Answered: Question 1 (10 marks) A surveying…

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 1 (10 marks)
A surveying company wants to know the average amount of people spent in a trip. A random sample of 8
people was taken and their amount of spendings ($) in the previous trip were recorded as follow:
8200 8500 4300 5200 5600 7800 2310 10000
It is assumed that the amount spent was normally distributed.

(a) Construct a 95% confidence interval of the population mean spending in a trip.

(b) If the similar survey would be done regularly, each time with the same sample size n = 8. After the
construction of 50 confidence intervals, each at 95% confidence level, approximately how many such
intervals can successfully include the unknown population mean?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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