As part of a long-term study of individuals 65 years of age or older, sociologis

Question

As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York investigated whether geographic location had an effect on depression. Random samples of 40 individuals were selected from three geographic locations: Florida, New York, and North Carolina. Then, each was given a standardized test to measure depression (higher test scores indicate higher levels of depression). Determine if there are significant differences in the mean depression scores across the three geographic locations using a significance level of 0.01 Response statistics by factor Tukey 99% simultaneous confidence intervals: Location* n ? Mean ? Std. Dev.? Std. Error ? Florida New York North Carolina 40 10.54.512092 0.71342439 Florida subtracted fronm 40 10.025 5.2598503 0.83165536 Difference Lower Upper P-value 1.6 -16585489 4.8585489 0.3145 0.475-2.7835489 3.7335489 0.9019 40 11.625 4.9130256 0.77681755 New York North Carolina New York subtracted from ANOVA table Source DF Location 254.016667 27.008333 1.1228081 0.3288 Error 117 2814.35 24.054274 Total119 2868.3667 MS F-Stat P-value Difference Lower Upper P-value 1.125-4.3835489 2.1335489 0.5621 North Carolina Select the appropriate hypotheses: . Ha: some differences in the means TS: f * probability- (round your answer to 3 decimal places) Decision:Select an answer Interpret: At the 0.01 level, there Select an answer significant evidence to conclude there is some difference in the mean Select an answer for adults 65 and older across the three geographic locations." Which of the multiple comparisons are significant? FL vs. NY FL vs. NC NY vs. NGC It is not appropriate to consider multiple comparisons

Explanation / Answer

select the correct hypothesis
option C) is correct

alpha = 0.01
TS = 1.123

probability = 0.3288

decision we fail to reject the null hypothesis as p-value > alpha

there is not sufficient evidence that

there is some differences in the mean depression scores

which comparisions are significant

option D) is correct

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