Bundle: Cengage Advantage Books: Essentials of Statistics for the Behavioral Sciences, 8th + LMS Integrated for Aplia, 1 term Printed Access Card
8th Edition
ISBN: 9781305427204
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 5, Problem 4P
For a population with μ= 80 and σ= 10,
a. Find the z-score for each of the following X values. (Note: You should be able to find these values using the definition of a z-score. You should not need to use a formula or do any serious calculations.)
X = 75
X = 100
X = 60
X = 95
X = 50
X = 85
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 5 Solutions
Bundle: Cengage Advantage Books: Essentials of Statistics for the Behavioral Sciences, 8th + LMS Integrated for Aplia, 1 term Printed Access Card
Ch. 5.2 - Identify the z-score value corresponding to each...Ch. 5.2 - Describe the location in the distribution for each...Ch. 5.2 - For a population with = 30 and = 8, find the...Ch. 5.2 - Prob. 4LCCh. 5.2 - Prob. 1LCACh. 5.2 - Prob. 2LCACh. 5.2 - Prob. 3LCACh. 5.2 - In a distribution with = 12, a score of X = 56...Ch. 5.3 - A normal-shaped distribution with = 40 and = 8...Ch. 5.3 - What is advantage of having a mean of = 0 for a...
Ch. 5.3 - A distribution of English exam scores has = 70...Ch. 5.3 - Prob. 4LCCh. 5.4 - A population of scores has = 73 and = 8. If the...Ch. 5.4 - Prob. 2LCCh. 5.6 - For a sample with a mean of M = 40 and a standard...Ch. 5.6 - For a sample with a mean of M = 80 and a standard...Ch. 5.6 - Prob. 3LCCh. 5.6 - For a sample with a standard deviation of s = 12,...Ch. 5.6 - A sample has a mean of M = 30 and a standard...Ch. 5 - What information is provided by the sign (+/) of a...Ch. 5 - A distribution has a standard deviation of = 10....Ch. 5 - For a distribution with a standard deviation of =...Ch. 5 - For a population with = 80 and = 10, a.Find the...Ch. 5 - For a population with = 40 and a = 11, find the...Ch. 5 - For a population with a mean of = 100 and a...Ch. 5 - A population has a mean of = 60 and a deviation...Ch. 5 - A sample has a mean of M = 30 and a standard...Ch. 5 - A sample has a mean of M = 25 and a standard...Ch. 5 - Find the z-score corresponding to a score of X =...Ch. 5 - Find the X value corresponding to z = 0.25 for...Ch. 5 - A score that is 6 points below the mean...Ch. 5 - A score that is 9 points above the mean...Ch. 5 - For a population with a standard deviation of =...Ch. 5 - For a sample with a standard deviation of s = 8, a...Ch. 5 - For a sample with a mean of M = 51, a score of X =...Ch. 5 - For a population with a mean of = 70, a score X =...Ch. 5 - In a population distribution, a score of X = 28...Ch. 5 - In a sample distribution, X = 56 corresponds to z...Ch. 5 - For each of the following populations, would a...Ch. 5 - A distribution of exam scores has a mean of = 78....Ch. 5 - For each of the following, identify the exam score...Ch. 5 - A distribution with a mean of = 38 and a standard...Ch. 5 - A distribution with a mean of = 76 and a standard...Ch. 5 - A population consists of the following N = 5...Ch. 5 - A sample consists of the following n = 7 scores:...
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