Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 12.9, Problem 12.97LM
Determine which pairs of the following models are “nested” models. For each pair of nested models, identify the complete and reduced model.
- a. E(y) = β0 + β1x1 + β2x2
- b. E (y) = β0 + β1x1
- c.
- d. E(y) = β0 + β1x1+ β2x1 + β3x1x2
- e. E(y) = β0 + β1x1 + β2x2 + β3x1x2 + β4x12+ β5x22
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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?
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…
Chapter 12 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 12.3 - Write a first-order model relating E(y) to a. two...Ch. 12.3 - Minitab was used to fit the model E(y) = (0 + 1x1...Ch. 12.3 - Suppose you fit the multiple regression model y =0...Ch. 12.3 - Suppose you fit the first-order multiple...Ch. 12.3 - Prob. 12.5LMCh. 12.3 - Prob. 12.6LMCh. 12.3 - Prob. 12.7LMCh. 12.3 - If the analysis of variance F-test leads to the...Ch. 12.3 - Ambiance of 5-star hotels. Although invisible and...Ch. 12.3 - Forecasting movie revenues with Twitter. Refer to...
Ch. 12.3 - Accounting and Machiavellianism. Refer to the...Ch. 12.3 - Prob. 12.12ACBCh. 12.3 - Predicting elements in aluminum alloys. Aluminum...Ch. 12.3 - Novelty of a vacation destination. Many tourists...Ch. 12.3 - Arsenic in groundwater. Environmental Science ...Ch. 12.3 - Reality TV and cosmetic surgery. How much...Ch. 12.3 - Contamination from a plant's discharge. Refer to...Ch. 12.3 - Cooling method for gas turbines. Refer to the...Ch. 12.3 - Rankings of research universities. Refer to the...Ch. 12.3 - Bubble behavior in subcooled flow boiling. In...Ch. 12.3 - Prob. 12.22ACICh. 12.3 - Prob. 12.23ACACh. 12.3 - Prob. 12.24ACACh. 12.4 - Characteristics of lead users. Refer to the...Ch. 12.4 - Prob. 12.26ACBCh. 12.4 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.4 - Chemical plant contamination. Refer to Exercise...Ch. 12.4 - Prob. 12.29ACBCh. 12.4 - Arsenic in groundwater. Refer to the Environmental...Ch. 12.4 - Prob. 12.32ACICh. 12.4 - Prob. 12.33ACICh. 12.4 - Boiler drum production. In a production facility,...Ch. 12.5 - Suppose the true relationship between E(y) and the...Ch. 12.5 - Suppose you fit the interaction model y = 0 + x1 +...Ch. 12.5 - Prob. 12.37LMCh. 12.5 - Tipping behavior in restaurants. Can food servers...Ch. 12.5 - Forecasting movie revenues with Twitter. Refer to...Ch. 12.5 - Prob. 12.41ACBCh. 12.5 - Prob. 12.42ACBCh. 12.5 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.5 - Factors that impact an auditors judgment. A study...Ch. 12.5 - Service workers and customer relations. A study in...Ch. 12.5 - Bubble behavior in subcooled flow boiling. Refer...Ch. 12.5 - Arsenic in groundwater. Refer to the Environmental...Ch. 12.5 - Cooling method for gas turbines. Refer to the...Ch. 12.6 - Write a second-order model relating the mean of y,...Ch. 12.6 - Prob. 12.50LMCh. 12.6 - Prob. 12.51LMCh. 12.6 - Prob. 12.52LMCh. 12.6 - Minitab was used to fit the complete second-order...Ch. 12.6 - Personality traits and job performance. When...Ch. 12.6 - Going for it on fourth-down in the NFL. Refer to...Ch. 12.6 - Prob. 12.56ACBCh. 12.6 - Prob. 12.57ACBCh. 12.6 - Assertiveness and leadership. Management...Ch. 12.6 - Goal congruence in top management teams. Do chief...Ch. 12.6 - Prob. 12.60ACICh. 12.6 - Revenues of popular movies. The Internet Movie...Ch. 12.6 - Prob. 12.62ACICh. 12.6 - Prob. 12.63ACICh. 12.6 - Prob. 12.64ACICh. 12.6 - Prob. 12.65ACICh. 12.7 - Write a regression model relating the mean value...Ch. 12.7 - Prob. 12.67LMCh. 12.7 - Prob. 12.68LMCh. 12.7 - Prob. 12.69LMCh. 12.7 - Prob. 12.70ACBCh. 12.7 - Prob. 12.71ACBCh. 12.7 - Prob. 12.72ACBCh. 12.7 - Prob. 12.73ACBCh. 12.7 - Buy-side vs. sell-side analysts earnings...Ch. 12.7 - Prob. 12.75ACBCh. 12.7 - Charisma of top-level leaders. Refer to the...Ch. 12.7 - Corporate sustainability and firm characteristics....Ch. 12.7 - Homework assistance for accounting students. Refer...Ch. 12.7 - Improving driving performance while fatigued....Ch. 12.7 - Prob. 12.80ACACh. 12.7 - Banning controversial sports team sponsors. Refer...Ch. 12.8 - Consider a multiple regression model for a...Ch. 12.8 - Prob. 12.83LMCh. 12.8 - Consider the model: y = 0+ 1x1+ 2 x2+ 3 x3+...Ch. 12.8 - Consider the model:...Ch. 12.8 - Prob. 12.86LMCh. 12.8 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.8 - Do blondes raise more funds? Refer to the Economic...Ch. 12.8 - Prob. 12.89ACBCh. 12.8 - Buy-side vs. sell-side analysts earnings...Ch. 12.8 - Workplace bullying and intention to leave....Ch. 12.8 - Agreeableness, gender, and wages. Do agreeable...Ch. 12.8 - Chemical plant contamination. Refer to Exercise...Ch. 12.8 - Prob. 12.94ACICh. 12.8 - Recently sold, single-family homes. The National...Ch. 12.8 - Charisma of top-level leaders Refer to the Academy...Ch. 12.9 - Determine which pairs of the following models are...Ch. 12.9 - Prob. 12.98LMCh. 12.9 - Prob. 12.99LMCh. 12.9 - Shared leadership in airplane crews. Refer to the...Ch. 12.9 - Buy-side vs. sell-side analysts earnings...Ch. 12.9 - Workplace bullying and intention to leave. Refer...Ch. 12.9 - Cooling method for gas turbines. Refer to the...Ch. 12.9 - Prob. 12.104ACBCh. 12.9 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.9 - Study of supervisor-targeted aggression....Ch. 12.9 - Prob. 12.107ACICh. 12.9 - Recently sold, single-family homes. Refer to the...Ch. 12.9 - Prob. 12.109ACICh. 12.9 - Prob. 12.110ACACh. 12.10 - Prob. 12.111LMCh. 12.10 - Teacher pay and pupil performance. In Economic...Ch. 12.10 - Risk management performance. An article in the...Ch. 12.10 - Accuracy of software effort estimates....Ch. 12.10 - Diet of ducks bred for broiling. Corn is high in...Ch. 12.10 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.10 - Prob. 12.117ACICh. 12.10 - Prob. 12.118ACICh. 12.10 - Prob. 12.119ACICh. 12.12 - Identify the problem(s) in each of the residual...Ch. 12.12 - Consider fitting the multiple regression model...Ch. 12.12 - Emotional intelligence and team performance. Refer...Ch. 12.12 - State casket sales restrictions. Some states...Ch. 12.12 - Personality traits and job performance. Refer to...Ch. 12.12 - Women in top management. Refer to the Journal of...Ch. 12.12 - Accuracy of software effort estimates. Refer to...Ch. 12.12 - Arsenic in groundwater. Refer to the Environmental...Ch. 12.12 - Reality TV and cosmetic surgery. Refer to the Body...Ch. 12.12 - Failure times of silicon wafer microchips. Refer...Ch. 12.12 - Bubble behavior in subcooled flow boiling. Refer...Ch. 12.12 - Banning controversial sports team sponsors. Refer...Ch. 12.12 - Cooling method for gas turbines. Refer to the...Ch. 12.12 - Agreeableness, gender, and wages. Refer to the...Ch. 12 - Suppose you have developed a regression model to...Ch. 12 - When a multiple regression model is used for...Ch. 12 - Suppose you fit the model y=0+1x1+2x12+3x2+4x1x2+...Ch. 12 - Prob. 12.137LMCh. 12 - Prob. 12.138LMCh. 12 - Prob. 12.139LMCh. 12 - Prob. 12.140LMCh. 12 - Prob. 12.141LMCh. 12 - Prob. 12.142LMCh. 12 - Prob. 12.143LMCh. 12 - Prob. 12.144LMCh. 12 - Comparing private and public college tuition....Ch. 12 - Prob. 12.146ACBCh. 12 - Prob. 12.147ACBCh. 12 - Highway crash data analysis. Researchers at...Ch. 12 - Prob. 12.149ACBCh. 12 - Mental health of a community. An article in the...Ch. 12 - Prob. 12.151ACBCh. 12 - Testing tires for wear. Underinflated or...Ch. 12 - Prob. 12.153ACBCh. 12 - Prob. 12.154ACBCh. 12 - Prob. 12.155ACBCh. 12 - Prob. 12.156ACBCh. 12 - Prob. 12.157ACBCh. 12 - Promotion of supermarket vegetables. A supermarket...Ch. 12 - Yield strength of steel alloy. Industrial...Ch. 12 - Prob. 12.160ACICh. 12 - Prob. 12.161ACICh. 12 - Improving Math SAT scores. Refer to the Chance...Ch. 12 - Prob. 12.163ACICh. 12 - Prob. 12.164ACICh. 12 - Prob. 12.165ACICh. 12 - Prob. 12.166ACICh. 12 - Sale prices of apartments. A Minneapolis,...Ch. 12 - Volatility of foreign stocks. The relationship...Ch. 12 - Prob. 12.169ACICh. 12 - Prob. 12.170ACICh. 12 - State casket sales restrictions Refer to the...Ch. 12 - Modeling monthly collision claims. A medium-sized...Ch. 12 - Developing a model for college GPA. Many colleges...
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