a. What is the shape of the sampling distribution of ?^ − ?^ ? Why? ?? b. Find the mean of the sampling distribution. Show your work. c. Find the standard deviation of the sampling distribution. Show your work.
A candy maker offers Child and Adult bags of jelly beans with different color mixes. The company claims that the Child mix has 30% red jelly beans, while the Adult mix contains 15% red jelly beans. Assume that the candy maker’s claim is true. Suppose we take a random sample of 50 jelly beans from the Child mix
and a separate random sample of 100 jelly beans from the Adult mix. Let ?^ and ?^ be the sample ??
proportions of red jelly beans from the Child and Adult mixes, respectively.
a. What is the shape of the sampling distribution of ?^ − ?^ ? Why?
??
b. Find the mean of the sampling distribution. Show your work.
c. Find the standard deviation of the sampling distribution. Show your work.
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