According to the U.S. Department of Transportation, people in the age group of 15 to 20 spend an average of 25 minutes driving every day. Assume that You randomly select 50 drivers in this age group and find the sample mean .
Which of the following statements are true about , as random variable?
I. The mean of sample mean (x bar)is equal to the mean of the population.
II. The standard deviation of the sample mean is equal to the population standard deviation divided by square root of the sample size.
III. The shape of the sampling distribution of is approximately normal.
I and II only
I,II, and III
III only
I only
II only
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