Question

Please help me answer this question for my Statistical Methods subject. PLEASE answer it seriously and completely, or better not answer it if not then, really appreciate it, thank you.

experiment using 3 (a) The ANOVA table below shows the result of an randomized complete block design d.f. Source SS Treatment Block 90.917 18.167 2 Error 6 3.833 Total 11 112.917 = 0,05, test differences among Using (i) treatment means block means. (11) (40 marks) en (b) A mathematics teacher wishes to see whether there is a relationship between the number of homework problems a student completes and her or his exam score. The data are shown below. Using the Spearman rank correlation coefficient, test the hypothesis that there is no relationship at a 0.05 No. of homework problems 59 110 75 65 56904550 87 77 100 90 87 70 93 72 60 98 Exam score (60 marks)

Answer 1

3. a)

df mss Source SS SST/t-1 MST/MSE SSB/r-1 MSB/MSE sSE/r-1*t-1 treatmentt-1 SST block r-1 SSB (r-1) (t-1) SSE error TSS total rt-1 df p value source SS mss 0.000143 as p value<0.05, there is significant difference in treatment means 0.00529 as p value<0.05, there is significant difference in block means 30.30567 47.43908 treatment 3 90.917 block 9.0835 14.21889 2 18.167 3.833 0.638833 6 error total 11 112.917

b)

no of homework problems	rank of no of problems	exam score	rank of exam score	difference between ranks (d)	d^2
50	8	60	9	-1	1
56	7	70	8	-1	1
45	9	72	7	2	4
59	6	77	6	0	0
65	5	87	5	0	0
75	4	90	4	0	0
90	2	93	3	-1	1
87	3	98	2	1	1
110	1	100	1	0	0
				total	8

R=1-(6*sum(d^2)/n^3-n)

R=1-(6*8/9^3-9)

R=9.934156

p value=0.001

here p value is less than alpha=0.05

therefore the Ho is rejected.So you must accept the alternative hypothesis (that there is a very strong positive correlation between your data sets) and reject the null hypothesis that there is no correlation.