Statistical Hypothesis Test: one pop

May 2010
1
0
What is the probability of potentially committing a Type II error (rejecting the null, which is that there is at least 64oz) if indeed the actual μ=63.8oz and not 64 oz as the company claims? Label your axes in both X and T-score. Label distribution (drawn based on company's claim with μ=64) as "old paradigm" and another distribution (drawn based on the actual μ=63.8) as "new paradigm". Label the centers for both distributions. Each distribution must have axes both in the units of X and Z or T-score.

necessary info: μ=64oz, n=40, x(bar)=63.7oz, Standard Dev.=2oz

I understand almost all of this... I just dont know how to find the probability of Beta (committing a Type 2 error)

If you need any other info let me know
 

matheagle

MHF Hall of Honor
Feb 2009
2,763
1,146
I never quite understood

Type II error (rejecting the null, which is that there is at least 64oz)
alpha, the probability of the type one error is the probability of rejecting the null assuming that it's true
the type two error is the opposite assuming some value under the alternative hypothesis.