The Mean Annual Tuition and Fees for a Sample of 12

question 1

Essay

The mean annual tuition and fees for a sample of 12 private colleges was $39,200 with a standard deviation of $4300. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $35,500.
i). State the null and alternate hypotheses.
ii). Compute the value of the test statistic and state the number of degrees of freed
iii). State a conclusion regarding $H _ { 0 }$ . Use the $\alpha = 0.05$ level of significance.

---

Definitions:

Distributive Property

A property in mathematics that allows you to multiply a sum by multiplying each addend separately and then adding the products.

Exponential Expression

An expression that involves an exponent, indicating how many times the base is multiplied by itself.

Exponential Expression

A mathematical phrase where numbers or variables are raised to a power or exponent.

Associative Property

A mathematical rule stating that the way in which numbers are grouped in operations does not change their result.