Answered: As a part of her evaluation of New…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

As a part of her evaluation of New Orleans city employees, the Mayor instructs you to audit the parking tickets issued by city parking officers to determine the number of tickets per officer that were improperly issued. Because there has recently been a change in the parking department's hiring practices, the Mayor suspects that the mean number of improperly issued tickets has changed.

In past years, the number of improperly issued tickets per officer had a Normal distribution with a mean (mu) of 380, and std dev (sigma) of 35.2.

You conduct a hypothesis test at the 90% level to test the null hypothesis that the mean number of improperly issued tickets is different than 380. Your audit of 50 randomly selected parking officers yields an average of 390 tickets.

What do you conclude? Has the number of improperly issued parking tickets changed?

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No, you cannot reject the null hypothesis (of no change). Therefore, you cannot conclude that the number of improperly issued parking tickets has changed.

Yes, you reject the null hypothesis (of no change) and conclude that the number of improperly issued parking tickets has changed.

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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