Answered: When 50 people used a certain diet for…

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

When 50 people used a certain diet for one year, their weight losses had a standard deviation of 5.4lb. Use a 0.05 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 6.0
lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test?

H0:

H1:

Calculate the value of the test statistic.

(Round to two decimal places as needed.)

Use technology to determine the P-value for the test statistic.

The P-value is

(Round to three decimal places as needed.)

What is the conclusion at the 0.05 level of significance?

Since the P-value is ......(greater than/less than/equal to)
the level of significance,......(do not reject/ reject) the null hypothesis. There

....(is/ is not) sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to....(6.0/ 5.4)lb.

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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