Answered: You wish to test the following claim…

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

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.
      Ho:μ=84.6 Ho:μ=84.6
      Ha:μ<84.6 Ha:μ<84.6

You believe the population is normally distributed, but you do not know the standard deviation. Your sample has:
   size: n=86
   mean: M=79.3
   standard deviation: SD=16.8

What is the test statistic for this sample?
(Round the answer accurate to 3 decimal places.)
test statistic: t =

What is the P-value for this sample?
(Round the answer accurate to 3 decimal places.)
P-value =

less than (or equal to) αα
greater than αα

This leads to a decision to...

reject the null
accept the null
fail to reject the null

So, the final conclusion is that...

The data do not support the claim of the alternative hypothesis that the population mean is less than 84.6.
The sample data support the claim of the alternative hypothesis that the population mean is less than 84.6.

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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