Question

Suppose that you are testing the following hypothesis where the variance is known: H0: µ = 100, H1: µ ≠ 100. Find the P – value for the following values of the test statistic.

(a) Z0 = 2.75,
(b) Z0 = 1.86,
(c) Z0 = -2.05,
(d) Z0 = -1.86

Answer 1

To find the p-value for the given test statistics, use the standard normal distribution table.

Step-by-step explanation:

In order to find the p-value for the given test statistics, we need to use the standard normal distribution table.

(a) Z0 = 2.75: The p-value is 2*(1-0.997 = 0.006.

(b) Z0 = 1.86: The p-value is 2*(0.032 = 0.064.

(c) Z0 = -2.05: The p-value is 2*(0.020 = 0.040.

(d) Z0 = -1.86: The p-value is 2*(0.031 = 0.062.