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13)Your company manufactures hot water heaters. The life spans of your product are known to be...

13)Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of 13 years and a standard deviation of 1.5 years.

What is the probability that the mean life span in a group of 10 randomly selected hot water heaters is between 12 and 15 years? (Round to the nearest ten-thousandth.)

14) Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of 13 years and a standard deviation of 1.5 years. You want to set the warranty on your product so that you have to replace at most 5% of the hot water heaters that you sell. How many years should you claim on your warranty? Hint: Calculate the fifth percentile. (Round to the nearest hundredth.)Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of 13 years and a standard deviation of 1.5 years. You want to set the warranty on your product so that you have to replace at most 5% of the hot water heaters that you sell. How many years should you claim on your warranty? Hint: Calculate the fifth percentile. (Round to the nearest hundredth.)

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