Solve the following problems. 1. The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hour and is nomally distributed, how long does a worker spend on the computer if his z-score is 1.2? 2. Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of a household that generates 22 pounds of newspaper.
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.
![Activity 4.
Solve the following problems.
1. The mean number of hours a Filipino worker spends on the computer is 3.1 hours per
workday. Assume the standard deviation is 0.5 hour and is normally distributed, how long
does a worker spend on the computer if his z-score is 1.2?
2. Each month, a Filipino household generates an average of 28 pounds of newspaper for
garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of
a household that generates 22 pounds of newspaper.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7e466fd-4cbe-4478-9621-fae5d9182f11%2F8172df41-98be-4ee9-85f9-be3e9ce48ed0%2Figrlwt9_processed.jpeg&w=3840&q=75)
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