Answered: A simple random sample of size nequals…

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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A simple random sample of size

nequals 15 is drawn from a population that is normally distributed. The sample mean is found to be x overbarxequals 23.9 and the sample standard deviation is found to be sequals 6.3.

Determine if the population mean is different from 26
at the alpha equals 0.01 level of significance.

(a) Determine the null and alternative hypotheses.

Upper H0: muμ equals= 26

Upper H1:

muμ not equals≠26

(b) Calculate the P-value.

(Round to three decimal places as needed.)

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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