8. 3/4 points I Previous Answers My Notes Ask Your Teache A census was done on a

Question

8. 3/4 points I Previous Answers My Notes Ask Your Teache A census was done on a population of college students. The fastest speed ever driven was measured on every individual in the population. The average was 107 mph with a standard deviation of 18 mph. A random sample of 41 students was selected from this population. The mean and standard deviation calculated from this data are 108.6 and 16.6. Below is a plot from the census ofthe population. Below this is a histogram of the data from the sample of 41 students. The actual data values are given to the right. sing this, answer the following questions. Plot of all population values astest 80 110 85 110 90 110 190 110 95 120 70 90 110 130 150 170 190 Plot of data shown right 102 125 104 127 105 130 105 145 70 90 110 130 150 170 190

Explanation / Answer

Solution:

The probability that the mean of this sample is greater than 110 is

=(107-110)/2.81

= -1.0676 ~ 1.07 (Z-score)

=> 0.1423

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