You need to purchase a battery for your car. There are two types available. Type A has a mean life of five years and a standard deviation of one year. Type B has a mean life of five years and a standard deviation of one month. Both batteries cost the same. Which one should you purchase if you are concerned that your car will always start?

Question

Mathematics

Luke Golden

26 November, 16:19

You need to purchase a battery for your car. There are two types available. Type A has a mean life of five years and a standard deviation of one year. Type B has a mean life of five years and a standard deviation of one month. Both batteries cost the same. Which one should you purchase if you are concerned that your car will always start?

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Answers (1)

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Helen Hanna · Answer 1

Type B

Step-by-step explanation:

For my car to always start i will go for Type B because it has a lesser standard deviation and statistically the lesser the standard deviation the closer it is to the mean, therefore with a mean of 5 years, a lesser standard deviation of one month gives me a higher chance that my car will start always than that of one year.