Question

Three different traffic routes are tested for mean driving time. The entries in the Table 13.18 are the driving times in minutes on the three different routes.

Route 1	Route 2	Route 3
30	27	16
32	29	41
27	28	22
35	36	31

State${\mathrm{SS}}_{\text{between}},{\mathrm{SS}}_{\text{within}},$and the $F$statistic.

Short answer

The $S{S}_{Between}$is$26,$$S{S}_{Within}$is $441$and the$F$statistic is$.2653$

Step-by-step solution

Given information

Three different traffic routes, where as Route 1, Route 2, and Route 3 are tested for mean driving time.

Explanation

The sum of square of Errors and mean square Errors, is calculated by using $Ti-83$calculator. For this, click on STAT$\to$press1 $\to$EDIT, then put the above given weights of different groups data into the list $L1,L2$and $L3$. Then it will be:

Explanation

Then, press STAT $\to$arrow over the TESTS $\to$arrow down to ANOVA $\to$Press var then select1, press var then select 2, and press var then select 3 to fill the values of $L1,L2,$and $L3$. Then it will be:

Explanation

Press ENTER. The obtained output of calculated value sum of square of Errors and mean square Errors is given as: