the Study

Sampling

In order to get our data, we obtained the 3^rd quarter attendance lists from Mrs. Caso.  This lists the names and grades of all those who were tardy or absent for the 39 days that made up 3^rd quarter.  Because these lists have the names of all those who were tardy from all of North Olmsted High School, our study is considered a census; therefore, there is no sample size.  Our population of interest is all the students at North Olmsted High School.

Day	observed	expected		observed*	expected*
Monday	264	291.6		264	291.6
Tuesday	271	291.6		347	291.6
Wednesday	286	291.6		286	291.6
Thursday	287	291.6		287	291.6
Friday	274	291.6		274	291.6
		1458			1458

(*with outliers)

 

Descriptive Statistics: observed

Variable     N     Mean     Median     TrMean     StDev SE Mean

observed     5     276.40   274.00    276.40     9.91     4.43

Variable Minimum Maximum Q1 Q3

observed 264.00 287.00 267.50 286.50

 

Descriptive Statistics: observed*

Variable     N     Mean     Median     TrMean    StDev    SE Mean

observed     5     291.6     286.0     291.6     32.4     14.5

Variable Minimum Maximum Q1 Q3

observed 264.0 347.0 269.0 317.0

(*with outliers)

 

 

With Outliers

 Ho:  The proportions of NOHS students arriving tardy for each day of the week is the same.

Ha:  The proportions of NOHS students arriving tardy for each day of the week is not the same.

alpha=.05

 

 

(264-291.6)²  +  (347 – 291.6) ²  +  (286 – 291.6) ²  +  (247 – 291.6) ²  +  (274 – 291.6)²  291.6                   291.6                   291.6                     291.6                     291.6    

21.1289= x²

Df= 4

P <0.0005

We can reject the null hypothesis at any reasonable level of significance because our p value is less than .0005.  Therefore there is significant evidence to conclude that the proportions of NOHS students arriving tardy for each day differs from day to day.

 

    

 

Without Outliers

Ho:  The proportions of NOHS students arriving tardy for each day of the week is the same.

Ha:  The proportions of NOHS students arriving tardy for each day of the week is not the same.

alpha=.05

 

 

(264-291.6)²  + (271 – 291.6) ² + (286 – 291.6) ²  + (247 – 291.6) ² + (274 – 291.6)²291.6                        291.6                   291.6                     291.6                     291.6             = x²

12.0589= x²

Df= 4

P =.02< x²<.01

Since our p value is less than the .05 level of significance we reject the null hypothesis.  Therefore there is significant evidence to conclude that the proportions of NOHS students arriving tardy for each day differs from day to day.