Two Statistical Exercises
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, STATISTICS 2
Week 6 Activity
Sampling Distribution
A computer scanner can read a bar code on a package correctly 97% of the time. One company
monitors the accuracy of the scanner by randomly sampling packages and verifying that each
package has been correctly scanned. Random samples of size n = 25, 50, 100, and 200 have
recently been taken with the following results.
Sample Size, nNumber Correctly Scanned
25 24
50 49
100 95
200 193
To complete this activity, use Excel to:
1. Calculate the sample proportion for each sample size.
X
By definition, the sample proportion formula is given as, p = , where X is the number correctly
n
scanned and n is the sample size.
Number
Sample size correctly Sample proportion
(n) scanned (X) (p = X/n)
25 24 0.96
50 49 0.98
100 95 0.95
200 193 0.965