Answered: Use a t-test to test the claim about…

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

Use a t-test to test the claim about the population mean

μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.

Claim: μ≥7800; α=0.05

Sample statistics: x=7500, s=420, n=20

What are the null and alternative hypotheses?

H0:

μ=7800

Ha:

μ≠7800

H0:

μ≠7800

Ha:

μ=7800

H0:

μ≥7800

Ha:

μ<7800

H0:

μ≤7800

Ha:

μ>7800

What is the value of the standardized test statistic?

The standardized test statistic is____.
(Round to two decimal places as needed.)

What is the P-value?

P=___

(Round to three decimal places as needed.)

Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

Reject

H0.

At the

level of significance, there

enough evidence to reject the claim.

Fail to reject

H0.

At the

level of significance, there

enough evidence to reject the claim.

Fail to reject

H0.

At the

level of significance, there

is not

enough evidence to reject the claim.

Reject

H0.

At the

level of significance, there

is not

enough evidence to reject the claim.

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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