Answered: Determine the null and alternative…

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

Determine the null and alternative hypotheses. Choose the correct choice below.

H0:

The expected frequencies are all equal to 5.

Ha:

At least one expected frequency differs from 5.

H0:

The distribution of the variable is the same as the given distribution.

Ha:

The distribution of the variable differs from the given distribution.

H0:

The distribution of the variable differs from the normal distribution.

Ha:

The distribution of the variable is the normal distribution.

H0:

The distribution of the variable differs from the given distribution.

Ha:

The distribution of the variable is the same as the given distribution.

Compute the value of the test statistic,

χ2.

χ2=

(Round to three decimal places as needed.)

Find the P-value.

(Round to three decimal places as needed.)

Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?

No,

because there is sufficient evidence to reject the null hypothesis.

Yes,

because there is not sufficient evidence to reject the null hypothesis.

Yes,

because there is sufficient evidence to reject the null hypothesis.

No,

because there is not sufficient evidence to reject the null hypothesis.

A distribution and the observed frequencies of the values of a variable from a simple
random sample of the population are provided below. Use the chi-square goodness-of-fit
test to decide, at the specified significance level, whether the distribution of the variable
differs from the given distribution.
Distribution: 0.1875, 0.25, 0.25, 0.3125
Observed frequencies: 20, 21, 20, 35
Significance level = 0.05

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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