Question
Letudenote the mean lifetime (in hours) for a certain type of battery under controlled laboratory conditions. A test of H 0 :u= 10 versus H
Letudenote the mean lifetime (in hours) for a certain type of battery under controlled laboratory conditions. A test ofH0:u= 10
versusHa:u< 10
will be based on a sample of size 36. Suppose thatuis known to be 0.6, soux= 0.1.
The appropriate test statistic is then
z=x10
0.1
(a)
What is?for the test procedure that rejectsH0
ifz1.25?
(Round your answer to four decimal places.)
u=
(b)
If the test procedure of part (a) is used, calculateuwhenu= 9.8. (Round your answer to four decimal places.)
u=
Interpret this error probability.
This represents the probability the test rejects the null hypothesis whenu= 9.8.
This represents the probability the test does not reject the null hypothesis whenu= 9.8.
This represents the probability the test rejects the null hypothesis whenu= -1.25.
This represents the probability the test rejects the null hypothesis whenu= 10.
This represents the probability the test does not reject the null hypothesis whenu= 10.
(c)
Without doing any calculation, explain howu whenu = 9.5 compares tou whenu= 9.8.
uwhenu= 9.5 would be
---Select---
smaller
larger
than?when?= 9.8.
Check your assertion by calculatinguwhen?= 9.5. (Round your answer to four decimal places.)
?=
(d)
What is the power of the test whenu= 9.8? (Round your answer to four decimal places.)
Whenu= 9.5? (Round your answer to four decimal places.)
You may need to use the appropriate table in theappendixortechnologyto answer this question.
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