Essential Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781506386300
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 6, Problem 1FP
To determine
To explain what is sampling distribution.
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Explanation of Solution
The sampling distribution is a distribution of a sample statistic. When using a procedure that repeatedly samples from a population and each time computes the same sample statistic, the resulting distribution of sample statistics is a sampling distribution of that statistic. Thus, simply we can say that, sampling distribution is a graph of a statistic for your sample data. For example, if we calculate sample
The sampling distribution has a mean and standard deviation. The standard deviation of the sampling distribution is called as standard error. The key points for identifying the sampling distribution are that, if many samples are repeatedly taken for the same subjects in the population, then the distribution of the samples represent sampling distribution and if only one sample is taken for the same subjects in the population, then the distribution of the sample is not a sampling distribution.
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Calculate the 90% confidence interval for the population mean difference using the data in the attached image. I need to see where I went wrong.
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
Chapter 6 Solutions
Essential Statistics for the Behavioral Sciences
Ch. 6 - Prob. 1FPCh. 6 - Prob. 2FPCh. 6 - Prob. 3FPCh. 6 - Prob. 4FPCh. 6 - Prob. 5FPCh. 6 - Prob. 6FPCh. 6 - Prob. 7FPCh. 6 - Prob. 8FPCh. 6 - Prob. 9FPCh. 6 - Prob. 10FP
Ch. 6 - Prob. 11FPCh. 6 - Prob. 12FPCh. 6 - Prob. 13CAPCh. 6 - Prob. 14CAPCh. 6 - Prob. 15CAPCh. 6 - Prob. 16CAPCh. 6 - Prob. 17CAPCh. 6 - Prob. 18CAPCh. 6 - Prob. 19CAPCh. 6 - Prob. 20CAPCh. 6 - Prob. 21CAPCh. 6 - Prob. 22CAPCh. 6 - Prob. 23CAPCh. 6 - Prob. 24CAPCh. 6 - Prob. 25CAPCh. 6 - Prob. 26CAPCh. 6 - Prob. 27PRCh. 6 - Prob. 28PRCh. 6 - Prob. 29PRCh. 6 - Prob. 30PRCh. 6 - Prob. 31PRCh. 6 - Prob. 32PR
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