Probability Calculation
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The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes. A random sample of 16 cars is selected. What is the probability that the sample mean will be between 39 and 48 minutes?
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Solution Summary
The solution calculates probability that the sample mean lies between certain values.
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Mean = 45
Standard Deviation of Population = 10 minutes
Sample Size = 16
We know the formula:
Std. Dev. Of Sample Means = Std. Dev of Population / Sqrt(n)
= 10 / sqrt(16)
= 10/4
...
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