Use a significance level of =α0.05 to test the claim that =μ19 . The sample data consists of 10 scores for which =x20 and =s4.8 . State the null and alternative hypotheses, compute the value of the test statistic, and find the P -value for the sample. State your conclusions about the claim. H0 : =μ19 H1 : ≠μ19 Test statistic: =t0.6588 . P -Value: =P0.2633 . Accept H0 : μ = 19. Since >Pα , there is not sufficient evidence to support the claim that the mean is different from 19 . H0 : =μ19 H1 : ≠μ19 Test statistic: =t0.6588 . P -Value: =P0.5265 . Reject H0 : μ = 19. Since >Pα , there is sufficient evidence to support the claim that the mean is different from 19 . H0 : =μ19 H1 : ≠μ19 Test statistic: =t0.6588 . P -Value: =P0.5265 . Accept H0 : μ = 19. Since >Pα , there is sufficient evidence to support the claim that the mean is different from 19 . H0 : =μ20 H1 : ≠μ20 Test statistic: =t20 . P -Value: =P0.5265 . Accept H0 : μ = 20. Since >Pα , there is not sufficient evidence to support the claim that the mean is different from 20 . H0 : =μ19 H1 : ≠μ19 Test statistic: =t0.6588 . P -Value: =P0.5265 . Accept H0 : μ = 19. Since >Pα , there is not sufficient evidence to support the claim that the mean is different from 19 .

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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Related questions

Question

Use a significance level of

=α0.05

to test the claim that

=μ19

. The sample data consists of

scores for which

=x20

and

=s4.8

. State the null and alternative hypotheses, compute the value of the test statistic, and find the

-value for the sample. State your conclusions about the claim.

=μ19

≠μ19

Test statistic:

=t0.6588

-Value:

=P0.2633

. Accept

19.

Since

>Pα

, there is not sufficient evidence to support the claim that the mean is different from

=μ19

≠μ19

Test statistic:

=t0.6588

-Value:

=P0.5265

. Reject

19.

Since

>Pα

, there is sufficient evidence to support the claim that the mean is different from

=μ19

≠μ19

Test statistic:

=t0.6588

-Value:

=P0.5265

. Accept

19.

Since

>Pα

, there is sufficient evidence to support the claim that the mean is different from

=μ20

≠μ20

Test statistic:

=t20

-Value:

=P0.5265

. Accept

20.

Since

>Pα

, there is not sufficient evidence to support the claim that the mean is different from

=μ19

≠μ19

Test statistic:

=t0.6588

-Value:

=P0.5265

. Accept

19.

Since

>Pα

, there is not sufficient evidence to support the claim that the mean is different from

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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