APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 11, Problem 9CR
*What is the general linear model and why is it useful?
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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
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
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
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
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 11 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 5, n2...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 8, n2...Ch. 11.2 - Prob. 5SECh. 11.2 - Prob. 6SECh. 11.2 - Instructions for Exercises 11.5 through 11.8: Use...Ch. 11.2 - Prob. 8SECh. 11.3 - Consider a one-factor ANOVA with n1 = 9, n2 = 10,...Ch. 11.3 - Consider a one-factor ANOVA with n1 = 6, n2 = 5,...
Ch. 11.3 - Prob. 11SECh. 11.3 - Prob. 12SECh. 11.3 - Prob. 13SECh. 11.3 - Prob. 14SECh. 11.4 - In a one-factor ANOVA with n1 = 6, n2 = 4, and n3...Ch. 11.4 - Prob. 16SECh. 11.4 - Prob. 17SECh. 11.4 - Prob. 18SECh. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.5 - Prob. 21SECh. 11.5 - Prob. 22SECh. 11.5 - Prob. 23SECh. 11.5 - Prob. 24SECh. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Prob. 27SECh. 11.6 - Prob. 28SECh. 11 - Explain each term: (a) explained variation; (b)...Ch. 11 - (a) Explain the difference between one-factor and...Ch. 11 - (a) State three assumptions of ANOVA. (b) What do...Ch. 11 - (a) Sketch the format of a one-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - Prob. 7CRCh. 11 - (a) What does a test for homogeneity of variances...Ch. 11 - What is the general linear model and why is it...Ch. 11 - (a) What is a 2k design, and what are its...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - In a market research study, members of a consumer...Ch. 11 - Prob. 47CECh. 11 - (a) What kind of ANOVA is this (one-factor,...Ch. 11 - Here is an Excel ANOVA table for an experiment to...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Prob. 51CECh. 11 - A company has several suppliers of office...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Are large companies more profitable per dollar of...
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- A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts? 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the answer of the second part.) 2. Compute the probability of a value greater than 55.0. Use the same formula, x=55 and subtract the answer from 1. 3. Compute the probability of a value between 52.0 and 55.0. (The question requires finding probability value between 52 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 52, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…arrow_forwardClient 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127arrow_forward
- Client 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127 a) Determine the mean change in patient weight from before to after the diet (after – before). What is the 95% confidence interval of this mean difference?arrow_forwardIn order to find probability, you can use this formula in Microsoft Excel: The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest. =NORM.DIST(x, Mean, Standard Dev., TRUE). When the question mentions “greater than” you may have to subtract your answer from 1. When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer. 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…arrow_forward
- Problem 1: The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is: Between the mean and $45 per hour? More than $45 per hour? Less than $32 per hour? Problem 2: The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds? What is the area between the mean and 395 pounds? What is the probability of randomly selecting a value less than 395 pounds? Problem 3: In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution. What percent of New York State high school teachers earn between 70,000 and 75,000? What percent of New York State high school…arrow_forwardPls help asaparrow_forwardSolve the following LP problem using the Extreme Point Theorem: Subject to: Maximize Z-6+4y 2+y≤8 2x + y ≤10 2,y20 Solve it using the graphical method. Guidelines for preparation for the teacher's questions: Understand the basics of Linear Programming (LP) 1. Know how to formulate an LP model. 2. Be able to identify decision variables, objective functions, and constraints. Be comfortable with graphical solutions 3. Know how to plot feasible regions and find extreme points. 4. Understand how constraints affect the solution space. Understand the Extreme Point Theorem 5. Know why solutions always occur at extreme points. 6. Be able to explain how optimization changes with different constraints. Think about real-world implications 7. Consider how removing or modifying constraints affects the solution. 8. Be prepared to explain why LP problems are used in business, economics, and operations research.arrow_forward
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