True or False? Consider a two-sided hypothesis test on the mean of a normal population with variance of 25 and hypothesized value μ 0 = 10 at α=0.05, if sample mean of a random sample of size 9 turns...

True or False?

Consider a two-sided hypothesis test on the mean of a normal population with variance of 25 and hypothesized value μ₀ = 10 at α=0.05, if sample mean of a random sample of size 9 turns out to be 8.5, then the P-value is 2(1 - Φ(0.9) ).

True or False?

To obtain maximum likelihood estimator of an unknown parameter, one has to take derivative of natural logarithm of the likelihood function.