Question

A manufacturer is doing a quality control check of the laptops it produces. Out of a random sample of 145 laptops taken off the production line, 6 are defective. Which THREE statements are true?

A
It is not a reasonable estimate that 0.5% of all laptops produced will be defective.

B
It is a reasonable estimate that 4% of all laptops produced are defective.

C
The percentage of defective laptops across additional random samples of 145 laptops is likely to vary greatly.

D
The percentage of defective laptops for a random sample of 290 laptops is likely to be twice as high as that of the original sample.

E
It is not a reasonable estimate that 10% of all laptops produced will be defective.

Answer 1

Answer + Explanation:

A is true. The sample proportion of defective laptops is 6/145, which is approximately 4.14%. To estimate the proportion of defective laptops in the entire production, we would use this sample proportion as an estimate. However, we need to consider the margin of error and confidence interval to determine if 0.5% is a reasonable estimate or not. Without knowing the margin of error or confidence interval, we cannot say for sure whether 0.5% is a reasonable estimate or not.