Rebecca Robinson



Listed all public universities in the United
States and numbered them.
Used a random number generator to
generate 25 random colleges to use for the
mean of the United States.
All public universities in Michigan were used,
so a random sample was not used.
US Tuition
Public Universities in the
United States:
Frequency

 Mean = $16,599
 Std. Dev. = $6,369
8
6
4
Frequency
0
Cost
Public Universities in
Michigan:
Michigan Tuition
Frequency
 Mean = $20,140
10
2
 Std. Dev. = $4,780

12
7
6
5
4
3
2
1
0
Frequency
Cost
US Math SAT Scores
Public Universities in the
United States:
Frequency
350
375
400
425
450
475
500
525
550
575
600
625
650
675
700
More
 Mean = 528
 Std. Dev. = 65.87
Public Universities in
Michigan:
 Mean = 575
 Std. Dev. = 45.64
Score
Michigan Math SAT Scores
6
5
Frequency

Frequency
4
3
2
Frequency
1
0
350
375
400
425
450
475
500
525
550
575
600
625
650
675
700
More

8
7
6
5
4
3
2
1
0
Score
H0: μ = 0, where μ is the difference between the
means of university tuition in the United States
and university tuition in Michigan.
 H a: μ ≠ 0
 t = -2.0085
p-value = .05647
 We fail to reject H0 at the .05 level; since our pvalue is greater than .05, the difference
between the means of university tuition in the
United States and Michigan is not statistically
significant.

H0: μ = 0, where μ is the difference between the
means of math SAT scores of entering freshmen
in the United States and Michigan.
 H a: μ ≠ 0
 t = -2.618
p-value= .0127
 We reject H0 at the .05 level; since our p-value is
less than .05, there is evidence that the
difference between math SAT scores in the
United States and Michigan is statistically
significant.

There is a moderately
weak positive
correlation between
university out-of-state
tuition and math SAT
score of the entering
freshman.
r = .484
r2 = .234
United States Avg Math SAT Score
700
600
500
400
Avg Math SAT Score
300
200
100
0
$0
$10,000
$20,000
$30,000
$40,000
There is not a significant difference in out-of-state
tuition.
 However, there is a significant difference in the
entering math SAT score. Michigan tended to have
higher math SAT scores than colleges in the United
States in general.
 This could be because of the lack of information of
SAT scores for Michigan universities. ACT scores had
to be converted into SAT scores for the data, and
since the two exams are different, it could account for
the significant difference.
 Also, university tuition and math SAT scores are not
strongly related.
