In a survey that asked 89 people to indicate the reasons why they do not go to the gym, 59 responded that they were too busy, 25 said they felt too tired/lazy to go, and 11 said both. a. If a participant is randomly selected from the study, determine the probability that he/she does not go to the gym because he/she is too busy or because he/she is too tired/lazy. P (Busy or Tired/Lazy): Round to 3 significant digits. b. If a participant is randomly selected from the study, determine the probability that he/she does not go to the gym for reasons not related to busyness or tiredness/laziness. P (Other): Round to 3 significant digits.
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.
In a survey that asked 89 people to indicate the reasons why they do not go to the gym, 59 responded that they were too busy, 25 said they felt too tired/lazy to go, and 11 said both.
a. If a participant is randomly selected from the study, determine the
P (Busy or Tired/Lazy):
Round to 3 significant digits.
b. If a participant is randomly selected from the study, determine the probability that he/she does not go to the gym for reasons not related to busyness or tiredness/laziness.
P (Other):
Round to 3 significant digits.
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