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The average amount of money spent for lunch per person in the college cafeteria is...

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The average amount of money spent for lunch per person in the college cafeteria is 7 06 and the standard deviation is 2 49 Suppose that 9 randomly selected lunch patrons are observed Assume the distribution of money spent is normal and round all answers to 4 decimal places where possible a What is the distribution of X X N b What is the distribution of a N c For a single randomly selected lunch patron find the probability that this patron s lunch cost is between 5 94 and 6 98 d For the group of 9 patrons find the probability that the average lunch cost is between 5 94 and 6 98 e For part d is the assumption that the distribution is normal necessary Yes No

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