Minitab CI and Hypothesis Tests for a Single

Minitab CI and Hypothesis Tests for a Single Mean • If the data is continuous, we use the t distribution unless σ is known. This is acceptable for large samples since T(n) Z as n ∞. • We can use Options to select Ø One or two sided hypothesis test and/or CI Ø Confidence level, 1 - α week 10 1

Minitab CI and Tests for a Single Proportion • By default Minitab will test H 0: θ = 0. 5, unless otherwise specified. • We can use Options to select Ø Null hypothesis value for θ. Ø One or two sided hypothesis test and/or CI Ø Confidence level, 1 - α Ø To use the CLT and the normal distribution in the test and CI. If you do not select this, Minitab will use an exact method that is not covered in this class. week 10 2

Minitab Power Calculations for a Single Mean • We can use Minitab to calculate the power of the t test against a specific alternative value. For this we need to specify the difference between the null and the alternative values. • Also, we can use Minitab to calculate the required sample size for attaining a specific power. • We can use Options to select Ø One or two sided hypothesis test and/or CI Ø Significant level, α week 10 3

Minitab Power Calculations for a Single Proportion • We can use Minitab to calculate the power of the Z test for single proportion against a specific alternative value. • Also, we can use Minitab to calculate the required sample size for attaining a specific power. • We can use Options to select Ø One or two sided hypothesis test and/or CI Ø Significant level, α week 10 4