For each question, first write your null and alternative hypotheses, state the t

Question

For each question, first write your null and alternative hypotheses, state the type of test that you used (independent or dependent t test, one-way or repeated-measures ANOVA), then include your data (tables), and summarize your findings.

The amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed here. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference in mean sodium exists among condiments, cereals, and desserts?

If there is a significant difference, where (between which types of foods) is the difference?

270 260 100 130 220 180 230 290 250 180 290 250 80 200 300 70 320 360 200 140 300 160

Explanation / Answer

H0: There is no difference between means of three groups

H1: there is a differencebetween means of three groups

alpha:5%

Test statistic: (We use ANOVA one way classification)

From Excel

F cal=2.3985

Conclusion:

P value=0.1178 > 0.05 We accept the H0.

Hence we conclude that there is no difference between means of three groups

Anova: Single Factor SUMMARY Groups Count Sum Average Variance condiments 7 1160 165.7143 5695.238 cereals 7 1720 245.7143 3928.571 desserts 8 1900 237.5 7335.714 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 27543.51 2 13771.75 2.398538 0.117811 3.521893 Within Groups 109092.9 19 5741.729 Total 136636.4 21

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