Professors are concerned about the impact of PhD candidates working part-time while they are enrolled in classes. They would like to know if students are overworking and therefore spending less time on coursework and research. Professors decided to find out, on average how many hours the students are working per week. From previous experiences, they know that the mean and standard deviation of this variable is 15 hours and 5 hours respectively. They surveyed 200 students.
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.
Professors are concerned about the impact of PhD candidates working part-time while they are enrolled in classes. They would like to know if students are overworking and therefore spending less time on coursework and research. Professors decided to find out, on average how many hours the students are working per week. From previous experiences, they know that the
- What is the standard error of the sample mean?
- What is the probability that the sample mean is at least 10 hours per week.
- Use this example to explain the difference between a parameter and estimator.
- Why do we use a 95% confidence interval instead of 100%?
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