Question

The average amount of money spent for lunch per person in the college cafeteria is $6.25 and the standard deviation is $2.28. Suppose that 17 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of X? X ~ N(,)

Answer 1

Answer: X ~ N(6.25, 2.28)

Step-by-step explanation

• Average: $6.25

,

• Standard deviation: $2.28

,

• Sample: 17

,

• The distribution of money spent is normal

Procedure

The distribution of X can be gotten as (m, s), where m represents the mean (average), and s represents the standard deviation, which is the standard deviation elevated to the second power.

Then, the distribution of X is X ~ N(6.25, 2.28)