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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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