Question

A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selected nine students. Their average age was 19.1 years with a sample standard deviation of 1.5 years. What is the best point estimate for the population mean? A. 1.5 years B. 19.1 years C. 9 years D. 2.1 years

Answer 1

Option B) 19.1 years

Explanation:

We are given the following in the question:

Sample size, n = 9

Sample mean,
`\bar{x}` = 19.1 years

Alpha, α = 0.05

Population standard deviation, σ = 1.5 years

We have to approximate best point estimate for population mean.

The best point estimate for population mean is the sample mean.

Thus, we can write

`\mu = \bar{x} = 19.1`

Thus, the correct answer is

Option B) 19.1 years