Consider the data in the table on the next slide representing four levels of lod

Question

Consider the data in the table on the next slide representing four levels of lodging on a cruise ship, and a random sample of six passengers from each level. The yield is an assessment of the amount of motion felt during cruising (scaled from I through 30). Is there sufficient evidence from which to conclude that the level of the room on the cruise ship affects perception of the degree of motion? Perform an F-test with a significance level of alpha of 0.05 24 28 17 16 16 16 25 14 14 17 14 17 27 20 23 23 14 18

Explanation / Answer

here we use one-way anova with

here null hypothesis H0: all the lodging levels are same and

alternate hypothsis H1: atleast two levels are different to one-another

using ms-excel and found that p-value=0.0119 of F of between group(loding level) is less than alpah=0.05,

so we reject null hypothesis H0 and conclude that level of the room on the curise ship affects perception of the degree of motion.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 6 86 14.33333 31.06667 Column 2 6 100 16.66667 18.26667 Column 3 6 138 23 17.2 Column 4 6 132 22 22 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 313.3333 3 104.4444 4.718876 0.011973 3.098391 Within Groups 442.6667 20 22.13333 Total 756 23

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