Question

A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean peed o 48 miles per our and a standard deviation of 255 miles. What is the sample statistic?

Answer 1

48 miles per hour.

Explanation:

The definition of a sample statistic is "any function of observed data, such as the sample mean, sample variance, etc.".

We are given both the sample mean and the sample variance. But samples exist to be compared to the population.

Since we are given the data that "the mean speed of vehicles is greater than 45 miles per hour", we are told what is happening to the mean, not the standard deviation. So, we will use the mean of the sample of 25 vehicles to state the sample statistic: mean speed of 48 miles per hour.

Hope this helps!