Nutritionist Nina decided to work in a gym one summer. She really wanted to use her knowledge of statistics and decided to research the age of people who show up at the station's spinning class. Let us now assume that we know the age distribution of the participants in the spinning classes and that it follows the normal distribution with an average of 30 years and a standard deviation of 3 years. Questions 1-3 deal with participants in spinning classes. 1. What is the probability that a randomly selected spinner participant is over 33 years old? 1. 8% 2. 15.9% 3. 84.1% 4. 99.9% 2. One morning, 9 students attended the spinning class. What is the probability that their average age is lower than 33 years? 1. 8% 2. 15.9% 3. 84.1% 4. 99.9% 3. john really wants to attend spinning class but is afraid of being older than 99% of the participants. How old would he have to be for that to happen? 1. At least 23 years old 2. At least 33 years old 3. At least 37 years old 4. At least 45 years old
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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