Suppose the weight of a pack of sugar manufactured by a certain company is normally distributed with
Question:
Suppose the weight of a pack of sugar manufactured by a certain company is normally distributed with an average of 50 grams and a standard deviation of 9 grams.
(a) What is the probability that a randomly selected pack of sugar is weighted 39 grams to 55 grams? Correct your final answer to 4 decimal places. (4 marks)
(b) The management would like to screen out those packs of sugar with weight below K grams. Find the value of K such that 5% of the packs of sugar would be screened out. Correct your final answer to 1 decimal place.
(C) Suppose a random sample of 400 packs of sugar is selected. Find the probability that at least 119 packs have weights more than 54 grams each by using continuity correction method.
Business Statistics in Practice
ISBN: 978-0077404741
6th edition
Authors: Bruce Bowerman, Richard O'Connell