Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. a.Find the percent of her laps that are completed in less than 131 seconds. (Round your answer to two decimal places.) b. The fastest 4% of her laps are under how many seconds? (Round your answer to two decimal places.) sec c. The middle 80% of her lap times are from__seconds to__seconds.
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.
Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is
a.Find the percent of her laps that are completed in less than 131 seconds. (Round your answer to two decimal places.)
b. The fastest 4% of her laps are under how many seconds? (Round your answer to two decimal places.)
sec
c. The middle 80% of her lap times are from__seconds to__seconds.
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