Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 5.8, Problem 102E
A firm purchases two types of industrial chemicals. Type I chemical costs $3 per gallon, whereas type II costs $5 per gallon. The
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Calculate the 90% confidence interval for the population mean difference using the data in the attached image. I need to see where I went wrong.
Microsoft Excel snapshot for random sampling: Also note the formula used for the last
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ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
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ARIZONA
0.941323044
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4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
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F
G
1
No.
States
Rand No. Random Sample
population
50
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1 ALABAMA
0.5296685 NEW HAMPSHIRE
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0.4493186 OKLAHOMA
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3 ARIZONA
0.707914 KANSAS
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4 ARKANSAS 0.4831379 NORTH DAKOTA
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5 CALIFORNIA 0.7277162 INDIANA
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Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
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7:ONNECTICU 0.7640596 ILLINOIS
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8 DELAWARE 0.5783029 MISSOURI
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INDIANA
MARYLAND
COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
Chapter 5 Solutions
Mathematical Statistics with Applications
Ch. 5.2 - Contracts for two construction jobs are randomly...Ch. 5.2 - Three balanced coins are tossed independently. One...Ch. 5.2 - Of nine executives in a business firm, four are...Ch. 5.2 - Given here is the joint probability function...Ch. 5.2 - Refer to Example 5.4. The joint density of Y1, the...Ch. 5.2 - Prob. 6ECh. 5.2 - Let Y1 and Y2 have joint density function...Ch. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - An environmental engineer measures the amount (by...
Ch. 5.2 - Suppose that Y1 and Y2 are uniformly distributed...Ch. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.2 - The management at a fast-food outlet is interested...Ch. 5.2 - Let Y1 and Y2 denote the proportions of time (out...Ch. 5.2 - Let (Y1, Y2) denote the coordinates of a point...Ch. 5.2 - Prob. 18ECh. 5.3 - In Exercise 5.1, we determined that the joint...Ch. 5.3 - Refer to Exercise 5.2. a Derive the marginal...Ch. 5.3 - In Exercise 5.3, we determined that the joint...Ch. 5.3 - In Exercise 5.4, you were given the following...Ch. 5.3 - In Example 5.4 and Exercise 5.5, we considered the...Ch. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - In Exercise 5.10, we proved that...Ch. 5.3 - Prob. 29ECh. 5.3 - In Exercise 5.12, we were given the following...Ch. 5.3 - In Exercise 5.13, the joint density function of Y1...Ch. 5.3 - Prob. 32ECh. 5.3 - Suppose that Y1 is the total time between a...Ch. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Let Y1 denote the weight (in tons) of a bulk item...Ch. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.4 - Let Y1 and Y2 have joint density function f(y1,...Ch. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - Prob. 46ECh. 5.4 - In Exercise 5.3, we determined that the joint...Ch. 5.4 - In Exercise 5.4, you were given the following...Ch. 5.4 - In Example 5.4 and Exercise 5.5, we considered the...Ch. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - In Exercise 5.12, we were given the following...Ch. 5.4 - Prob. 57ECh. 5.4 - Suppose that the random variables Y1 and Y2 have...Ch. 5.4 - If Y1 is the total time between a customers...Ch. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Let Y1 and Y2 be independent exponentially...Ch. 5.4 - Prob. 64ECh. 5.4 - Prob. 65ECh. 5.4 - Let F1(y1) and F2(y2) be two distribution...Ch. 5.4 - Prob. 67ECh. 5.4 - Prob. 68ECh. 5.4 - The length of life Y for fuses of a certain type...Ch. 5.4 - A bus arrives at a bus stop at a uniformly...Ch. 5.4 - Prob. 71ECh. 5.6 - In Exercise 5.1, we determined that the joint...Ch. 5.6 - Prob. 73ECh. 5.6 - Refer to Exercises 5.6, 5.24, and 5.50. Suppose...Ch. 5.6 - Prob. 75ECh. 5.6 - Prob. 76ECh. 5.6 - Prob. 77ECh. 5.6 - Prob. 78ECh. 5.6 - Suppose that, as in Exercise 5.11, Y1 and Y2 are...Ch. 5.6 - In Exercise 5.16, Y1 and Y2 denoted the...Ch. 5.6 - In Exercise 5.18, Y1 and Y2 denoted the lengths of...Ch. 5.6 - In Exercise 5.38, we determined that the joint...Ch. 5.6 - Prob. 83ECh. 5.6 - In Exercise 5.62, we considered two individuals...Ch. 5.6 - Prob. 85ECh. 5.6 - Prob. 86ECh. 5.6 - Prob. 87ECh. 5.6 - Prob. 88ECh. 5.7 - In Exercise 5.1, we determined that the joint...Ch. 5.7 - Prob. 90ECh. 5.7 - In Exercise 5.8, we derived the fact that...Ch. 5.7 - Prob. 92ECh. 5.7 - Suppose that, as in Exercises 5.11 and 5.79, Y1...Ch. 5.7 - Prob. 94ECh. 5.7 - Prob. 95ECh. 5.7 - Prob. 96ECh. 5.7 - The random variables Y1 and Y2 are such that E(Y1)...Ch. 5.7 - Prob. 98ECh. 5.7 - Prob. 99ECh. 5.7 - Let Z be a standard normal random variable and let...Ch. 5.7 - Prob. 101ECh. 5.8 - A firm purchases two types of industrial...Ch. 5.8 - Prob. 103ECh. 5.8 - Prob. 104ECh. 5.8 - Prob. 105ECh. 5.8 - In Exercise 5.9, we determined that...Ch. 5.8 - In Exercise 5.12, we were given the following...Ch. 5.8 - If Y1 is the total time between a customers...Ch. 5.8 - In Exercise 5.16, Y1 and Y2 denoted the...Ch. 5.8 - Suppose that Y1 and Y2 have correlation...Ch. 5.8 - Prob. 111ECh. 5.8 - In Exercise 5.18, Y1 and Y2 denoted the lengths of...Ch. 5.8 - A retail grocery merchant figures that her daily...Ch. 5.8 - For the daily output of an industrial operation,...Ch. 5.8 - Prob. 115ECh. 5.8 - Prob. 116ECh. 5.8 - A population of N alligators is to be sampled in...Ch. 5.8 - Prob. 118ECh. 5.9 - A learning experiment requires a rat to run a maze...Ch. 5.9 - Prob. 120ECh. 5.9 - Refer to Exercise 5.117. Suppose that the number N...Ch. 5.9 - The weights of a population of mice fed on a...Ch. 5.9 - Prob. 123ECh. 5.9 - The typical cost of damages caused by a fire in a...Ch. 5.9 - When commercial aircraft are inspected, wing...Ch. 5.9 - Prob. 126ECh. 5.9 - Prob. 127ECh. 5.10 - Let Y1 and Y2 have a bivariate normal...Ch. 5.10 - Prob. 129ECh. 5.10 - Prob. 130ECh. 5.10 - Prob. 131ECh. 5.10 - Prob. 132ECh. 5.11 - Prob. 133ECh. 5.11 - Prob. 134ECh. 5.11 - In Exercise 5.41, we considered a quality control...Ch. 5.11 - In Exercise 5.42, the number of defects per yard...Ch. 5.11 - In Exercise 5.38, we assumed that Y1, the weight...Ch. 5.11 - Assume that Y denotes the number of bacteria per...Ch. 5.11 - Prob. 139ECh. 5.11 - Prob. 140ECh. 5.11 - Let Y1 have an exponential distribution with mean ...Ch. 5.11 - Prob. 142ECh. 5.11 - Prob. 143ECh. 5 - Prove Theorem 5.9 when Y1 and Y2 are independent...Ch. 5 - Prob. 145SECh. 5 - Prob. 146SECh. 5 - Two friends are to meet at the library. Each...Ch. 5 - Prob. 148SECh. 5 - Prob. 149SECh. 5 - Prob. 150SECh. 5 - The lengths of life Y for a type of fuse has an...Ch. 5 - In the production of a certain type of copper, two...Ch. 5 - Suppose that the number of eggs laid by a certain...Ch. 5 - In a clinical study of a new drug formulated to...Ch. 5 - Prob. 155SECh. 5 - Refer to Exercise 5.86. Suppose that Z is a...Ch. 5 - Prob. 157SECh. 5 - Prob. 158SECh. 5 - Prob. 159SECh. 5 - Prob. 160SECh. 5 - Suppose that we are to observe two independent...Ch. 5 - Prob. 162SECh. 5 - Prob. 163SECh. 5 - Prob. 164SECh. 5 - Prob. 165SECh. 5 - Prob. 166SECh. 5 - Prob. 167SE
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