A major television manufacturer has determined that its 19-inch color TV picture
ID: 3124543 • Letter: A
Question
A major television manufacturer has determined that its 19-inch color TV picture tubes have a mean service life that can be modeled by a normal distribution with a mean of six years and a standard deviation of one-half year. What service period would achieve an expected wear-out rate of
2 percent? (Round your answer to 2 decimal places.)
5 percent? (Round your answer to 2 decimal places.)
A major television manufacturer has determined that its 19-inch color TV picture tubes have a mean service life that can be modeled by a normal distribution with a mean of six years and a standard deviation of one-half year. What service period would achieve an expected wear-out rate of
Use Table A and Table B.Explanation / Answer
A)
First, we get the z score from the given left tailed area. As
Left tailed area = 0.02
Then, using table or technology,
z = -2.05
As x = u + z * s,
where
u = mean = 6
z = the critical z score = -2.05
s = standard deviation = 0.5
Then
x = critical value = 4.975 [ANSWER]
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b)
First, we get the z score from the given left tailed area. As
Left tailed area = 0.05
Then, using table or technology,
z = -1.64
As x = u + z * s,
where
u = mean = 6
z = the critical z score = -1.64
s = standard deviation = 0.5
Then
x = critical value = 5.18 [ANSWER]
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