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 .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

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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

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