decimals. Do not round)
b. Is u a parameter or a statistic?
The value of u is a
because it is found from the
c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? Select all that apply.
O A. No, because the random sample and independence condition
not satisfied.
O B. No, because the big population condition is not satisfied
O C. No, because the large sample condition is not satisfied
O D. Yes, all the conditions for using the CLT are fulfilled.
What would be the shape of the approximate sampling distribution of many means, each from a sample of 4 students?
Left-skewed
Normal
Right-skewed
The shape cannot be determined.
O o o c

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