When constructing confidence intervals for population mean with population distribution that is normal we can disregard the following assumptions. Choose all that apply.

Question

Group of answer choices

sample is a simple random sample

sample size is more than 30

Answer 1

When constructing confidence intervals for the population mean with a normally distributed population, you can disregard the following assumptions:

1. Sample size is more than 30: This assumption is not necessary if the population from which the sample is drawn is normally distributed. The central limit theorem applies to large sample sizes, but for a normally distributed population, you can construct confidence intervals accurately regardless of the sample size.

However, you cannot disregard the assumption that:

2. Sample is a simple random sample: This assumption is important because it ensures that the sample is representative of the population, which is crucial for making valid inferences about the population mean.

So, the correct choice is:

• Sample size is more than 30. (This can be disregarded if the population distribution is normal.)