Answer :
p = 3
n = 5
N = 15
x ¯ = 16
SST = ∑n(x−x ¯ ) 2
SST = 5(12−16) 2 +5(16−16) 2 +11(20−16) 2
= 160
MST = SSTp−1
MST = 1603−1
= 80
SSE = ∑(n−1)S 2
SSE = 4*4 + 4*1 + 4*16
= 84
MSE = SSEN−p
MSE = 8415−3
MSE = 7
F = MSTMSE
F = 807
= 11.429
n = 5
N = 15
x ¯ = 16
SST = ∑n(x−x ¯ ) 2
SST = 5(12−16) 2 +5(16−16) 2 +11(20−16) 2
= 160
MST = SSTp−1
MST = 1603−1
= 80
SSE = ∑(n−1)S 2
SSE = 4*4 + 4*1 + 4*16
= 84
MSE = SSEN−p
MSE = 8415−3
MSE = 7
F = MSTMSE
F = 807
= 11.429
