Emergency calls onlyTM10:21.... .... 37%1. A company decides to investigate the amount of sick leave taken by its employees. Asample of eight employees yields the following number of sick days taken in the pastyear.0040 0 0 6 0a.Find and interpret the rangeb.Find and interpret the standard deviation, s.c.Suppose the 6 was incorrectly recorded and is supposed to be 60. Redo parts aand b with the correct data and describe the effect of this outlier.2. For an exam given to a class, the students' scores ranged from 35 to 98, with a mean of74. Which of the following is the most realistic value for the standard deviation: -10, 0, 3,12, 63. Clearly explain what's unrealistic about each of the other values.3. For the sample heights of Georgia college students in Example 15 (page), the maleshad x=71 and s=3 and the females had x=65 and s=3.a. Use the empirical rule to describe the distribution of heights for males.b. The standard deviation for the overall distribution (combining males and females)was 4. Why would you expect it to be larger than the standard deviations for theseparate male and female height distributions? Would you expect the overalldistribution to still be unimodal?4. Look at the figure in question 2.53 on page 63 in our textbook. The figure showshistograms for three different samples, each with a sample size n=100.a. Which sample has the (i) largest and (ii) smallest standard deviation?b. To which sample(s) is the empirical rule relevant? Why?5. Question #1 showed data for a company that investigated the annual number of days ofsick leave taken by its employees.a. The standard deviation is 2.4. Find and interpret the range.b. The quartiles are Q1-0, median=0, Q3=2. Find the interquartile range.c.Suppose the 6 was incorrectly recorded and is supposed to be 60. The standarddeviation is then 21.1 but the quartiles do not change. Redo parts a-c with thecorrect data and describe the effect of this outlier. Which measure of variability,the range, IQR, or standard deviation is least affected by the outlier? Why?

Given:For an exam given to a class the students scores ranged from 35 to 98 with a mean of 74

Answered: 2. For an exam given to a class, the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2. For an exam given to a class, the students' scores ranged from 35 to 98, with a mean of 74. Which of the following is the most realistic value for the standard deviation: -10, 0, 3, 12, 63. Clearly explain what's unrealistic about each of the other values.