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Question 13 (1 point) It is calculated that, in order to estimate the true mean

ID: 3362110 • Letter: Q

Question

Question 13 (1 point) It is calculated that, in order to estimate the true mean weight of a certain breed of cats to within 5 pounds with 95% confidence, we would need a sample of 200 cats. Weights of this breed of cats are known to follow a normal distribution. How many cats would we need to sample in order to estimate the true mean weight to within 3 pounds with 95% confidence? As you should always do with sample size determination questions, always round up your decimal answer to the next higher whole number. Your Answer: Answer

Explanation / Answer

old margin of error E1 =5

here margin of error E2 =3

as required sample size is inversely proportion to square of margin of error

therefore required sample size =n1*(E1/E2)2 =200*(5/3)2 =~ 556

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