The average amount of money spent for lunch per person in the college cafeteria is $6.28 and the standard deviation is $2.92. Suppose that 8 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. What is the distribution of XX? XX~ N(,) What is the distribution of ¯xx¯? ¯xx¯~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $4.74 and $5.38. For the group of 8 patrons, find the probability that the average lunch cost is between $4.74 and $5.38. For part d), is the assumption that the distribution is normal necessary? NoYes
The average amount of money spent for lunch per person in the college cafeteria is $6.28 and the standard deviation is $2.92. Suppose that 8 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible.
What is the distribution of
X
X
?
X
X
~ N(,)
What is the distribution of
¯
x
x¯
?
¯
x
x¯
~ N(,)
For a single randomly selected lunch patron, find the
For the group of 8 patrons, find the probability that the average lunch cost is between $4.74 and $5.38.
For part d), is the assumption that the distribution is normal necessary? NoYes
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