STATISTICS #2

[Sha9292]

The average amount of money spent for lunch per person in the college cafeteria is $7.42 and the standard deviation is $2.58. Suppose that 8 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) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $8.4717 and $9.0778. _______

b) For the group of 8 patrons, find the probability that the average lunch cost is between $8.4717 and $9.0778. _______

 

[Deleted member 4993]

The average amount of money spent for lunch per person in the college cafeteria is $7.42 and the standard deviation is $2.58. Suppose that 8 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) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $8.4717 and $9.0778. _______

b) For the group of 8 patrons, find the probability that the average lunch cost is between $8.4717 and $9.0778. _______

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[Dr.Peterson]

This question, too, is partly about the distribution of sample means. The first part, however, is just about the normal distribution. Can you work out at least that part?

 

[Milone2009]

Yes