Each student was assigned a final paper assignment. For each student (S1 for student 1, S2 for student 2, etc.), the number of pages the student wrote for his/her paper is listed below: S1 = 58 S2 = 61 S3 = 61 S4 = 43 S5 = 74 (a) Find the mean of the population. Round to 4 decimal places if necessary. (b) Find the standard deviation of the population.
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.
Consider a population of 5 literature students. Each student was assigned a final paper assignment. For each student (S1 for student 1, S2 for student 2, etc.), the number of pages the student wrote for his/her paper is listed below:
| S1 = 58 | S2 = 61 | S3 = 61 | S4 = 43 | S5 = 74 |
(a) Find the
(b) Find the standard deviation of the population. Round to 4 decimal places if necessary.
(c)All the possible samples of size n=2 are listed in the first column of the table below. For all the possible samples, calculate the sample mean and put that value in the second column. Do not round any quantities.
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