Question

College tuition: The mean annual tuition and fees in the 2013 -2014 academic year for a sample of 14  private colleges in California was \$33,500 with a standard deviation of

\$7350. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is less than \$35,000? Use the =α0.10 level of significance and the P-value method with the TI-84 Plus calculator.

A. State the appropriate null and alternate hypotheses

 H0: __ H1: __ This hypothesis test is a (Choose one)( right, left, or two tailed) test.

B.Compute theP-value. Round the P- value to at least four decimal places.

P-value__??

C. Determine whether to rejectH0

(Reject OR do not reject hypothesis) the null hypothesisH0

D. State a conclusion. There is or is not enough information to support claim

Solution:

a)

H0 : = 35000

H1 : < 35000

This hypothesis test is a left tail.

b.)

t test for mean on TI*\$ plus calculator:

Press STAT

2. t TEST

Our inputs is Stats

: 35000

: 33500

sx : 7350

n : 14

: <

Calculate

Output:

t = -0.7636

p = 0.2294

P-value = 0.2294

C)

do not reject the null hypothesis H0

D)

There is not enough information to support claim.