A Cooler Bag Producing Company Claims That Their Coolers Keep

Multiple Choice

A cooler bag producing company claims that their coolers keep products cold for 12 hours. A test of hypotheses H₀: µ = 12 versus Ha: µ < 12 is based on a sample of size n = 33. Suppose that σ is known to be 0.6 and a significance level of 0.05 will be used. Determine the power of the test and interpret the result when µ = 11.75.

A) The power of the test is 0.23, which means that 23% of the samples will result in a conclusion to reject H₀: µ = 12 when the true µ is 11.75.
B) The power of the test is 0.01, which means that 1% of the samples will result in a conclusion to reject H₀: µ = 12 when the true µ is 11.75.
C) The power of the test is 0.77, which means that 77% of the samples will result in a conclusion to reject H₀: µ = 12 when the true µ is 11.75.
D) The power of the test is 0.99, which means that 99% of the samples will result in a conclusion to reject H₀: µ = 12 when the true µ is 11.75.
E) The power of the test is 0.67, which means that 67% of the samples will result in a conclusion to reject H₀: µ = 12 when the true µ is 11.75.