The mean finish time for a yearly amateur auto race was 185.91 minutes with a standard deviation of 0,382 minute, The winning car, driven by Ted, finished in 185.08 minutes. The previous year's race had a mean fin 110 9 with a standard deviation of 0.137 minute. The winning car that year, driven by Julie, finished in 110,49 minutes, Find their respective z-scores. Who had the more convincing victory? Ted had a finish time with a z-score of Julie had a finish time with a z-score of (Round to two decimal places as needed.) Which driver had a more convincing victory? O A. Ted a more convincing victory because of a higher z-score. O B. Julie had a more convincing victory because of a higher z-score OC. Julie had a more convincing victory because of a lower z-score. O D. Ted a more convincing victory because of a lower z-score. Question Viewer Click to select your answer(s). 10:13 AM O Type here to search S/6/2021
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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The mean finish time for a yearly amateur auto race was 185.91 minutes with a standard deviation of 0.382 minute. The winning car, driven by Ted, finished in 185.08 minutes. The previous year's race had a mean finishing time of
110.9 with a standard deviation of 0.137 minute. The winning car that year, driven by Julie, finished in 110 49 minutes. Find their respective z-scores. Who had the more convincing victory?
Ted had a finish time with a z-score of
Julie had a finish time with a z-score of
(Round to two decimal places as needed.)
Which driver had a more convincing victory?
O A. Ted a more convincing victory because of a higher z-score.
O B. Julie had a more convincing victory because of a higher z-score.
O C. Julie had a more convincing victory because of a lower z-score.
O D. Ted a more convincing victory because of a lower z-score.
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