Question

Assume the life of a tyre in km’s is normally distributed with mean µ and standard...

Assume the life of a tyre in km’s is normally distributed with mean µ
and standard deviation of 5000. To test the hypothesis
H0 : µ = 30000 against H1 : µ = 35000
n independent values of lives of tyres are observed and H0 is rejected
if the average of these exceed c. Determine n and c if the probability
of committing a type I error is 0.01 and the probability of committing
a type II error is 0.02

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