EBK ESSENTIAL STATISTICS FOR THE BEHAVI
2nd Edition
ISBN: 9781506386287
Author: PRIVITERA
Publisher: VST
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Chapter 3, Problem 1FP
To determine
(a)
To write the statistical notation of Population Size.
Expert Solution
Answer to Problem 1FP
Notation for Population Size = N
Explanation of Solution
Population size refers to the number of individuals or observation in population. The Notation for population size is “N”.
For e.g., Population of America is 329,275,423, which means N = 329,275,423.
To determine
(b)
To write the statistical notation of
Expert Solution
Answer to Problem 1FP
Notation for Sample Size = N
Explanation of Solution
Sample size refers to the number of individuals or observation in sample. The Notation for Sample size is “n”.
For e.g., You take a random sample of 100 people then sample size (n) = 100.
To determine
(c)
To write the statistical notation of Population
Expert Solution
Answer to Problem 1FP
Notation for Population Size =
Explanation of Solution
Population mean refers to the average of population which is calculated by dividing the sum of observation of population by the number of observations in the population (Population size).
The notation for Population mean is
For e.g., The population mean height of an adult in America is 174 cm. Therefore,
To determine
(d)
To write the statistical notation of Sample Mean.
Expert Solution
Answer to Problem 1FP
Notation for Sample Size =
Explanation of Solution
Sample mean refers to the average of Sample which is calculated by dividing the sum of observation of Sample by the number of observations in the Sample (Sample size).
The notation for Sample mean is
For e.g., A researcher have randomly selected 100 males in US and the calculated their mean height and found that mean height is 171 cm. Therefore,
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Students have asked these similar questions
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 3 Solutions
EBK ESSENTIAL STATISTICS FOR THE BEHAVI
Ch. 3 - Prob. 1FPCh. 3 - Prob. 2FPCh. 3 - Prob. 3FPCh. 3 - Prob. 4FPCh. 3 - Prob. 5FPCh. 3 - Prob. 6FPCh. 3 - Prob. 7FPCh. 3 - Prob. 8FPCh. 3 - Prob. 9FPCh. 3 - Prob. 10FP
Ch. 3 - Prob. 11CAPCh. 3 - Prob. 12CAPCh. 3 - Prob. 13CAPCh. 3 - Prob. 14CAPCh. 3 - Prob. 15CAPCh. 3 - Prob. 16CAPCh. 3 - Prob. 17CAPCh. 3 - Prob. 18CAPCh. 3 - Prob. 19CAPCh. 3 - Prob. 20CAPCh. 3 - Prob. 21CAPCh. 3 - Prob. 22CAPCh. 3 - Prob. 23CAPCh. 3 - Prob. 24CAPCh. 3 - Prob. 25CAPCh. 3 - Prob. 26CAPCh. 3 - Prob. 27CAPCh. 3 - Prob. 28CAPCh. 3 - Prob. 29PRCh. 3 - Prob. 30PRCh. 3 - Prob. 31PRCh. 3 - Prob. 32PRCh. 3 - Prob. 33PR
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