1B Hypothesis Testing using t-test
A random sample of size 12 is drawn from a normal population with mean μ and unknown variance σ2. Then under H0 : μ = 15, the test statistic (x̄ - 15)/(s/√12) where s2 is the sample mean square and x̄ is the sample mean follows
Suppose x1, x2,...,x10 is a random sample from normal distribution with mean μ and known variance σ2 (of size 10) then under H0 : μ = 4, the test statistic (x̄ - 4)/(σ/√10) follows
Let x1,x2,...,x9 be a random sample from a normal population with mean μ and unknown variance σ2. For testing H0 : μ = 16 vs H1 : μ ≠ 16 at level of significance α, the critical regiion is given by