Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 15.1, Problem 5SE
a.
To determine
State the null and alternative hypothesis.
b.
To determine
Find the degrees of freedom for the
c.
To determine
Find the critical value of chi-square from Appendix E or from Excel’s
d.
To determine
Check whether the data provide sufficient evidence to conclude that the completion rate and prenotification are statistically independent or not and make conclusion.
e.
To determine
Find the cell that contribute most to the chi-square statistics.
f.
To determine
Find the expected frequencies that are too small.
g.
To determine
Interpret the p-value and calculate p-values using Excel function if necessary.
h.
To determine
Perform a two-tailed, two-sample z test for
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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))
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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
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4
3 ARIZONA
0.707914 KANSAS
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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
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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?
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 15 Solutions
Applied Statistics in Business and Economics
Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Prob. 5SECh. 15.2 - U.S. market share for smartphones with larger...Ch. 15.2 - Prob. 7SECh. 15.3 - Prob. 8SECh. 15.3 - Prob. 9SECh. 15.3 - In a three-digit lottery, each of the three digits...
Ch. 15.3 - Prob. 11SECh. 15.4 - Excel was asked to generate 50 Poisson random...Ch. 15.4 - Prob. 13SECh. 15.4 - Prob. 14SECh. 15.5 - Exam scores of 40 students in a statistics class...Ch. 15.5 - One Friday night, there were 42 carry-out orders...Ch. 15.6 - Prob. 17SECh. 15.6 - Prob. 18SECh. 15 - Prob. 1CRCh. 15 - Prob. 2CRCh. 15 - Prob. 3CRCh. 15 - Prob. 4CRCh. 15 - Prob. 5CRCh. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - (a) Name potential advantages of the...Ch. 15 - (a) What does a probability plot show? (b) If the...Ch. 15 - (a) Name two advantages of the Anderson-Darling...Ch. 15 - Prob. 19CECh. 15 - Prob. 20CECh. 15 - Prob. 21CECh. 15 - Prob. 22CECh. 15 - Prob. 23CECh. 15 - Prob. 24CECh. 15 - Instructions: In all exercises, include software...Ch. 15 - Prob. 26CECh. 15 - Prob. 27CECh. 15 - Prob. 28CECh. 15 - Prob. 29CECh. 15 - Prob. 30CECh. 15 - Prob. 31CECh. 15 - Prob. 32CECh. 15 - Prob. 33CECh. 15 - Prob. 34CECh. 15 - Prob. 35CECh. 15 - Prob. 36CECh. 15 - Prob. 37CECh. 15 - Prob. 38CECh. 15 - Instructions: In all exercises, include software...Ch. 15 - Prob. 40CE
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