In a given country, the amount of time spent on social media websites by university students has a distribution with a mean of 116 minutes and a variance of 244 minutes. What is the probability that 61 randomly selected students spend, on average, less than 120 minutes? A ) 2% B ) 2.5% C ) 98% D ) 97.72% E ) 97.5%
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 given country, the amount of time spent on social media websites by university students has a distribution with a mean of 116 minutes and a variance of 244 minutes. What is the probability that 61 randomly selected students spend, on average, less than 120 minutes?
B ) 2.5%
C ) 98%
D ) 97.72%
E ) 97.5%
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