Statistical Techniques in Business and Economics, 16th Edition
16th Edition
ISBN: 9780078020520
Author: Douglas A. Lind, William G Marchal, Samuel A. Wathen
Publisher: McGraw-Hill Education
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Question
Chapter 4, Problem 1.1SR
(a)
To determine
Find the maximum numbers of employees per store.
Find the minimum numbers of employees per store.
(a)
Expert Solution
Answer to Problem 1.1SR
The maximum numbers of employees per store is 105 employees.
The minimum numbers of employees per store is 79 employees.
Explanation of Solution
In the dotplot of number of employees for each of 142 Home Depot stores, the horizontal line represents ‘Number of employees’.
From dotplot, it can be observed that, the maximum or largest number of employees for one of the store is 105 employees. Also, the minimum or smallest number of employees for one of the store is 79 employees.
Hence, the maximum numbers of employees per store is 105 employees and the minimum numbers of employees per store is 79 employees.
(b)
To determine
Find the number of stores that employ 91 people.
(b)
Expert Solution
Answer to Problem 1.1SR
The number of stores that employ 91 people is 15 stores.
Explanation of Solution
In the dotplot of number of employees, count the number of dots corresponding to 91 employees on the horizontal line. The number of dots corresponding to 91 employees is 15.
Hence, the number of stores that employ 91 people is 15 stores.
(c)
To determine
Identify around what values the number of employees per store tends to cluster.
(c)
Expert Solution
Answer to Problem 1.1SR
The values around which the number of employees per store tends to cluster are 88 employees to 97 employees.
Explanation of Solution
From dotplot, it can be observed that, most of the stores have about 88 to 97 employees. The ‘number of employees for each store’ is clustered around the values 88 to 97, because approximately 75% of the stores are covered under this
Hence, the values around which the number of employees per store tends to cluster are 88 employees to 97 employees.
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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
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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
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5
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
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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 4 Solutions
Statistical Techniques in Business and Economics, 16th Edition
Ch. 4 - Prob. 1.1SRCh. 4 - Prob. 1.2SRCh. 4 - Describe the differences between a histogram and a...Ch. 4 - Prob. 2ECh. 4 - Consider the following chart. a. What is this...Ch. 4 - Prob. 4ECh. 4 - Prob. 5ECh. 4 - Prob. 6ECh. 4 - The following stem-and-leaf chart from the Minitab...Ch. 4 - Prob. 8E
Ch. 4 - Prob. 9ECh. 4 - Prob. 10ECh. 4 - Prob. 2SRCh. 4 - Prob. 11ECh. 4 - Prob. 12ECh. 4 - Prob. 13ECh. 4 - Kevin Horn is the national sales manager for...Ch. 4 - The following box plot shows the assets in...Ch. 4 - Prob. 15ECh. 4 - The box plot shows the undergraduate in-state...Ch. 4 - Prob. 17ECh. 4 - A sample of 28 time shares in the Orlando,...Ch. 4 - Prob. 4SRCh. 4 - Prob. 19ECh. 4 - Prob. 20ECh. 4 - Prob. 21ECh. 4 - Prob. 22ECh. 4 - Prob. 5SRCh. 4 - Prob. 23ECh. 4 - Prob. 24ECh. 4 - Prob. 25ECh. 4 - Ski Resorts of Vermont Inc. is considering a...Ch. 4 - Prob. 27CECh. 4 - Prob. 28CECh. 4 - Prob. 29CECh. 4 - Prob. 30CECh. 4 - Prob. 31CECh. 4 - Prob. 32CECh. 4 - Prob. 33CECh. 4 - Prob. 34CECh. 4 - Prob. 35CECh. 4 - Prob. 36CECh. 4 - Prob. 37CECh. 4 - Prob. 38CECh. 4 - Prob. 39CECh. 4 - Prob. 40CECh. 4 - Prob. 41CECh. 4 - Prob. 42CECh. 4 - Prob. 43CECh. 4 - Prob. 44DECh. 4 - Prob. 45DECh. 4 - Prob. 46DECh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - A. Century National Bank The following case will...Ch. 4 - A. Century National Bank The following case will...Ch. 4 - Prob. 3CCh. 4 - The science of collecting, organizing, presenting,...Ch. 4 - Methods of organizing, summarizing, and presenting...Ch. 4 - Prob. 1.3PTCh. 4 - List the two types of variables.Ch. 4 - Prob. 1.5PTCh. 4 - The jersey numbers of Major League Baseball...Ch. 4 - Prob. 1.7PTCh. 4 - Prob. 1.8PTCh. 4 - Prob. 1.9PTCh. 4 - Prob. 1.10PTCh. 4 - Prob. 1.11PTCh. 4 - Prob. 1.12PTCh. 4 - Prob. 1.13PTCh. 4 - Prob. 2.1PTCh. 4 - Prob. 2.2PTCh. 4 - Prob. 2.3PTCh. 4 - Prob. 2.4PTCh. 4 - Prob. 2.5PT
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