The discussion focuses on hypothesis testing for a normal distribution N(μ, σ²=40), specifically testing H0: μ=32 against H1: μ>32. The objective is to determine the sample size n and the critical constant c such that the operating characteristic (OC) for μ=32 equals 0.90 and for μ=35 equals 0.15. Participants express difficulty in identifying the appropriate equations and methodologies to solve this problem, indicating a lack of clarity on how to apply theoretical knowledge from textbooks to practical scenarios.
PREREQUISITESStudents in statistics or data science, educators teaching hypothesis testing, and researchers needing to understand sample size determination in hypothesis testing scenarios.
XodoX said:Homework Statement
Consider N(μ, σ2=40) distribution. To test H0:=32 against H1:μ>32, we reject H0if the sample mean [itex]\overline{X}[/itex]≥c. Find the sample size n and the constant c such that OC(μ=32)=0.90 AND OC(μ=35)=0.15.
Homework Equations
What I don't know
The Attempt at a Solution
Can't figure out how to do this one.
Ray Vickson said:Show your work. Tell us why you cannot just use the material from the textbook or the course notes to get started with this problem.
RGV