- Published: September 11, 2022
- Updated: September 11, 2022
- University / College: The Australian National University
- Level: Masters
- Language: English
- Downloads: 8
quantitative analysis of a data sample Q1 Mean = 227. 83 2. Q2 SD 47 3. Q3 225. 53 50th percentile 4. Q4 228. 53 75th percentile Taking the answers to #3 and 4, what percent of students have a score between these 2 limits? 25%
5. Repeat questions 1-5 for boys in grades 4-5.
Q1
Mean = 223. 83
Q2
SD = 1. 36
Q3 222. 47
25th percentile
Q4 225. 19
50th percentile
Taking the answers to #3 and 4, what percent of students have a score between these 2 limits? 25%
6. Q6
Females had the higher mean score in English. The difference is significant (p-value = 0. 024)
7. Q7
The correlation co-efficient = -0. 2072. As behavior referral increases, there is a drop in performance in English
8. Q8= 0. 1833
9. Q9
Whites perform better in English as compared to other races and have the highest mean score among the 5 race categories. The mean score for whites in English MCAS is 241. 6 and is followed by Asians with a mean of 235. 2. Blacks, Hispanics, and Other races are closely tied at 224. 85, 224. 13, and 223 respectively. This is shown below:
Race
Mean
Std. Dev
Asian
235. 2
3. 666061
Black
224. 8462
1. 504489
Hispanic
224. 125
1. 329958
Other
223
10. 34408
White
241. 6
6. 794115
10. Q. 10
The hypothesis is that race affect a student’s performance in English exams. This is the null hypothesis. The alternative hypothesis is that the differences in group means is not significant.
We use ANOVA to test this hypothesis:
From the analysis, we obtain a p-value or 0. 0025 and hence conclude that performance in English is affected by race.
