Jim wishes to estimate the average number of days students are absent from his STA 205 in a semester. In a random sample of 36 of her STA 205 students the mean number of absences was 2.853 days with a standard deviation of 1.878 days. Find the interval that is three standard deviations from the mean. Interpret this interval using either the Empirical Rule or Chebyshev's Rule (whichever is most appropriate for this distribution). Estimate the mean number of days students are absent from Jim's STA 205 using 90% confidence.
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.
Estimate the
Step by step
Solved in 3 steps
