Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 2.1, Problem 14P
a.
To determine
Find the distribution in which most data fall below 20.5.
b.
To determine
Find the distribution in which most data fall below 40.5.
c.
To determine
Find the distribution in which the amount of data below 20.5 and the amount of data above 30.5 are almost similar.
d.
To determine
Identify the distribution as skewed right, skewed left, and mound shaped.
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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 2 Solutions
Understandable Statistics: Concepts and Methods
Ch. 2.1 - Statistical Literacy What is the difference...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Prob. 4PCh. 2.1 - Basic Computation: Class Limits A data set with...Ch. 2.1 - Prob. 6PCh. 2.1 - Interpretation You are manager of a specialty...Ch. 2.1 - Prob. 8PCh. 2.1 - Critical Thinking Look at the histogram in Figure...Ch. 2.1 - Critical Thinking The following data represent...
Ch. 2.1 - Interpretation Histograms of random sample data...Ch. 2.1 - Prob. 12PCh. 2.1 - Interpretation The ogives shown are based on U.S....Ch. 2.1 - Prob. 14PCh. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - Prob. 18PCh. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - Prob. 20PCh. 2.1 - Expand Your Knowledge: Decimal Data The following...Ch. 2.1 - Decimal Data: Batting Averages The following data...Ch. 2.1 - Expand Your Knowledge: Dotplot Another display...Ch. 2.1 - Prob. 24PCh. 2.1 - Dotplot: Tumor Recurrence Make a dotplot for the...Ch. 2.2 - Interpretation Consider graph (a) of Reasons...Ch. 2.2 - Reasons People Like Texting on Cell Phones (b)...Ch. 2.2 - Critical Thinking A personnel office is gathering...Ch. 2.2 - Prob. 4PCh. 2.2 - Education: Does College Pay Off? It is costly in...Ch. 2.2 - Prob. 6PCh. 2.2 - Commercial Fishing: Gulf of Alaska Its not an easy...Ch. 2.2 - Prob. 8PCh. 2.2 - Lifestyle: Hide the Mess! A survey of 1000 adults...Ch. 2.2 - Prob. 10PCh. 2.2 - FBI Report: Hawaii In the Aloha state, you are...Ch. 2.2 - Prob. 12PCh. 2.2 - Prob. 13PCh. 2.2 - Prob. 14PCh. 2.2 - Prob. 15PCh. 2.2 - Prob. 16PCh. 2.3 - Cowboys: Longevity How long did real cowboys live?...Ch. 2.3 - Ecology: Habitat Wetlands offer a diversity of...Ch. 2.3 - Health Care: Hospitals The American Medical...Ch. 2.3 - Health Care: Hospitals Using the number of...Ch. 2.3 - Expand Your Knowledge: Split Stem The Boston...Ch. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Prob. 9PCh. 2.3 - Prob. 10PCh. 2 - Prob. 1CRPCh. 2 - Critical Thinking A consumer interest group is...Ch. 2 - Prob. 3CRPCh. 2 - Prob. 4CRPCh. 2 - Prob. 5CRPCh. 2 - Prob. 6CRPCh. 2 - Prob. 7CRPCh. 2 - Prob. 8CRPCh. 2 - Prob. 9CRPCh. 2 - Prob. 10CRPCh. 2 - Prob. 11CRPCh. 2 - Prob. 12CRPCh. 2 - Prob. 1DHCh. 2 - Prob. 2DHCh. 2 - In your own words, explain the differences among...Ch. 2 - What do we mean when we say a histogram is skewed...Ch. 2 - Discuss the statement that stem-and-leaf displays...Ch. 2 - Prob. 1UTCh. 2 - Prob. 2UTCh. 2 - Prob. 3UT
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