A manufacturer of a chemical used in glue, attempting to control the amount of a hazardous chemical its workers are exposed to, has given instructions to halt production if the mean amount in the air exceeds 3.0ppm. A random sample of 50 air specimens produced the following statistics: sample mean = 3.1 ppm, sample standard deviation = 0.5 ppm. Assume measurements are normally distributed.
-The null and alternative hypotheses that would be used to halt production is ______.

Question

Quizplus · Accepted Answer

The null hypothesis should describe the current state of the production process, so it should be that the mean is less than or equal to 3.0 (H₀: μ ≤ 3.0). The alternative hypothesis should describe the situation in which production should be halted, so it should be that the mean is greater than 3.0 (H_a: μ > 3.0). Therefore, the best choice is E.

A Manufacturer of a Chemical Used in Glue, Attempting to Control