Chapter 7: Central Limit Theorem (Mean) Score: 0/5 0/5 answered Question 3 The average price of a college math textbook is $169 and the standard deviation is $27. Suppose that 47 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 47, find the probability that the average price is between $167 and $171. c. Find the third quartile for the average textbook price for this sample stze. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Yideos:
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.
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Chapter 7: Central Limit Theorem (Mean)
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Score: 0/5
0/5 answered
O Question 3
The average price of a college math textbook is $169 and the standard deviation is $27. Suppose that 47
textbooks are randomly chosen. Round all answers to 4 decimal places where possible.
a. What is the distribution of E?E - N(
b. For the group of 47, find the probability that the average price is between $167 and $171.
C. Find the third quartile for the average textbook price for this sample stze. $
(round to
the nearest cent)
d. For part b), is the assumption that the distribution is normal necessary? O YesO No
Hint:
Some Helpful Videos:
Finding the Sampling Distribution [+]
Finding a Probability Using the Central Limit Theorem [+]
• Finding Value Given a Probability Using the Central Limit Theorem [+]
• The Central Limit Theorem For Sums [+]
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