Question

For a confidence level of 98%, find the critical value for a normally distributed variable. The sample mean is normally distributed if the population standard deviation is known.

Answer 1

Using Z table we get critical value.

given confidence level c = 0.98

So we have to find critical Zc such that

P(Z < Zc) = 0.99

Using Z table we get,

P(Z < 2.33) = 0.9901 that is approximately 0.99

So critical value Zc = 2.33

Critical value = 2.33