LCCC Standard Deviation & Test Statistic Tuition Costs Hypothesis Testing Worksheet

Hypothesis Testing Project

Listed Below are the Tuition Costs for the 50 States in the U.S. for in and out of state

State	In – State	Out of State	State	In State	Out of State
Alabama	$10,539	$25,760	Montana	$ 6.920	$ 23,220
Alaska	7,440	22,840	Nebraska	8,270	20,310
Arizona	11,220	29,750	New Hampshire	16,070	28,430
Arkansas	8,550	21,000	New Jersey	13,870	26,600
California	9.680	32,590	New Mexico	6,920	20,060
Colorado	10,800	30,600	New York	7,940	24,520
Connecticut	12,390	29,020	N. Carolina	7,380	19,500
Delaware	12,270	30,970	N. Dakota	8,200	19,420
Florida	6,360	21,880	Ohio	10,510	25,000
Georgia	8,570	26,760	Oklahoma	8,460	22,250
Hawaii	10,660	31,090	Oregon	10,360	30,300
Idaho	7,250	31,090	Pennsylvania	14,440	26,960
Illinois	13,620	23,480	Rhode Island	12,230	28,910
Indiana	9.360	29,170	S. Carolina	12,610	31,350
Iowa	8,760	29,170	S. Dakota	8,450	12,480
Kansas	9,230	23,910	Tennessee	9,790	26,640
Kentucky	10,300	23,710	Texas	9,840	26,640
Louisiana	9,300	23,280	Utah	6,790	20,730
Maine	9,970	27,010	Vermont	16,040	38,990
Maryland	9,580	22,060	Virginia	12,820	33,270
Massachusetts	12,730	29,220	Washington	9,480	29,300
Michigan	12,930	36,840	W. Virginia	7,890	21,550
Minnesota	11,300	20,890	Wisconsin	8,960	22,930
Mississippi	8,870	19,060	Wyoming	5,220	16,830
Missouri	8,870	23,220

• Random choose 30 random tuition cost from the above table either for In-State or Out of State tuition cost.
• Find the mean and the standard deviation for the data set you chose.
• The College Board is an American not-for-profit organization that was formed in December 1899 as the College Entrance Examination Board to expand access to higher education. While the College Board is not an association of colleges, it runs a membership association of institutions, including over 6,000 schools, colleges, universities, and other educational organizations. The College Board states that the Average Total Cost of Public Colleges: $25,290 (in-state) $40,940 (out-of-state) and the Average Total Cost of Private Colleges: $50,900.
• Depending upon whether you chose In-State or Out- of-State, create the hypothesis student t test with a 0.05 level of significance, is greater than or less than the stated values above.
• The standard deviation is known to be $659 for college tuition, complete the following hypothesis test for that the standard deviation of college tuition is not equal to $659.

• State the null and alternate hypothesis.
• Find the critical values:Alpha ______d.f ________Critical t: _______
• Compute the sample test statistic using the formula : t =
• Complete the diagram:
• Indicate whether to reject of do not reject Ho. ____________________
• Write your written conclusion below:

a) State the null and alternate hypothesis:

• Find the critical values:Alpha ______d.f ________ = _________ = _______
• Find the test statistic:
• Complete the diagram:
• Indicate whether to reject of do not reject Ho. ____________________

Write your written conclusion below: