Answered: Constructing a Confidence Interval when…

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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Constructing a Confidence Interval when the Population σσ is Known
Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviation of 3 points. A random sample of 36 scores is taken and gives a sample mean of 68. Find a 95% confidence interval estimate for the population mean exam score by providing the following information.

Constructing a Confidence Interval when the Population o is Known
Suppose scores on exams in statistics are normally distributed with an unknown population mean and a
population standard deviation of 3 points. A random sample of 36 scores is taken and gives a sample mean
of 68. Find a 95% confidence interval estimate for the population mean exam score by providing the
following information.
Confidence Level
Area in One Tail
Z-Score
50%
0.25
0.674
80%
0.1
1.282
90%
0.05
1.645
95%
0.025
1.96
98%
0.1
2.326
99%
0.005
2.576
(Include two decimal places below)
a. a =
b. 20.025
с. ЕВМ
d. The lower bound of the Confidence Interval is
e. The upper bound of the Confidence Interval is

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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