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The data in the table were collected from randomly selected flights at airports

ID: 3056072 • Letter: T

Question

The data in the table were collected from randomly selected flights at airports in three cities and indicate the number of minutes that each plane was behind schedule at its departure. City 3 47 38 36 13 20 27 25 a. Perform a one-way ANOVA using =0.05 to determine if there is a difference in the average lateness of flights from these three airports. b. Perform a multiple comparison test to determine which pairs are different using = 0.05. Click the icon to view a studentized range table for,-0.05. 20 13 a. What are the correct hypotheses for the one-way ANOVA test? A Ho: Not all the means are equal. OC. H: Not all the means are equal. Complete the ANOVA summary table below. Sum of Degrees of Mean Sum of Squares Freedom Squares Within Total Round to three decimal places as needed.)

Explanation / Answer

a] option d] H0 : mu1=mu2=mu3 Vs H1 : Not all the means are equal

b] By using MINITAB,

MTB > OneWay;
SUBC> Response 'response';
SUBC> Categorical 'city';
SUBC> IType 0;
SUBC> GMCI;
SUBC> GIntPlot;
SUBC> TMethod;
SUBC> TFactor;
SUBC> TANOVA;
SUBC> TSummary;
SUBC> TMeans;
SUBC> Nodefault.

One-way ANOVA: response versus city

Method

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05

Factor Information

Factor Levels Values
city 3 1, 2, 3

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
city 2 1716.4 858.20 14.77 0.001
Error 12 697.2 58.10
Total 14 2413.6

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