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The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( ✓8.5382✓ OB OB 162 b. For the group of 10, find the probability that the average price is between $161 and $167. 0.2675 OF c. Find the 95th percentile for the average textbook price for this sample size. $ 1.645 x (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ 175.05 X e. For part b), is the assumption that the distribution is normal necessary? Yes No

The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( ✓8.5382✓ OB OB 162 b. For the group of 10, find the probability that the average price is between $161 and $167. 0.2675 OF c. Find the 95th percentile for the average textbook price for this sample size. $ 1.645 x (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ 175.05 X e. For part b), is the assumption that the distribution is normal necessary? Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? ~ N( ✔8.5382✔) OF O 162 b. For the group of 10, find the probability that the average price is between $161 and $167. 0.2675 OF c. Find the 95th percentile for the average textbook price for this sample size. $ 1.645 x (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ 175.05 X e. For part b), is the assumption that the distribution is normal necessary? Yes No
Transcribed Image Text:The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? ~ N( ✔8.5382✔) OF O 162 b. For the group of 10, find the probability that the average price is between $161 and $167. 0.2675 OF c. Find the 95th percentile for the average textbook price for this sample size. $ 1.645 x (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ 175.05 X e. For part b), is the assumption that the distribution is normal necessary? Yes No
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