A book shelf manufacturer claims that their largest bookshelves can each withsta

Question

A book shelf manufacturer claims that their largest bookshelves can each withstand an average of 130 pounds of books, with a standard deviation of about 28 pounds. A sample of 49 bookshelves is selected using simple random sampling with replacement and the weight they could each withstand was measured. Using this information, answer the following questions:
be accurate to at least four decimal places.



Find the probability that the mean weight the bookshelves in the sample can withstand is:

a) between 118.4000 pounds and 124.5600 pounds  

b) less than 121.8400 pounds or greater than 141.0000 pounds  

c) less than 123.5200 pounds or greater than 126.7600 pounds  

d) less than 131.0400 pounds or greater than 141.9600 pounds  

e) less than 137.2000 pounds  

Explanation / Answer

d is the answer

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