Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 13, Problem 13.35SE
a.
To determine
To find: The percentage of the total variation which is explained by the quadratic regression y on x .
b.
To determine
To explain: Whether the regression on x and x2 is significant at 5% significance level.
c.
To determine
To explain: Whether the linear regression coefficient is significant if x2 is present in the model.
d.
To determine
To explain: Whether the quadratic regression coefficient is significant if x is present in the model.
e.
To determine
To explain: The contribution of quadratic term in the model.
f.
To determine
To find: The term that is missing in the model.
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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 13 Solutions
Introduction to Probability and Statistics
Ch. 13.4 - Prob. 13.1ECh. 13.4 - Prob. 13.2ECh. 13.4 - Suppose that you fit the model E(y)=0+1x1+2x2+3x3...Ch. 13.4 - Prob. 13.4ECh. 13.4 - Prob. 13.5ECh. 13.4 - Prob. 13.6ECh. 13.4 - Prob. 13.7ECh. 13.4 - Prob. 13.8ECh. 13.4 - Prob. 13.9ECh. 13.4 - College Textbooks A publisher of college textbooks...
Ch. 13.4 - Prob. 13.11ECh. 13.4 - Prob. 13.12ECh. 13.4 - Prob. 13.13ECh. 13.4 - Prob. 13.14ECh. 13.4 - Prob. 13.15ECh. 13.4 - Prob. 13.16ECh. 13.5 - Prob. 13.17ECh. 13.5 - Prob. 13.18ECh. 13.5 - Prob. 13.19ECh. 13.5 - Prob. 13.20ECh. 13.5 - Prob. 13.21ECh. 13.5 - Prob. 13.22ECh. 13.5 - Prob. 13.23ECh. 13.5 - Construction Projects In a study to examine the...Ch. 13 - Prob. 13.25SECh. 13 - Prob. 13.26SECh. 13 - Prob. 13.28SECh. 13 - Prob. 13.29SECh. 13 - Prob. 13.30SECh. 13 - Prob. 13.31SECh. 13 - Prob. 13.32SECh. 13 - Prob. 13.33SECh. 13 - Quality Control A manufacturer recorded the number...Ch. 13 - Prob. 13.35SECh. 13 - Prob. 13.36SE
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