Question

Find the critical value from the Studentized range distribution for H0: μ1 = μ2 = μ3 = μ4 = μ5, with n = 35 at α = 0.01. Provide answer to three decimal places (example, 3.254).

Answer 1

t-value = 2.441

Explanation:

Let's assume that this is a one-tailed test to calculate the critical value, the process is this:

• Calculate alpha (α): α = 1 - (confidence level / 100) , but we already have this α=0.01
• Find the critical probability (p*): p* = 1 - α/2 = 1-0.005=0.995
• Then, the critical value would be shown as a t statistic, but for this we need:

degrees of freedom (df)= n-1=35-1=34

• The critical t statistic (t*) or critical value is the t-value having degrees of freedom equal to 34 and a cumulative probability equal to 0.995.

From the attached table we can see:

t-value = 2.441