Reconsider the oxide thickness data in Exercise 7-35 and

Chapter 7, Problem 54E

(choose chapter or problem)

Reconsider the oxide thickness data in Exercise 7-35 and suppose that it is reasonable to assume that oxide thickness is normally distributed.

(a) Compute the maximum likelihood estimates of \(\mu\) and \(\sigma^{2}\).

(b) Graph the likelihood function in the vicinity of \(\hat{\mu}\) and \(\hat{\sigma}^{2}\), the maximum likelihood estimates, and comment on its shape.

(c) Suppose that the sample size was larger (\(n=40\)) but the maximum likelihood estimates were numerically equal to the values obtained in part (a). Graph the likelihood function for \(n=40\), compare it to the one from part (b), and comment on the effect of the larger sample size.

Equation Transcription:

Text Transcription:

mu

sigma^2

mu hat

sigma hat^2

n=40

n=40