A statistics exam has a normal distribution of scores with mean equals 68 and standard deviation equals 10. Find the ff. probabilities:P ( X > 64)P ( X < 55)P ( 48 < X < 70)IF WE PICK RANDOM SAMPLES FROM THE POPULATION OF EXAM TAKERS WITH SAMPLE SIZE n = 36:Solve for standard error of means.Graph the sampling distribution of means.Find the following probabilities. Include a graphical solution for each item:P (X-bar > 64)P (57.6 < X-bar < 63.2)P (54 < X-bar < 56) Suppose you picked a random sample which yielded X-bar = 69.35. Find the 95% confidence interval for mu using this statistic.

From the information, given thatLet X denotes the scores which follow normal distribution with the…

Answered: A statistics exam has a normal…

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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A statistics exam has a normal distribution of scores with mean equals 68 and standard deviation equals 10. Find the ff. probabilities:

P ( X > 64)
P ( X < 55)
P ( 48 < X < 70)

IF WE PICK RANDOM SAMPLES FROM THE POPULATION OF EXAM TAKERS WITH SAMPLE SIZE n = 36:

Solve for standard error of means.
Graph the sampling distribution of means.
Find the following probabilities. Include a graphical solution for each item:

P (X-bar > 64)
P (57.6 < X-bar < 63.2)
P (54 < X-bar < 56)

Suppose you picked a random sample which yielded X-bar = 69.35. Find the 95% confidence interval for mu using this statistic.

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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