Answered: We want to conduct a hypothesis test of…

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

We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store is less than

483

dollars. So, we record the daily profit for a random sample of days. The sample has a mean of

488

dollars and a standard deviation of

dollars.

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

(a)	The sample has size 18 , and it is from a normally distributed population with an unknown standard deviation.
		=z
		=t
		It is unclear which test statistic to use.

(b)	The sample has size 14 , and it is from a normally distributed population with a known standard deviation of 75 .
		=z
		=t
		It is unclear which test statistic to use.

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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