BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose we have good reason to believe that μ is less than 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard deviation of the lifetimes is 750 hours. Based on this information, complete the parts below. (A)What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0 = H1 = (B) Suppose that we decide not to reject the null hypothesis. What sort of error of might we be making? A. type I ; B. type II (C) A Type II error would be ____"1"____ the hypothesis that u is _____"2"______ _____"3"______ when, in fact, is ____"4"____. "1" OPTIONS : A. Rejecting B. Failing to reject "2" OPTIONS : A. < B. ≤ C. > D. ≥ E. ≠ F. = "3" OPTIONS : A. 750 B. 2800 C. 2620 "4" OPTIONS : A. = 750 B. = 2800 C. < 750 D. < 2500 E. > 2620 F. > 2800
FIFTEEN
BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose we have good reason to believe that μ is less than 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard
deviation of the lifetimes is 750 hours.
Based on this information, complete the parts below.
(A)What are the null hypothesis H0 and the alternative hypothesis H1 that should
be used for the test?
H0 =
H1 =
(B) Suppose that we decide not to reject the null hypothesis. What sort of error of
might we be making?
A. type I ; B. type II
(C) A Type II error would be ____"1"____ the hypothesis that u is _____"2"______ _____"3"______ when, in fact, is ____"4"____.
"1" OPTIONS : A. Rejecting B. Failing to reject
"2" OPTIONS : A. < B. ≤ C. > D. ≥ E. ≠ F. =
"3" OPTIONS : A. 750 B. 2800 C. 2620
"4" OPTIONS : A. = 750 B. = 2800 C. < 750 D. < 2500 E. > 2620 F. > 2800
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