Suppose that 5% of the screws a company sells are defective. Figure 3.9 shows sample proportions from two sampling distributions:
One shows samples of size 100, and the other shows samples of size 1000.

Figure 3.9

(a) What is the center of both distributions?
(b) What is the approximate minimum and maximum of each distribution?
(c) Give a rough estimate of the standard error in each case.
(d) Suppose you take one more sample in each case. Would a sample proportion of 0.08 (that is, 8% defective in the sample) be reasonably likely from a sample of size 100? Would it be reasonably likely from a sample of size 1000?

Transcribed Image Text:

0.06 0.02 0.00 0.04 0.10 0.12 0.08 Proportlon Defective (n = 100) 0.04 0.06 0.08 0.00 0.02 0.10 0.12 O 200