2) Consumer Reports has done studies that show that the life span of television sets is normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. A new television company guarantees that its televisions will last at least 10 years. Given the report by Consumer Reports, what percentage of televisions do you expect will a. actually last at least that long? Do you think maybe the new company should change their guarantee? Why or why not? b. A second new television company decides to make a guarantee of their own. They base the number of years they'll guarantee the life of their televisions on the Consumer Reports study. They decide to only risk 10% of their televisions failing to meet the guarantee. How long should they make the guarantee for? Feel free to convert your answer into months.

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2) Consumer Reports has done studies that show that the life span of television sets is normally
distributed with a mean of 8.2 years and a standard deviation of 1.1 years.
a.
A new television company guarantees that its televisions will last at least 10 years. Given
the report by Consumer Reports, what percentage of televisions do you expect will
actually last at least that long? Do you think maybe the new company should change
their guarantee? Why or why not?
b. A second new television company decides to make a guarantee of their own. They base
the number of years they'll guarantee the life of their televisions on the Consumer
Reports study. They decide to only risk 10% of their televisions failing to meet the
guarantee. How long should they make the guarantee for? Feel free to convert your
answer into months.
Transcribed Image Text:2) Consumer Reports has done studies that show that the life span of television sets is normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. a. A new television company guarantees that its televisions will last at least 10 years. Given the report by Consumer Reports, what percentage of televisions do you expect will actually last at least that long? Do you think maybe the new company should change their guarantee? Why or why not? b. A second new television company decides to make a guarantee of their own. They base the number of years they'll guarantee the life of their televisions on the Consumer Reports study. They decide to only risk 10% of their televisions failing to meet the guarantee. How long should they make the guarantee for? Feel free to convert your answer into months.
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