Suppose the life length (in years) of a memory chip in a mainframe computer has a Weibull failure time distribution. To estimate the Weibull parameters, α and β, 50 chips were placed on test and the number of survivors was recorded at the end of each year, for a period of 8 years. The data are shown in the accompanying table.

a. Use the method of least squares to derive estimates of α and β.

b. Construct a 95% confidence interval for α.

c. Construct a 95% confidence interval for β.

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МЕМСHIP Year 1 2 4 5 6 7 8 Number of Survivors 47 39 29 18 11 5 3 1 3.