A manufacturer claims that a gallon of his paint will cover more than 600 ft2• We assume that the number of square feet covered by a gallon of this paint to be a random variable X - N(µ,cr2 )....

A manufacturer claims that a gallon of his paint will cover more

than 600 ft2• We assume that the number of square feet covered

by a gallon of this paint to be a random variable X - N(µ,cr2 ).

Assuming cr2 is known, state the null and alternative hypotheses

in terms of µ. The hypotheses should be stated so that the

burden of proof falls on the manufacturer.