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A very ambitious librarian looked through all the books in his library counting the number of pages in each. He found the mean number of

A very ambitious librarian looked through all the books in his library counting the number of pages in each. He found the mean number of pages for the books to be 345.34 with a standard deviation of 29.0451. Suppose we take a random sample of 36 books from this library.

(3 marks). Find the sampling distribution of for this data?

(4 marks). What is the probability the sample mean is between 350 and 360 ?

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