Discussion:
Difference in the mean income.
The null hypothesis is that the mean scores are the same for the three ratings.
The null hypothesis is:
H0: µ1 = µ2 = µ3
The alternate hypothesis is that the mean scores are not all the same for the three ratings.
H1: Treatment means are not all the same or "at least two mean scores are not equal." If the null hypothesis is not rejected, we conclude that there is no difference in the mean income based on the developer's findings.
The level of significance is .05.
The test statistic follows the F distribution.
Degrees of freedom in the numerator = k - 1 = 3 - 1 = 2. Degrees of freedom in the denominator = n - k = 12 - 3 = 9.
The decision rule is to reject H0 if the computed value of F > 4.26.
Step 5: Select the sample, perform the calculations, and make a decision.
Tides Hotel & Casino Golden Hotel & Casino Jackpot Hotel & Casino Total
2003 $10,653 $6,599 $866
2004 $12,988 $7,341 $1,192
2005 $15,045 $8,931 $1,364
2006 $19,218 $10,225 $1,819
Column Total $57,904 $33,096 $5,241 $96,241
n 4 4 4 12
Mean $14,476 $8,274 $1,310.25 $8,020.10
The grand mean is $8,020.10.
ANOVA Table
Source SS df MS F p-value
Treatment 347,060,788.17 2 173,530,394.083 32.52 .0001
Error 48,027,018.75 9 5,336,335.417
Total 395,087,806.92 11
Interpret the results of your ANOVA and the significance of the results to the organization as a whole.