Question

Which of the following critical values is appropriate for a 98% confidence level where n = 7, σ = 27, and the population appears to be normally distributed?

a. zα/₂=2.33
b. tα/₂=1.96
c. tα/₂=2.575
d. zα/₂=2.06

Answer 1

The appropriate critical value for a 98% confidence level is tα/₂=2.575.

Step-by-step explanation:

The appropriate critical value for a 98% confidence level can be determined using the t-distribution.

Since the sample size is small (n = 7) and the population appears to be normally distributed, we use the t-distribution instead of the standard normal distribution.

Referring to the provided information, the critical value for a 98% confidence level with 6 degrees of freedom is tα/₂=2.575.