Is net wt of corn flake packets still normal (µ=520 gm, σ=10 gm)?
Is a sample mean wt of 529 gm from 10 packets consistent with µ = 520 gm?
Use this diagram to help explain two different concepts:
First repeat the simulation from the introductory section (by clicking Accumulate then repeating the simulation 100-200 times). Then select Normal distribution from the bottom pop-up menu to find the p-value theoretically.
Note that this is a 2-tailed test.
Now select 'Statistical distance' from 520 from the middle pop-up menu and re-examine both the simulation results and the theoretical standard normal distribution that is used to evaluate the p-value.
Explain that the z-score from each simulation measures the number of standard deviations that the mean is from 520 (where the sd is σ/√n).
The data are artificial.