Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 8.3, Problem 31E
A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random sample of 200 cartridges is selected, and each cartridge is inspected. If the sample proportion of defective cartridges is more than 0.02, the entire shipment is returned to the vendor.
- a. What is the approximate
probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05? - b. What is the approximate probability that a shipment will not be returned if the true proportion of defective cartridges in the shipment is 0.10?
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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 8 Solutions
Introduction To Statistics And Data Analysis
Ch. 8.1 - Explain the difference between a population...Ch. 8.1 - What is the difference between x and ? Between s...Ch. 8.1 - For each of the following statements, identify the...Ch. 8.1 - Consider a population consisting of the following...Ch. 8.1 - Select 10 additional random samples of size 5 from...Ch. 8.1 - Consider the following population: {1, 2, 3, 4}....Ch. 8.1 - Consider the following population: {2, 3, 3, 4,...Ch. 8.2 - A random sample is selected from a population with...Ch. 8.2 - For which of the sample sizes given in the...Ch. 8.2 - Explain the difference between and x and between ...
Ch. 8.2 - Suppose that a random sample of size 64 is to be...Ch. 8.2 - The time that a randomly selected individual waits...Ch. 8.2 - Let x denote the time (in minutes) that it takes a...Ch. 8.2 - In the library on a university campus, there is a...Ch. 8.2 - Suppose that the mean value of interpupillary...Ch. 8.2 - Suppose that a sample of size 100 is to be drawn...Ch. 8.2 - A manufacturing process is designed to produce...Ch. 8.2 - College students with checking accounts typically...Ch. 8.2 - An airplane with room for 100 passengers has a...Ch. 8.2 - The thickness (in millimeters) of the coating...Ch. 8.3 - A random sample is to be selected from a...Ch. 8.3 - a. For which of the sample sizes given in the...Ch. 8.3 - The article Younger Adults More Likely than Their...Ch. 8.3 - The article referenced in the previous exercise...Ch. 8.3 - A certain chromosome defect occurs in only 1 in...Ch. 8.3 - The U.S. Census Bureau reported that in 2015, the...Ch. 8.3 - The article Fewer Americans Are Reading, But Dont...Ch. 8.3 - Suppose that a candidate for public office is...Ch. 8.3 - A manufacturer of computer printers purchases...Ch. 8 - The nicotine content in a single cigarette of a...Ch. 8 - Let x1, x2, , x100 denote the actual weights (in...Ch. 8 - Suppose that 20% of the subscribers of a cable...Ch. 8 - Water permeability of concrete can be measured by...Ch. 8 - Suppose that 40% of all U.S. employees contribute...Ch. 8 - The amount of money spent by a customer at a...
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