The candy machine Suppose a large candy machine has 15% orange candies. Imagine taking an SRS of
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The candy machine Suppose a large candy machine has 15% orange candies. Imagine taking an SRS of 25 candies from the machine and observing the sample proportion p^ of orange candies.
(a) What is the mean of the sampling distribution of p^ ?
Why?
(b) Find the standard deviation of the sampling distribution of p^ . Check to see if the 10% condition is met.
(c) Is the sampling distribution of p^ approximately Normal?
Check to see if the Large Counts condition is met.
(d) If the sample size were 225 rather than 25, how would this change the sampling distribution of p^ ?
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