Question

Sample mean = 10, sample standard deviation = 25, and n = 8

You are to construct an interval estimate for the population
mean with 95% level of confidence. What is the critical value?

Answer 1

The critical value for a 95% confidence level is 1.96. The confidence interval is approximately (1.06, 18.94).

Step-by-step explanation:

The critical value for a 95% confidence level is 1.96.

To construct a confidence interval, we use the formula:
CI = (sample mean) ± (critical value) * (sample standard deviation / sqrt(n))

Plugging in the given values, we get:
CI = 10 ± 1.96 * (25 / sqrt(8))

Simplifying the expression, we find that the confidence interval is approximately (1.06, 18.94).