A company that sells boxes of screws claims that a box of its screws contains on average 50 screws (μ = 50). Figure 3.10 shows a distribution of sample means collected from many simulated random samples of size 10 boxes.

Figure 3.10

(a) For a random sample of 10 boxes, is it unlikely that the sample mean will be more than 2 screws different from μ? What about more than 5? 10?
(b) If you bought a random sample of 10 boxes at the hardware store and the mean number of screws per box was 42, would you conclude that the company€™s claim (μ = 50) is likely to be incorrect?
(c) If you bought a random box at the hardware store and it only contained 42 screws, would you conclude that the company€™s claim is likely to be incorrect?

Transcribed Image Text:

46 48 50 52 54 Mean Number of Screws O 50