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 a=0.10 level of significance and the P-value method with the TI-84 Plus calculator.

1) State the appropriate null and alternate hypotheses. H0=, H1= This hypothesis test is a (left tailed, right tailed or two tailed) test

2) Compute the P-value. Round the answer to four decimal places.

3) Determine whether to reject H0 (reject or not reject)

4) There (is or is not) enough evidence to conclude that the mean tuition and fees for private institutions is greater than $33,500.

Answer 1

(1)

• Null hypothesis (H_o) : Mean tuition and fees for private institutions in california is $35000 that is μ = $35000
• Alternative Hypothesis (H₁) : Mean tuition and fees for private institutions in california is less than $35000 that is μ < $35000 (left tailed.)