The average price of a college math textbook is $156 and the standard deviation is $26. Suppose that 11 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ¤? ¤ ~ N( b. For the group of 11, find the probability that the average price is between $155 and $164. c. Find the third quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? YesO No
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.
The average price of a college math textbook is $156 and the standard deviation is $26. Suppose that 11 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.
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