A researcher wants to know if men have a lower anxiety level than women in response to social rejection. The researcher brings 9 men and 16 women into a lab. He tells them all to write about a time they were socially rejected and he then measures their levels of anxiety using a 0-100 scale. The mean anxiety for men (A) was 81.67 with a standard deviation of 8.78. For women (B), he obtained a mean of 85.69 with a standard deviation of 4.8 A). Complete test statistic and critical values B). Conclusion
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.
A researcher wants to know if men have a lower anxiety level than women in response to social rejection. The researcher brings 9 men and 16 women into a lab. He tells them all to write about a time they were socially rejected and he then measures their levels of anxiety using a 0-100 scale. The mean anxiety for men (A) was 81.67 with a standard deviation of 8.78. For women (B), he obtained a mean of 85.69 with a standard deviation of 4.8
A). Complete test statistic and critical values
B). Conclusion
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