Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a standard deviation of .7 hours. (Class videos for drawing the diagrams are located in Module 6, 7 and 8). a. Draw a diagram of the distribution according to the empirical rule. Then use that information give ranges for the following values: i. The middle 68% ii. The middle 95% iii. The middle 99.7%
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.
![Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a
standard deviation of .7 hours. (Class videos for drawing the diagrams are located in Module 6,
7 and 8).
Draw a diagram of the distribution according to the empirical rule. Then use that
information give ranges for the following values:
i. The middle 68%
ii. The middle 95%
ii. The middle 99.7%
Use your diagram to answer the following questions.
i. What percentage of adults watch between 1 and 2.4 hours of TV a day? Show
your work and be exact.
ii. What percentage of adults watch more than 3.1 hours of TV a day? Show your
work and be exact.
For the following problems, you should use a calculator or Statcrunch.
i. What is the probability that an adult watches more than 3.5 hours in a day?
Calculate the z-score. Draw a diagram, as I have done in the class videos. It
should be hand drawn. And then you may use technology to find the
probability.
ii. What is the probability that a person watches between 2 and 3 hours of TV a
day? Write the probability notation. Calculate the z-score. Draw a diagram, as I
have done in the class videos. It should be hand drawn. And then you may use
technology to find the probability.
iii. What is the 40th percentile for the number of hours an adult watches TV in a
day?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a2072a9-7aab-4b43-b0e1-0ef1854c9c71%2F4777bd87-d1ad-4888-86d7-a3be152a679c%2F5ejtqu_processed.jpeg&w=3840&q=75)
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