Suppose that the monthlyphone bills of a population of households are normally d

Question

Suppose that the monthlyphone bills of a population of households are normally
distributed with a mean of $90 and standard deviation of $20. Arandom sample of 25 households is
taken from this population.
(a) What is the distribution of the average of their monthly phonebills?
(b) What is the probability that this average will exceed $100?
(c) What dollar amount will this average exceed with probability0.10? Thanks a lot. Suppose that the monthlyphone bills of a population of households are normally
distributed with a mean of $90 and standard deviation of $20. Arandom sample of 25 households is
taken from this population.
(a) What is the distribution of the average of their monthly phonebills?
(b) What is the probability that this average will exceed $100?
(c) What dollar amount will this average exceed with probability0.10? Thanks a lot.

Explanation / Answer

a. The distribution is normal.

b. 30.85%

c. $115.5

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