For any true/false if the statement is true or false explain why. It is impossible to get a z-score of 155. TRUE FALSE A new line of cars has gas mileage represented by a distribution that is approximately normal with a mean of 32 mpg and a standard deviation of 4 mpg. Use the empirical rule to answer the following: a)Approximately what percent of cars get between 24 and 32 mpg? b) Approximately what proportion of cars get between 28 and 40 mpg?
For any true/false if the statement is true or false explain why.
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It is impossible to get a z-score of 155. TRUE FALSE
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A new line of cars has gas mileage represented by a distribution that is approximately normal with a mean of 32 mpg and a standard deviation of 4 mpg. Use the empirical rule to answer the following:
a)Approximately what percent of cars get between 24 and 32 mpg?
b) Approximately what proportion of cars get between 28 and 40 mpg?
1. FALSE
It is possible to get a value of 155. This would mean that the value would be present 155 times standard deviation from the mean. Since it is a high value, there is every chance that the value in question is an outlier.
2. Let X denote the gas mileage.
a). To calculate P[24<X<32]
Therefore, the required percentage is 47.725%.
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