(b) A light bulb manufacturer requires no more than 10% defective light bulbs if the manufacturing...

(b) A light bulb manufacturer requires no more than 10% defective light bulbs if the manufacturing process is to be considered working.

Assuming the manufacturing process is producing only 10% defectives, what is the probability that a sample of 20 randomly selected light bulbs will contain exactly 2 defective light bulbs?

Suppose the reliability of the manufacturing process is unknown. In a random sample of 10 light bulbs 5 defectives are found. Based on this result, the manufacturer wants to determine the reliability of the manufacturing process. State the null and alternative hypotheses of this situation.

(1 mark)

If the manufacturing process was declared not to be working properly based on the sample result in part (ii) when the process is indeed working, explain what type of error would it be?

Calculate the probability of the error described in part (iii).

Can you use normal approximation to calculate the probability values in question (b) (i) and (iv)? Why/Why not?

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Expert Solution

orchestra answered 1 year ago

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