Question

INTRODUCTION: Colleges often report a combined tuition and fees figure. According to the College Board, the average cost of tuition for the 2017–2018 school year was $34,740 at private colleges, $9,970 for state residents at public colleges, and$25,620 for out-of-state residents attending public universities. Assumeaverage yearly tuition cost of instate residents of 4-yr. public college is (mu) “μ”>/= is $12070per year. (Null Hypothesis))

Research online (by going to at least 15 college websites) to find costs of different public colleges to test this claim. (Hint: use Facts & Figurese,gRutgers University,NJ)

Use the T-testfor a mean, since your sample is going to be less than 30 and an unknown population standard deviation.

Note: Make sure that your numbers only contain undergraduates and not graduates. As some of the websites were specific as to undergraduate or graduate and some probably contain both.

HYPOTHESIS:I think the average cost of tuition is lower than the assumed average stated.

Ho: μ(mu) >/= $12070.

H1:μ(mu) < $12070 (Claim)

DATA COLLECTION:Collect undergraduate students enrollment data from various college websites. Tabulate cost of tuition per year and the number of students enrolled. I already collected data for #1,  an example and tubulated it as follows:

#	College	Tuition       (In-state)	Number of Students
1	Rutgers University–New Brunswick	$11,999	49,577
2	Pace University	$ 42,772	9,000
3	Hofstra University	42,160	11,131
4	Long Island University	36,256	16,092
5	Adelphi University	35,740	7,859
6	New York Institute of Technology	$34,600	8,306
7	Mercy College	18,392	11,295
8	Farmingdale State College	7,860	8,648
9	Stony Brook University	25, 471	17,364
10	New York University	49,062	26,417
11	SUNY Old Westbury	7,683	4,910
12	Hunter College	6,782	23,018
13	Baruch College	6,810	18,090
14	Columbia University	55,056	32,429
15	Cornell University	50,953	21,904

1. Find the lowest and the highest tuition. Calculate Range, Mean and Medianfor tuitions fees and enrollments.

HYPOTHESIS TESTING : (T-Test for the Population Mean, When σIs Unknown  (T-Test for a Mean)

Step 1: Identify the null and alternative hypotheses

Step 2: Set a value for the significance level, α = 0.05is specified for this test

Step 3 : Determine the appropriate critical value

(Hint: Find the critical value at a=.025 and d.f. = 14, the critical value is -2.145.)- one tail

Step 4: Calculate the appropriate test statistic (i.e t-test statistic-  “t alpha” )        

Step 5:  Compare the t-test statistic with the critical t-score.  Compute the sample test value.

Step 6: Make the decision to reject or not reject the null hypothesis.

Step 7: Summarize the results. (conclusion)           

Answer 1