Question

Determine whether the given conditions justify using the margin of error E = zα/2 σ/ when finding a confidence interval estimate of the population mean μ. The sample size is n = 4, σ = 12.7, and the original population is normally distributed.

A) No
B) Yes

Answer 1

The conditions justify using the margin of error formula to find a confidence interval estimate of the population mean.

Step-by-step explanation:

To determine whether the given conditions justify using the margin of error E = zα/2 σ/ when finding a confidence interval estimate of the population mean μ, we need to consider the sample size, the population standard deviation, and the distribution of the original population.

In this case, the sample size is n = 4, σ = 12.7, and the original population is normally distributed. The formula for the margin of error is E = zα/2 σ/ and we can use it since all the conditions are satisfied. Therefore, the answer is B) Yes.