An ANOVA was run on the weight of randomly selected packages shipped by delivery

Question

An ANOVA was run on the weight of randomly selected packages shipped by delivery companies A, B, and C. Use 0.05 to determine if there is a difference in the average package weights shipped by these three delivery companies. SUMMARY Groups Count Sum Average Variance 95.4 11.925 27.7421 67.2771 21.7657 8 8 8 64 48 8 6 ANOVA Source of VariationSS Between Groups 145.363 272.682 1.867 0.1793 3.4668 Within Groups 817.495 21 38.928 Total df MS F P-value F crit 962.858 23 What is the correct summary? There is not enough evidence to support the claim that there is a difference in the average package weight shipped by the three companies. B) The package weights are equal There is enough evidence to support the claim that there is a difference in the average package weight shipped by the three companies. Evidence supports the claim that all the package weights are different.

Explanation / Answer

Question -1 . Here F value for the ANOVA test is less than the critical value of F. (F < Fcritical )

So Option A is correct that there is not enough evidence to support the claim that there is a difference in the average package weight shipped by the three companies.

Question -2

Observed Table which is given

Expected Table

Chi square value = (oi - Ei)2/Ei

so X2 = 0.281  

p - value = CHITEST (0.05, df) = CHIITEST (0.05, 2) = 0.8689

Fail to reject Null hypothesis, option A is correct.

Low Income Medium Income High Income Total Male 10 9 8 27 Female 13 16 12 41 Sum 23 25 20 68

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