- #1

t.kirschner99

- 18

- 0

## Homework Statement

A random sample of X1, X2, · · · , Xn is taken from a population of values that is modeled by the following probability density function:

f(x

_{i}; β) = e

^{-(xi-β)}, x

_{i}≥β

Suppose we test the hypothesis:

H

_{o}: β = 1 , H

_{A}: β > 1

a) Suppose you are to test the above hypothesis based on a random sample of n = 10 data points and regulating the probability of committing Type I Error to be 0.05. State the values of X

_{min}in that would indicate that β > 1.

## Homework Equations

f(X

_{min};β) = ne

^{-n(Xmin - β)}, X

_{min}≥ β

## The Attempt at a Solution

Getting stuck at the end due to the negative natural log situation that develops... was wondering if anyone would be able to point out the mistake I have made. The scribble at the end there ended up giving me a negative "c" value, which does not make sense as it is less than β.

Thanks!

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