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Mathematics, 08.02.2021 23:40 barattah

At West High, 45% of the students play sports while at East High 40% of the students play sports. Random samples of 50 students from each large high school are selected. Let pW-pE be the difference in the sample proportion of the students that play sports. What is the shape of the sampling distribution of pW-pE ? Why?

What is the mean of the sampling distribution of pW-pE ?

What is the standard deviation of the sampling distribution of pW-pE ? Why?

What is the probability of the students that play sports in the sample from East High greater than the proportion of students that play sports in the sample from West High?

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