Question: Refer to Exercise 7.12. (a) Obtain the maximum likelihood estimates of (mu) and (sigma). (b) Find the maximum likelihood of the probability that the next

Refer to Exercise 7.12.

(a) Obtain the maximum likelihood estimates of $\mu$ and $\sigma$.

(b) Find the maximum likelihood of the probability that the next run will have a production greater than 38 liters.

Data From Exercise 7.12

7.12 An effective way to tap rubber is to cut a panel

7.12 An effective way to tap rubber is to cut a panel in the rubber tree's bark in vertical spirals. In a pilot process, an engineer measures the output of latex from such cuts. Eight cuts on different trees produced latex (in liters) in a week 26.8 32.5 29.7 24.6 31.5 39.8 26.5 19.9 What can the engineer assert with 99% confidence about the maximum error if she uses the sample mean to estimate true mean yield?

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