Suppose the accompanying summary statistics for a measure of social marginality for samples of youths, young adults, adults, and seniors appeared in a research paper. The social marginality score measured actual and perceived social rejection, with higher scores indicating greater social rejed Age Group Sample Size x s Youths 102 2.00 1.58 USE SALT Young Adults Seniors Adults 252 315 3.10 3.08 1.67 1.68 35 2.82 1.86 For purposes of this exercise, assume that it is reasonable to regard the four samples as representative of the U.S. population in the corresponding age groups and that the distributions of social marginality scores for these four groups are approximately normal with the same standard deviation Is there evidence that the mean social marginality scores are not the same for all four age groups? Test the relevant hypotheses using a -0.01. Calculate the test statistic. (Round your answer to two decimal places.) F-1 Use technology to find the P-value. (Round your answer to four decimal places.) P-value-[ What can you conclude? O Reject Ho. There is convincing evidence that the mean social marginality scores are not the same for all four age groups Fail to reject Ho. There is not convincing evidence that the mean social marginality scores are not the same for all four age groups.

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Suppose the accompanying summary statistics for a measure of social marginality for samples of youths, young adults, adults, and seniors appeared in a research paper. The social marginality score measured actual and perceived social rejection, with higher scores indicating greater social rejection.
Young
Adults
Age Group Youths
Sample Size
x
s
102
2.00
1.58
LAUSE SALT
252
3.10
1.67
Adults Seniors
315
3.08
1.68
35
2.82
1.86
For purposes of this exercise, assume that it is reasonable to regard the four samples as representative of the U.S. population in the corresponding age groups and that the distributions of social marginality scores for these four groups are approximately normal with the same standard deviation.
Is there evidence that the mean social marginality scores are not the same for all four age groups? Test the relevant hypotheses using a -0.01.
Calculate the test statistic. (Round your answer to two decimal places.)
F=[
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value=
What can you conclude?
Ⓒ Reject Ho. There is convincing evidence that the mean social marginality scores are not the same for all four age groups.
O Fail to reject Ho- There is not convincing evidence that the mean social marginality scores are not the same for all four age groups.
O Fail to reject Ho. There is convincing evidence that the mean social marginality scores are not the same for all four age groups.
O Reject H. There is not convincing evidence that the mean social marginality scores are not the same for all four age groups.
Transcribed Image Text:Suppose the accompanying summary statistics for a measure of social marginality for samples of youths, young adults, adults, and seniors appeared in a research paper. The social marginality score measured actual and perceived social rejection, with higher scores indicating greater social rejection. Young Adults Age Group Youths Sample Size x s 102 2.00 1.58 LAUSE SALT 252 3.10 1.67 Adults Seniors 315 3.08 1.68 35 2.82 1.86 For purposes of this exercise, assume that it is reasonable to regard the four samples as representative of the U.S. population in the corresponding age groups and that the distributions of social marginality scores for these four groups are approximately normal with the same standard deviation. Is there evidence that the mean social marginality scores are not the same for all four age groups? Test the relevant hypotheses using a -0.01. Calculate the test statistic. (Round your answer to two decimal places.) F=[ Use technology to find the P-value. (Round your answer to four decimal places.) P-value= What can you conclude? Ⓒ Reject Ho. There is convincing evidence that the mean social marginality scores are not the same for all four age groups. O Fail to reject Ho- There is not convincing evidence that the mean social marginality scores are not the same for all four age groups. O Fail to reject Ho. There is convincing evidence that the mean social marginality scores are not the same for all four age groups. O Reject H. There is not convincing evidence that the mean social marginality scores are not the same for all four age groups.
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