The average price of a college math textbook is $169 and the standard deviation is $25. Suppose that 49 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a.) What is the distribution of ¯x? ¯x ~ N(__,__) b.) For the group of 49, find the probability that the average price is between $172 and $176. c.) Find the 95th percentile for the average textbook price for this sample size. $___. Round to the nearest cent.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The average price of a college math textbook is $169 and the standard deviation is $25. Suppose that 49 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.
a.) What is the distribution of ¯x? ¯x ~ N(__,__)
b.) For the group of 49, find the probability that the average price is between $172 and $176.
c.) Find the 95th percentile for the average textbook price for this sample size. $___. Round to the nearest cent.
d.) Find the 95th percentile for an individual textbook price. (round to the nearest cent) $___
e.)For part b), is the assumption that the distribution is normal necessary? YesNo
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