454 undergraduates (61 Chinese, 232 Japanese, 161 Americans) attending colleges

Question

454 undergraduates (61 Chinese, 232 Japanese, 161 Americans) attending colleges in their respective countries participated. The questions on the survey were designed to give a numerical result that indicates whether a participant likes competition or not. The questions included such things as "I enjoy competing against an opponent', and "I often remain quiet rather than speak against an idea". All participants completed surveys that used a numerical collection consisting of 1 = strongly disagree to 5 = strongly agree. The following data result was tabulated. M = mean, SD = Standard Deviation For the following question assume that data is normally distributed. Which of the following confidence intervals for the mean score of Chinese men who enjoy competition is widest? (meets objectives: d, i) 95% confidence interval 90% confidence interval 99% confidence interval 85% confidence interval

Explanation / Answer

a) The widest confidence interval is the one in which the confidence level is the highest because z-value is the highest.

Hence, 99% confidence interval is the widest for the distribution.

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