Question

Test the claim about the population mean mu at the level of significance alpha. Assume the population is normally distributed.

​Claim: u > 25​; alpha = 0.05; sigma=1.2

Sample​ statistics: x overbar=25.3​, n=50

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   = 25

H_a : > 25

Test statistic = z

= ( - ) / / n

= (25.3 - 25) / 1.2 / 50

= 1.77

P(z > 1.77) = 1 - P(z < 1.77) = 0.0384

P-value = 0.0384

= 0.05

P-value <

Reject the null hypothesis .