1. Jaywalking is a huge safety issue in Oxford, often causing cars to get into accidents. Use the data below to establish hypotheses and calculate the ANOVA for the relationship between age and number of citations for jay walking. State and explain your decision with regard to whether the H₀ is ultimately rejected or retained.

18-30	31-50	50+
4	1	5
3	0	6
5	0	6
4	1	4
		5

Step 1: State the H_o and the H₁.

H₀:

H₁:

Step 2: Identify the distribution and compute the df.

The distribution is _______ distribution.

df_B=

df_W =

Step 3: Identify the critical value of the test statistic and state the decision rule.

=

critical value =

Step 4: Review the obtained value of the test statistic.

Age Group
18-30 (x1)	x12	31-50 (x2)	x22	50+ (x3)	x32
4	16	1	1	5	25
3	9	0	0	6	36
5	25	0	0	6	36
4	16	1	1	4	16
				5	25
n1= 4		n2= 4		n3= 5

Grand Mean:

Total Sums of Squares:

Between-groups Sums of Squares:

= 4(4 - 3.38)² + 4(0.5 - 3.38)² + 5(5.2 - 3.38)²

= 4(0.62)² + 4(-2.88)²+ 5(1.82)²

= 4(0.3844) + 4(8.2944) + 5(3.3124)

= 1.54 + 33.18 + 16.56 = 51.28

Within-groups Sums of Squares:

SS_W= SS_T- SS_B= 57.08 - 51.28 = 5.8

Compute the Mean Squares:

MS_B=

MS_W=

Compute the F statistic:

F_obt=

Step 5: Make a decision about the null and state the substantive conclusion.