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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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The average price of a college math textbook is $162, with a standard deviation of $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places when possible. **a. What is the distribution of x̄?** x̄ ~ N(162, 8.5382) **b. For the group of 10, find the probability that the average price is between $161 and $167.** 0.2675 **c. Find the 95th percentile for the average textbook price for this sample size.** 1.645 (round to the nearest cent) **d. Find the 95th percentile for an individual textbook price. (round to the nearest cent)** 175.05 **e. For part b), is the assumption that the distribution is normal necessary?** No
Transcribed Image Text:The average price of a college math textbook is $162, with a standard deviation of $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places when possible. **a. What is the distribution of x̄?** x̄ ~ N(162, 8.5382) **b. For the group of 10, find the probability that the average price is between $161 and $167.** 0.2675 **c. Find the 95th percentile for the average textbook price for this sample size.** 1.645 (round to the nearest cent) **d. Find the 95th percentile for an individual textbook price. (round to the nearest cent)** 175.05 **e. For part b), is the assumption that the distribution is normal necessary?** No
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