6. A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 13 librarians from each city was randomly selected. The mean from the first city was $27,500 with a standard deviation of $2250. The mean from the second city was $29550 with a standard deviation of $1950. Test the hypothesis that the salaries from both cities are equal. Use a = 0.05. Write the null and alternate hypothesis. (conclude your result with P-value and critical value approach, both)
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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