A manufacturer of wood flooring wants to estimate the mean number of defective floor planks in each box of wood flooring. For a random sample of 12 boxes of planks, find the number of defective planks in each box, as given in Table 4.10.

a. Find and interpret a \(98 \%\) confidence interval for the mean number of defective planks (use the normal approximation and an exact method for a one-sample Poisson and compare the difference).

b. Estimate if the mean number of defects per box is more than 1 .

c. How many boxes would you need to sample to be able to find an average of at least 1 defective plank per box?

Table 4.10

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Number of Defects Found in a Random Sample of 12 Boxes of Planks 1 0 1 0 1 2 0 2 3 1 0