Question

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term with a standard deviation of $1,200, but a financial administrator believes that the average cost is MORE. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. Let alpha = 0.05. What is the critical z-value for this test?

Answer 1

z=3.8196

Explanation:

-We notice that this is a normal distribution problem.

-Given the mean is $8500, standard deviation is $1200 , and n=350, the critical z-value using alpha=0.05 is calculated as:

`z=(x-\mu_o)/(\sigma/√(n))\\\\=(8745-8500)/(1200√(350))\\\\\\=3.8196`

Hence, the test statitic is z=3.8196