Statistics

Question

Assume that the data has a normal distribution, n = 45 and that σ is known. Find the appropriate critical value used to test a null hypothesis about a mean with α = 0.05 for a right-tailed test.

Answer 1

Hello Sapphire! The important distinction here is to identify that this a T distribution because it's a hypothesis test for a mean. So, using the TI 84 I used InvT(.025, 44) to get a critical value of 2.015 for a right tailed test. The .025 is the alphal level divided by 2 or area in the calculator and the 44 is the degrees of freedom (n - 1) for this distribution. I hope that helped.

Have a good one now,

Dr. Peoples