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 408 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: Culture Mean (s) European American Asian American Japanese Indian Hispanic American 46 31 91 160 80 4.39 (1.01) 4.35 (1.18) 4.74 (1.15) 4.34 (1.26) 5.04 (1.16) 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. (a) The ANOVA F statistic was reported as 5.66. 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. (b) 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. 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 =number of categories -1 =k-1 =5-1 =4

denominator df =N-k =46+31+91+160+80-5=403

p value for above df and test statsitic =0.0002

as p value is less then 5% level

we have strong evidence that the means are different,

b)

Hispanic american have highest emotional scores; japanese in the middle and rest of three are lowest

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