The scores of students on a college entrance exam were normally distributed with a mean of 19.4 and a standard deviation of 6.3. a. If a sample of 70 students who took the test (who have the same distribution as all scores) is collected, what are the mean and standard deviation of the sample mean for the 70 students? (Answer in 2 decimal places) Mean: Blank 1Standard Deviation: Blank 2 b. What is the probability that a random sample of 50 students will have an average score of 22 or higher? (Answer in 2 decimal places) Answer: Blank 3 The scores of students on a college entrance exam were normally distributed with a mean of 19.4 and a standard deviation of 6.3.a. If a sample of 70 students who took the test (who have the same distribution as all scores) is collected, what are the mean andstandard deviation of the sample mean for the 70 students? (Answer in 2 decimal places)Mean: Blank 1Standard Deviation: Blank 2b. What is the probability that a random sample of 50 students will have an average score of 22 or higher? (Answer in 2 decimalplaces)Answer: Blank 3

Given that Mean(µ) = 19.4Standard deviations (σ) = 6.3X ~ N (µ, σ) )= N(19.4, 6.3) n = 70

Answered: The scores of students on a college…

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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The scores of students on a college entrance exam were normally distributed with a mean of 19.4 and a standard deviation of 6.3.

a. If a sample of 70 students who took the test (who have the same distribution as all scores) is collected, what are the mean and standard deviation of the sample mean for the 70 students? (Answer in 2 decimal places)

Mean: Blank 1

Standard Deviation: Blank 2

b. What is the probability that a random sample of 50 students will have an average score of 22 or higher? (Answer in 2 decimal places)

Answer: Blank 3

The scores of students on a college entrance exam were normally distributed with a mean of 19.4 and a standard deviation of 6.3.
a. If a sample of 70 students who took the test (who have the same distribution as all scores) is collected, what are the mean and
standard deviation of the sample mean for the 70 students? (Answer in 2 decimal places)
Mean: Blank 1
Standard Deviation: Blank 2
b. What is the probability that a random sample of 50 students will have an average score of 22 or higher? (Answer in 2 decimal
places)
Answer: Blank 3

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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