Question

A chemical plant is allowed to dispose a certain amount of waste water into a river. The Environmental Protection Agency (EPA) takes samples of the river water at several locations downstream from the plant. If the plant complies with the EPA regulations, the population mean amount of toxic particles in the water is μ = 50 parts per million (ppm). Each day, the EPA selects 36 water samples and computes the average amount of toxic particles, and then uses this information to determine if they should conclude that the population mean amount of toxic particles is greater than 50 ppm. If so, the owner of the plant will be fined. Use the hypotheses H0: μ ≤ .50 ppm. and Ha: μ > 50 ppm. The EPA informs the manager that they will use α = .025. Given this decision, the manager asks the EPA to increase the number of water samples selected each day to 64. What affect will this increase in sample size have?

Select one:

A. The probability that H0 is true will increase.

B. The probability of a Type I error will move closer to a value of .01.

C. The p-values associated with the test statistics computed each day will be consistently larger.

D. The probability of a Type I error will move closer to a value of .05.

E. The probability of a Type I error will be unchanged.

Answer 1