Question 2
An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 660 days and a standard deviation of 120.5 . BIG Corporation claims that the standard deviation of its electric bulbs is less than . Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis and the alternative hypothesis that we would use for this test.
Based on this information, complete the parts below.
(a) What are the null hypothesis and the alternative hypothesis that should be used for the test?
(b) Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making?
(c) Suppose the true mean shopping time spent by customers at the supermarkets is minutes. Fill in the blanks to describe a Type II error.
A Type II error would be the hypothesis that is when, in fact, is .