Question

Find the critical value necessary to form a confidence interval at the level of confidence shown below.

Answer 1

Answer:

the critical value for 0.87 level of confidence is 1.51

Step-by-step explanation:

Given the data in the question;

level of confidence = 0.87

now,

1 - c = 0.87

c = 1 - 0.87

c = 0.13

c/2 = 0.13/2 = 0.065

now

1 - c/2  = 1 - 0.065 = 0.935

so our level of significance ∝ = 0.935

Now, the critical value will be;

$Z_{0.935$ is obtained as follows;

P( Z < z ) = 0.935

so we find the value from ( standard normal distribution table )

P( Z < 1.51 ) = 0.935

Therefore, the critical value for 0.87 level of confidence is 1.51