Sampling Distribution

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Sampling Distribution

The sample proportion for each sample size.

Sample proportion=X/n

Sample Size (n) Number Correctly Scanned (X) Sample Proportion

25 24 0.96

50 49 0.98

100 95 0.95

200 193 0.965

The single-proportion sampling error for each sample size.

Single-proportion sampling error=√ ((P(1-P))/n)

Sample Size (n) Number Correctly Scanned (X) Sample Proportion Single-proportion sampling error

25 24 0.96 0.039191836

50 49 0.98 0.01979899

100 95 0.95 0.021794495

200 193 0.965 0.012995191

The probability of finding 198 correctly scanned packages, for a sample of size n=200.

Since the computer scanner can read a bar code on a package correctly 97%, p=0.97

Excel formula

=BINOM.DIST(198, 200, 0.97, FALSE)

= 0.043042647

Thus, the probability of finding 198 correctly scanned packages, for a sample of size n=200 is 0.043042647