At a large company, the attitudes of workers are regularly measured with a standard test. The scores on the test are from 0 to 100, with higher score indicating greater satisfaction. The mean score over all company's employees was 74, with a standard deviation of 8. Some time ago, the company adopted the policy that workers could spend one day per week working form home. After the policy had been in place for some time, a random sample of 80 workers was given the test. The sample mean was 76. Assume that the standard deviation is still 8. Can we conclude that the mean level of satisfaction is different since the policy change at the α=0.05 l
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.
At a large company, the attitudes of workers are regularly measured with a standard test. The scores on the test are from 0 to 100, with higher score indicating greater satisfaction. The mean score over all company's employees was 74, with a standard deviation of 8. Some time ago, the company adopted the policy that workers could spend one day per week working form home. After the policy had been in place for some time, a random sample of 80 workers was given the test. The sample mean was 76. Assume that the standard deviation is still 8. Can we conclude that the mean level of satisfaction is different since the policy change at the α=0.05 level?
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