Perform a one-way ANOVA on the data below....

[daphnaek001]

Perform a one-way ANOVA on the data below:

|    a1   |    a2   |    a3    |    a4    |
|         |         |          |          |
| x11 = 4 | x12 = 6 | x13 =  8 | x14 =  9 |
| x21 = 6 | x22 = 6 | x23 =  9 | x24 =  9 |
| x31 = 6 | x32 = 8 | x33 =  9 | x34 = 11 |
| x41 = 8 | x42 = 8 | x43 = 10 | x44 = 11 |
|         |         |          |          |
|  X1 = 6 |  X2 = 7 |  X3 =  9 |  X4 = 10 |

 

[galactus]

A calculator....Excel...you should have something to generate the data

instead of trudging through those formulas.

You didn't state a level of significance. I'll use 0.01.


I have an Excel program which performs ANOVAS.

I got:

\(\displaystyle \L\\H_{0}:{\mu_{1}}={\mu_{2}}={\mu_{3}}={\mu_{4}}\)

\(\displaystyle \L\\H_{a}:\text{there is at least one mean\\which is significantly different}\)


\(\displaystyle \L\\F_{s}(\text{test statistic})=8.\overline{88}\)

\(\displaystyle \L\\\text{critical value}=5.95\)

\(\displaystyle \L\\\text{p-value}=0.0022\)

Now, should you reject or fail to reject?.