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Some people claim that women are better able to multitask (i.e,work on a number of different tasks at the same time) at work than men,

Some people claim that women are better able to "multitask" (i.e,work on a number of different tasks at the same time) at work than men, on average. A researcher decides to investigate this claim. A sample of 151 men and 151 women were asked to performa set of tasks, and their performance was rated on a 0-100 scale.Women (Group 1) ended up with an average score of 73, with a standard deviation of 9.3and men (Group 2) had an average score of 67 with a standard deviation of 8.2. Find theupper boundof a95% confidence intervalfor the true difference in mean performance, to two decimal places,assuming thepopulation standard deviations are NOT equal (Case 2).

Take all calculations toward the answer to three (3) decimal places.

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