Table 5 shows the data regarding the overall results for statistics class for FIVE (5) randomly selected students from each of the THREE (3) batches. Does this data provide evidence that there is any...

Extracted text: Table 5 shows the data regarding the overall results for statistics class for FIVE (5) randomly selected students from each of the THREE (3) batches. Does this data provide evidence that there is any significant difference in the results throughout all the batches? Test the appropriate hypothesis using 95% significance level. (Note: please provide your answer in 3 d.p.) Table 5 Batch 1 Batch 2 Batch 3 88.5 71.5 73.5 80.0 77.3 72.1 74.5 69.3 78.4 74.3 78.1 95.4 88.0 88.4 77.1 Hypothesis statement: Ho: H1FH2=µ3 Hj: at least one mean is different 1) Find the parameters for each batch: Batch 1: nj=5, x1 $1= Batch 2: n2=5, x2= S2= Batch 3: n3=5, x3= S3= 2. 2) Find the variance between samples, ns: ns? ÷ 3 = 2. 3) Find variance within samples, s: .2 S ÷ 3 = 4) Test statistics: F = 5) Determine the degree of freedom Denominator Numerator 6) Critical value: 7) Decision and conclusion: a)Reject H0,There is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches b)Reject H0, There is no sufficient evidence to claim that at least 1 mean is different throughout the 3 batches c)Fail Reject H0,there is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches d)Reject H0,there is no sufficient evidence to claim that at least 1 mean is different throughout the 3batches N 18 II 18 II