Answered: A study was conducted to compare the…

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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Question

A study was conducted to compare the prices of coffee tables at two different furniture
stores. A random sample of 45 tables from Company A has the mean price of RM 1655 with
a standard deviation of RM 312. Meanwhile, a sample of 50 tables that was randomly taken
from Company B has the average price of RM 1538 with a standard deviation of RM 420.
Assume the mean prices of coffee table from both furniture stores are normally distributed.
a) Write the sampling distribution for the difference between mean prices for the two
furniture stores.
b) Find the probability that the mean price of coffee table from Company A is more than
Company B by RM 80.
c) Compute the probability that the mean price of coffee table from Company A is less than
RM 1700.

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