Given a simple random sample of size n = 18 from a Normal population with mean and standard deviation , we test the hypotheses

,

at the 5% significance level. If is known, and the observed value of the test statistic is 1.77, determine the result of the test.

a More information is required to determine the result of the test

b The test rejects H₀ in favour of H₁

c The test does not reject H₀ in favour of H₁