Question

Calculate and interpret 90%, 95%, and 99% confidence intervals for both groups of approaches in question 5. Also provide 90%, 95%, and 99% confidence intervals for both groups when the sample size is increased from 10 to 150. Interpret all statistics. a. A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use the five step model as a guide and write a sentence or two of interpretation for your results.

Working	Middle	Upper
Class	Class	Class
10	11	7
9	10	5
4	5	2
2	2	0
1	0	0

b. Three different sections of the same Interstate highway, with roughly equal traffic volumes, have been patrolled by the State Police at different levels of intensity for the past six months. The posted speed limit is 55 and the speeds of a random samples of motorists have been registered for each of the three sections. Is there any statistically significant difference in the speeds? Use the five step model as a guide and write a sentence or two of interpretation for your results.

Lightly	Moderately	Heavily
Patrolled	Patrolled	Patrolled
55	57	50
48	58	51
58	58	60
65	55	58
72	55	55
67	59	52
54	58	55
65	54	53

Answer 1

a) Doing one way anova on the data given follwing is the output:

SUMMARY
Groups	Count	Sum	Average	Variance
Working class	5	26	5.2	16.7
Middle class	5	28	5.6	23.3
Upper class	5	14	2.8	9.7
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	22.93333	2	11.46667	0.692153	0.519412	3.885294
Within Groups	198.8	12	16.56667
Total	221.7333	14

Now Let us interpret this anova table:

here p-value is 0.519 and our H0 : means are equal for all the three groups, but since p-value is more than 0.05 we can't reject H0, thus there is no significant difference between the means.

b) Similarly doing one way anova in this case also, the table is:

SUMMARY
Groups	Count	Sum	Average	Variance
Lightly patrolled	8	484	60.5	64.28571
Moderately patrolled	8	454	56.75	3.357143
Heavily patrolled	8	434	54.25	11.92857
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	158.3333	2	79.16667	2.98474	0.0723	3.4668
Within Groups	557	21	26.52381
Total	715.3333	23

Here also p-value is more than 0.05 (0.0723), so we cannot reject the H0: that average speed is the same irrespective of patrolling level.

The inital part of question doesn't seem to be related to these parts. Sorry if i missed some part.