Answer to Question #84602 in Statistics and Probability for Bob

Question #84602

We would like to estimate the true mean weight of a certain breed of cats. Suppose it is known that weights follow a normal distribution with standard deviation 5.5 pounds.

a. What sample size is required to estimate the true mean weight to within 4 pounds with 94% confidence?

It is calculated that, in order to estimate the true mean weight of a different breed of cats (that is, σ = 5.5 no longer applies) to within 4 pounds with 95% confidence, we would need a sample of 50 cats.

b.How many cats would we need to sample in order to estimate the true mean weight to within 3 pounds with 95% confidence?

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