A random sample of five observations from three normally distributed populations produced the following data:(You may find it useful to reference theFtable.)

Treatments
A	B	C
23	21	22
16	29	22
18	18	18
30	20	31
27	23	22
x?Ax?A= 22.8	x?Bx?B= 22.2	x?Cx?C= 23.0
s2AsA2= 34.7	s2BsB2= 17.7	s2CsC2= 23.0

Click here for the Excel Data File

a.Calculate the grand mean.(Roundfinal answer to 4 decimal places.)

b.CalculateSSTRandMSTR.(Round final answers to 4 decimal places.) c.CalculateSSEandMSE.(Round final answers to 4 decimal places.) d.Specify the competing hypotheses in order to determine whether some differences exist between the population means. multiple choice 1

• H₀:?_A=?_B=?_C;H_A: Not all population means are equal.
• H₀:?_A??_B??_C;H_A: Not all population means are equal.
• H₀:?_A??_B??_C;H_A: Not all population means are equal.

e-1.Calculate the value of theF_(df1,df2)test statistic.(Round final answer to 3 decimal places.)

e-2.Find thep-value. multiple choice 2