Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Textbook Question
Chapter 4.4, Problem 1LC
a. Sketch a histogram showing the frequency distribution for the following sample of n = 5 scores: 3, 1, 9, 4, 3. Locale the
b. Calculate SS, variance, and standard deviation for this sample. How well does your estimate from part a compare with the real standard deviation?
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
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x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
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Rand No.
0.925957526
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2
ALASKA
0.372999976
4
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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
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F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
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2 ALASKA
0.4493186 OKLAHOMA
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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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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
Essentials of Statistics for the Behavioral Sciences
Ch. 4.3 - Brief explain what is measured by the standard...Ch. 4.3 - The deviation scores are calculated for each...Ch. 4.3 - What is the standard deviation for the following...Ch. 4.3 - Calculate the variance for the following...Ch. 4.3 - Find the sum of the squared deviations, SS, for...Ch. 4.3 - a. Sketch a histogram showing the frequency...Ch. 4.4 - a. Sketch a histogram showing the frequency...Ch. 4.4 - For the following set of scores: 1, 5, 7, 3, 4 a....Ch. 4.4 - Prob. 3LCCh. 4.5 - Explain the difference between a biased and an...
Ch. 4.5 - In a population with a mean of = 50 and a...Ch. 4.5 - A population has a mean of . = 70 and a standard...Ch. 4 - In words, explain what is measured by each of the...Ch. 4 - Can SS ever have a value less than zero? Explain...Ch. 4 - Is it possible to obtain a negative value for the...Ch. 4 - What does it mean for a sample to have a standard...Ch. 4 - Explain why the formula for sample variance is...Ch. 4 - A population has a mean of = 80 and a standard...Ch. 4 - On an exam with a mean of M = 78, you obtain a...Ch. 4 - Calculate the mean and SS (sum of squared...Ch. 4 - For the following population of N = 6 scores: 3 1...Ch. 4 - For the following sample of n = 7 scores: 8 6 5 2...Ch. 4 - For the following population of N = 6 scores: 11 0...Ch. 4 - The range is completely determined by the two...Ch. 4 - A population has a mean of = 30 and a standard...Ch. 4 - a. After 3 points have heen aikicd to every score...Ch. 4 - For the following sample of n = 4 scores: 82, 88,...Ch. 4 - For the following sample of n = 8 scores: 0, 1,...Ch. 4 - For the data in the following sample: 81515 a....Ch. 4 - Calculate the mean and SS (sum of squared...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - In an extensive study involving thousands of...Ch. 4 - Within a population, the difference that exist...Ch. 4 - In the previous problem we noted that the...Ch. 4 - a. What is the general goal for descriptive...
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