Answered: Use the standard normal distribution or…

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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Question

100%

Use the standard normal distribution or the t-distribution to construct a 99%confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results.

In a recent season, the population standard deviation of the yards per carry for all running backs was

1.21. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed.

1.6	4.5	3.2	4.9	4.8	4.2	4.6	3.4	3.7	2.3	1.7	5.5	7.2
4.2	6.5	2.6	3.9	2.9	3.1	5.6	4.8	4.3	4.7	5.6	7.3

Part 1

Which distribution should be used to construct the confidence interval?

Part 2

(a.)The 99% confidence interval is (__, __)

(b.) Neither distribution can be used to construct the confidence interval.

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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