A company conducted a study of the listening habits of men and women. One facet of the study involved the mean listening time. The mean listening time for a sample of 13 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 11 women was also 30 minutes, but the standard deviation of the sample was 14 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? What is the test statistic? (round to 3 decimal places) What is our decision (reject or do not reject)
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 company conducted a study of the listening habits of men and women. One facet of the study involved the mean listening time. The mean listening time for a sample of 13 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 11 women was also 30 minutes, but the standard deviation of the sample was 14 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?
- What is the test statistic? (round to 3 decimal places)
- What is our decision (reject or do not reject)
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