Question

In a test of H₀: μ = 200 against H_a: μ > 200, a sample of n = 120 observations possessed mean = 202 and standard deviation s = 34. Find the p-value for this test. Round your answer to 4 decimal places.

Answer 1

Solution :

This is one tailed test .

The null and alternative hypothesis is ,

H0 :   = 200

Ha : > 200

Test statistic (t)

= ( - ) / s / n

= (202 - 200) / 34 / 120

Test statistic = 0.644

P(z > 0.644) = 1 - P(z < 0.644) = 1 - 0.7402

P-value = 0.2598

answered by: anonymous