According to a General Regional Survey, in South Asia, the distribution of y = pair of shoes

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According to a General Regional Survey, in South Asia, the distribution of y = pair of shoes has a mean of 6.5 and a standard deviation of 4.9.

Suppose these are the population mean and standard deviation.

(a) Does y have a normal distribution? Explain.

(b) For a random sample of 700 adults (the size of the General Research Survey for this variable), describe the sampling distribution of ¯y by giving its shape, mean, and standard error.

(c) Refer to (b). Report an interval within which the sample mean would almost surely fall.

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