A microwave oven repairer says that the mean repaircostfordamaged microwave oven
ID: 2955465 • Letter: A
Question
A microwave oven repairer says that the mean repaircostfordamaged microwave ovens is less
than $ 110. You work for the repairer and want to testthisclaim.You find that a random sample of
five microwave ovens has a mean repair cost of $ 123andastandard deviation of $ 12.00. At
a = 0.05, do you have enough evidence to supporttherepairer'sclaim? Assume the population is
normally distributed.
(a) Write the claim mathematically and identify HQ and Hg.
Which of the following correctly states HQ and Ha?
0'Ho:^110 0Ho:u=110
Ha:p,>110 Ha:^110
0@ Ho:^110 0'Ho:n>ll0
Ha:U<110 Ha:U^110
0" Ho:u=ll0
Ha:U<110
0' Ho: H-110
Ha:U>110
(b) Find the critical value(s) and identifytherejectionregion(s).
What is(are) the critical value(s), to?
To=
(Use a comma to separate answers as needed. Round tothreedecimalplaces as needed.)
Which of the following graphs best depicts therejectionregionfor this problem?
0' 0@ 0"
0^ ^O0^0 ^00
(c) Find the standardized test statistic.
t == |_| (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to rejectthenullhypothesis.
0” Reject Ho because the test statistic is notintherejection region.
0 Fail to reject Ho because the test statistic is intherejectionregion.
0 Fail to reject Ho because the test statistic is notintherejection region.
0 Reject HO because the test statistic is intherejectionregion.
Page23 (e)Interpretthe decision in the context of the original claim.
(cont.) QA There isnotsufficientevidence to support the claim that the mean repaircostisgreater
than or equal to $110.
Cy There is not sufficient evidence to support the claimthatthemean repair cost is less than
$110.
Cy There is sufficient evidence to support the claim thatthemeanrepair cost is less than $110.
0" There is sufficient evidence to support the claimthatthemean repair cost is greater than or
A microwave oven repairer says that the mean repaircostfordamaged microwave ovens is less
than $ 110. You work for the repairer and want to testthisclaim.You find that a random sample of
five microwave ovens has a mean repair cost of $ 123andastandard deviation of $ 12.00. At
a = 0.05, do you have enough evidence to supporttherepairer'sclaim? Assume the population is
normally distributed.
(a) Write the claim mathematically and identify HQ and Hg.
Explanation / Answer
Critical value = -1.645
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