Do people from different cultures experience emotions differently? One study des

Question

Do people from different cultures experience emotions differently? One study designed to examine this question collected data from 412 college students from five different cultures. The participants were asked to record, on a 1 (never) to 7 (always) scale, how much of the time they typically felt eight specific emotions. These were averaged to produce the global emotion score for each participant. Here is a summary of this measure: Note that the convention of giving the standard deviations in parentheses after the means saves a great deal of space in a table such as this The ANOVA F statistic was reported as 5.57. Give the degrees of freedom and either an approximate (from Table E) or an exact (from software) P-value. Sketch a picture of the F distribution that illustrates the P-value. (Round your P-value to four decimal places.) numerator df __________ denominator df _____ P-value _________ What do you conclude? We have strong evidence at the 5% level that the means are not all the same. We have no evidence at the 5% level that the means are different., without doing any additional formal analysis, describe the pattern in the means that appears to be responsible for your conclusion in part (a). Are there pairs of means that are quite similar? Asian Americans have the highest emotion scores, Japanese are in the middle, and the other three cultures are lowest, Hispanic Americans have the highest emotion scores, Japanese are in the middle, and the other three cultures are lowest. European Americans have the highest emotion scores, Indians are in the middle, and the other three cultures are lowest. Japanese have the highest emotion scores, Hispanic Americans are in the middle, and the other three cultures are lowest. European Americans have the highest emotion scores, Hispanic Americans are in the middle, and the other three cultures are lowest.

Explanation / Answer

a)numerator df=4

denominator df=407

p value =0.00022

we have strong evidence at that 5% level that the means are not all the same.

b)Hispanic Americans have..............

i ni Yi S;^2 ni*(Yi-mean)^2 (ni-1)Si^2 european American 47 4.39 1.0609 1.489 48.801 asian american 34 4.35 1.3924 1.616 45.949 Japanese 91 4.72 1.3225 2.102 119.025 Indian 160 4.34 1.5876 8.317 252.428 Hispanic American 80 5.04 1.3456 17.823 106.302 mean 4.568 31.348 572.506 Source of variation SS df MS F P value Between groups 31.348 4 7.837 5.571 0.00022 with in groups 572.506 407 1.407 total 603.854 411

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