Answered: Use the standard normal distribution or…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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Related questions

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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