Five books (6.1, 6.2) An author has written 5 children’s books. The number of pages in these books are 64, 66, 71, 73, and 76. List all 10 possible SRSs of size n = 3, calculate the median number of pages for each sample, and display the sampling distribution of the sample median on a dot-plot. Show that the sample median is a biased estimator of the population median for this population. (c) Describe how the variability of the sampling distribution of the sample median would change if the sample size was increased to n= 4.
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.
- Five books (6.1, 6.2) An author has written 5 children’s books. The number of pages in these books are 64, 66, 71, 73, and 76.
- List all 10 possible SRSs of size n = 3, calculate the
median number of pages for each sample, and display the sampling distribution of the sample median on a dot-plot.
- Show that the sample median is a biased estimator of the population median for this population.
(c) Describe how the variability of the sampling distribution of the sample median would change if the
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images