Summarize the results in an ANOVA table Round answers to two

Summarize the results in an ANOVA table. (Round answers to two decimal places.)

Show calculations and supporting reasons for your conclusion.

Solution

Sol)

NULL HYPOTHESIS: All the means of four types are equal

ALTERNATIVE HYPOTHESIS: Al the means of four types are not equal

LEVEL OF SIGNIFICANCE: 1%

TEST STATISTIC:

We Use Anova One way (F test) to find the difference between several means

From the EXCEL

CONCLUSION:

F cal= 10.91 and F critical value at 1% is=4.377

Hence F cal > F critical value, then we reject the null hypothesis.

ie., All the four groups are having different means.

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Carbonate 10 260.1 26.01 11.241
Silicate 10 247.3 24.73 19.69789
magnetite 10 300.6 30.06 7.996
hematite 10 338.5 33.85 23.81389
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 513.6348 3 171.2116 10.9141 3.04E-05 4.377096
Within Groups 564.739 36 15.68719
Total 1078.374 39
Summarize the results in an ANOVA table. (Round answers to two decimal places.) Show calculations and supporting reasons for your conclusion.SolutionSol) NULL H

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