In making plastics a colourless gas is used and some will leak into the air. The manufacturer has given instructions to halt production if the mean (average ) amount of this gas in the area exceeds 3.0 parts per million (ppm). Every day the safety manager plans to select a large sample n=50 air specimens and to perform a one tailed test Ha µ 3 at significance level α = 0.01. Determine the lower limit of the rejection region of this test. Give your answer to 2 decimal places

Question

In making plastics a colourless gas is used and some will leak into the air.  The manufacturer has given instructions to halt production if the mean (average ) amount of this gas in the area exceeds 3.0 parts per million (ppm).  Every day the safety manager plans to select a large sample n=50 air specimens and to perform a one tailed test Ha µ > 3 at significance level α = 0.01.  Determine the lower limit of the rejection region of this test.  Give your answer to 2 decimal places