Part II. A psychologist was interested in whether different TV shows lead to a more positive outlook on life. Subjects were randomly split into three groups and then taken to a room to view a comedy show, to view a news program, and to view no program (just remain in the room). After the same period of time, a blood sample was taken and serotonin levels were measured (more serotonin means more positive outlook on life). The following table shows the data for serotonin levels in each group. Comedy Show News Program No Program 13 4. 8 12 3 11 4 5 4 10 4 Mean 9.4 3.7 4.8 Variance 8.3 2.2 est the hypothesis that some TV shows make people have a more positive outlook on life, at 5% level of significance. 4 4 5252
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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