a. Perform the ANOVA. Looking at the data, which of the following is true? b.Loo

Question

a. Perform the ANOVA. Looking at the data, which of the following is true?

b.Look at your ANOVA Excel output . What is the p-value associated with the hypothesis test? Express your answer to four decimal places with no leading zero.

The treatments are in columns In "The Effect of Nozzle Design on the Stability and Performance of Turbulent Water Jets" (Fire Safety Journal, August 1981, Vol. 4), C. Theobald described an experiment in which a shape measurement was determined for several different nozzle types at different levels of jet efflux velocity. Interest in this experiment focuses primarily on nozzle type, and velocity is a nuisance factor. The data are as follows. Use Excel to do an ANOVA to determine if there is any difference between nozzle types. Jet Efflux Velocity (m/s) Nozzle Type 11.73 14.37 16.59 20.43 23.46 28.74 0.78 0.80 0.81 0.75 0.77 0.78 0.85 0.85 0.92 0.86 0.81 0.83 0.93 0.92 0.95 0.89 0.89 0.83 1.14 0.97 0.98 0.88 0.86 0.83 0.97 0.86 0.78 0.76 0.76 0.75 2 4

Explanation / Answer

I have performed ANOVA analysis. The true statements are

(a) The treatments are in rows. Correct that makes option a incorrect

(d) There are five treatments . so inCorrect

Option b is the only correct option.

ANOVA analysis

Here p - value = 0.0031

Anova: Single Factor SUMMARY Groups Count Sum Average Variance 1 6 4.69 0.781667 0.000457 2 6 5.12 0.853333 0.001387 3 6 5.41 0.901667 0.001777 4 6 5.66 0.943333 0.012907 5 6 4.88 0.813333 0.007507 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 0.10218 4 0.025545 5.314494 0.003079 2.75871 Within Groups 0.120167 25 0.004807 Total 0.222347 29

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