1. Use this scenario to answer the following questions.
   

Colored Wax & Co. sells candles with a mean burn time of 50 minutes. The company

wants to test its candles' burn time against a competitor's candles. Researchers from

Colored Wax & Co. randomly select 25 candles from its competitor for testing. From

previous research, the staff of Colored Wax & Co. knows that σ = 12.5 .

AColored Wax & Co. wants to test a two-sided alternative hypothesis with α =

.05. What are the null and alternative hypotheses for this test?

BWhat's the probability of a Type I error in this test?

CDescribe a Type I error for H0 : µ = 50.

DWhat is the rejection region (for what values of x will H0 be rejected) for

H0 : µ = 50?

EDescribe a Type II error for H0 : µ = 50.

F. Suppose the mean burn time is actually 53 minutes. Find the possibility of a

Type II error (β) and the power of the test.