You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=84.9Ho:μ=84.9 Ha:μ>84.9Ha:μ>84.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=25n=25 with a mean of M=89.9M=89.9 and a standard deviation of SD=10.4SD=10.4.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = IncorrectWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = IncorrectThe test statistic is...in the critical regionnot in the critical regionIncorrectThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullIncorrectAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.9.There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.9.The sample data support the claim that the population mean is greater than 84.9.There is not sufficient sample evidence to support the claim that the population mean is greater than 84.9.

The null and alternative hypotheses are: Ho: \muμ = 84.984.9 Ha: \muμ > 84.984.9 This corresponds to a right-tailed test. For the significance level is α=0.001, and the critical value for a right-tailed test is tc=3.467 (from t-distribution table). critical value = 3.467 The t-statistic is computed as follows: As the test statistic is less than the critical value, i.e., t=2.404≤tc=3.467, the null hypothesis is not rejected. Therefore, there is not enough evidence to claim that the population mean μ is greater than 84.9, at the 0.001 significance level. The test statistic is... not in the critical region This test statistic leads to a decision to... fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.9.

Answered: ou 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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You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.

Ho:μ=84.9Ho:μ=84.9
Ha:μ>84.9Ha:μ>84.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=25n=25 with a mean of M=89.9M=89.9 and a standard deviation of SD=10.4SD=10.4.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = Incorrect

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = Incorrect

The test statistic is...

in the critical region
not in the critical region

Incorrect

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

Incorrect

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.9.
There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.9.
The sample data support the claim that the population mean is greater than 84.9.
There is not sufficient sample evidence to support the claim that the population mean is greater than 84.9.

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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