Question

This Excel file DI Basketball Graduation Rates shows the graduation rates for the men's and women's...

This Excel file DI Basketball Graduation Rates shows the graduation rates for the men's and women's basketball teams that participated in the 2011 NCAA division I basketball tournaments. There are data for 67 men's teams and 63 women's teams since Princeton had teams in both tournaments but does not report graduation rates.

Use the data to calculate a 90% confidence interval for uM - uF, the difference in the mean graduation rates for all division I men's and women's basketball teams. Calculate the means and standard deviations to 2 decimal places.

1 lower bound of confidence interval

2 upper bound of confidence interval

Table info:

School Men/Women Graduation Rate

Akron men 38

Alabama State men 63

Arizona men 20

Arkansas-Little Rock men 92

Belmont men 100

Boston men 90

Bucknell men 91

Butler men 83

BYU men 100

Cincinnati men 53

Clemson men 71

Connecticut men 31

Duke men 83

Florida men 44

Florida State men 73

George Mason men 67

Georgetown men 78

Georgia men 36

Gonzaga men 73

Hampton men 67

Illinois men 100

Inidiana State men 67

Kansas men 80

Kansas State men 40

Kentucky men 44

Long Island men 78

Louisville men 50

Marquette men 91

Memphis men 58

Michigan men 36

Michigan State men 50

Missouri men 44

Morehead State men 43

North Carolina men 88

Northern Colorado men 77

Notre Dame men 100

Oakland men 75

Ohio State men 64

Old Dominion men 63

Penn State men 86

Pittsburgh men 64

Purdu men 67

Richmond men 83

San Diego State men 58

St. John's men 70

St. Peter's College men 70

Syracuse men 54

Temple men 33

Tennessee men 40

Texas men 42

Texas A&M men 64

UAB men 25

UC Santa Barbara men 77

UCLA men 70

UNC Asheville men 50

UNLV men 67

USC men 42

UT San Anotonio men 50

Utah State men 100

Vanderbilt men 93

VCU men 56

Villanova men 100

Washington men 44

West Virginia men 71

Wisconsin men 70

Wofford men 100

Xavier men 92

Arizona State women 92

Baylor women 88

Bowling Green women 100

California State, Fresno women 80

California, Davis women 86

Connecticut women 92

Dayton women 100

DePau women 92

Duke women 100

Florida State women 77

Gardner-Webb women 100

Georgetown women 91

Georgia women 77

Georgia Tech women 77

Gonzaga women 94

Green Bay women 92

Hampton women 50

Houston women 78

Iowa women 100

Iowa State women 100

James Madison women 71

Kansas State women 92

Kentucky women 91

Louisiana Tech women 56

Louisville women 93

Marist women 100

Marquette women 92

Maryland women 67

McNeese State women 81

Miami women 100

Michigan State women 77

Middle Tennessee women 85

Montana women 83

Navy women 94

North Carolina women 100

Northern Iowa women 10

Notre Dame women 100

Ohio State women 100

Oklahoma women 92

Penn State women 100

Prairie View A&M women 57

Purdu women 71

Rutgers women 90

Samford University women 100

South Dakota State women 100

St. Francis (PA) women 100

St. John's women 100

Stanford women 100

Stetson women 67

Temple women 71

Tennessee women 100

Tennessee, Martin women 86

Texas women 79

Texas women 65

Texas Tech women 100

UALR women 89

UCF women 94

UCLA women 93

University of Hartford women 100

University of Utah women 83

Vanderbilt women 100

West Virginia women 70

Xavier women 100

Select the choice below that correctly interprets the confidence interval.

Since the interval is entirely negative, it appears that the DI women's basketball mean graduation rate is higher than the DI men's basketball mean graduation rate.

Since the interval is entirely negative, it appears that the DI men's basketball mean graduation rate is higher than the DI women's basketball mean graduation rate.    

Since the interval is entirely negative, it appears that their is no significant difference between the DI women's basketball mean graduation rate and the DI men's basketball mean graduation rate.

Since the interval contains zero we can conclude that both graduation rates are too low.

Since the interval is entirely positive it appears that both men's and women's mean basketball graduation rates are higher than the graduation rate for the general student body.

Homework Answers

Answer #1

using minitab>stat>basic stat>two sample t

we have

Two-Sample T-Test and CI: men, women

Two-sample T for men vs women

N Mean StDev SE Mean
men 67 66.63 21.39 2.6
women 63 86.75 16.23 2.0


Difference = μ (men) - μ (women)
Estimate for difference: -20.12
90% CI for difference: (-25.66, -14.58)
T-Test of difference = 0 (vs ≠): T-Value = -6.01 P-Value = 0.000 DF = 128
Both use Pooled StDev = 19.0627

the means and standard deviations are

Mean StDev  
men 66.63 21.39
women 86.75 16.23   

1 lower bound of the confidence interval is -25.66

2 upper bound of confidence interval is -14.58

Since the interval is entirely negative, it appears that the DI women's basketball mean graduation rate is higher than the DI men's basketball mean graduation rate.

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