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In: Statistics and Probability

Suppose​ that, according to a recent​ census, the income per capita measured in U.S. dollars was...

Suppose​ that, according to a recent​ census, the income per capita measured in U.S. dollars was ​$42 comma 793 in country A and ​$46 comma 210 in country B. Assume that income per capita is Normally distributed with a standard deviation equal to 29​% of the mean for each country. A random sample of eight people in country A and eight people in country B is selected.

a) What is the probability that the mean income of the sample from country A is above ​$46 comma 210​?

​b) What is the probability that the mean income of the sample from country B is above ​$42 comma 793​?

​c) What would be the effect of not assuming that the income per capita is Normally​ distributed?

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