Repeat parts (a)-(c) of Exercise 9.195 for a sample size of 40. Compare your power curves for the two sample sizes, and explain the principle being illustrated.
Refer to 9.195,
The null and alternative hypotheses obtained in Exercise 9.19 on page 375 are, respectively,
H0: μ = 16.7 months
Ha: μ = 16.7 months,
Where μ is the mean length of imprisonment for motor-vehicle-theft offenders in Sydney, Australia.
i. σ = 6.0
ii. α = 0.05
iii. n = 100
iv. μa = 14.0, 14.5, 15.0, 15.5, 16.0, 16.5, 17.0, 17.5, 18.0, 18.5, 19.0