In: Statistics and Probability
Questions
1)For a test of
H0 : μ = μ0
vs.
H1 : μ ≠ μ0,
the value of the test statistic z obs is -1.34. What is the p-value of the hypothesis test?
2)For a test of
H0 : μ = μ0
vs.
H1 : μ > μ0,
assume that the test statistic follows a t-distribution with 11 degrees of freedom. What is the critical value of the test if a 1% significance level is desired?
3)For a particular scenario, we wish to test the hypothesis H0 : μ = 11.8. For a sample of size 33, the sample mean X̄ is 9.4. The population standard deviation σ is known to be 6.2. Compute the value of the test statistic zobs.