Samples of peanut butter produced by three different manufacturers were tested for salt content (in milligrams), with the following results:

Brand 1 2.5 8.3 3.1 4.7 7.5 6.3 Brand 2 4.5 3.8 5.6 7.2 3.2 2.7 Brand 3 5.3 3.5 2.4 6.8 4.2 3.0 Is there a significant difference in the mean amount of salt in these samples? Use 0.05.

a. State the null and alternative hypotheses.

b. Determine the test criteria: assumptions, level of significance, test statistic.

c. Using the information on the computer printout that follows, state the decision and conclusion to the hypothesis test.

d. What does the p-value tell you? Explain.

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Analysis of Variance Source DF SS MS F P Factor 2 4.68 2.34 0.64 0.541 Error 15 54.88 3.66 Total 17 59.56 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev Brand1 6 5.400 2.359 Brand2 6 4.500 1.669 Brand3 6 4.200 1.621 (---- *) -) (----------) --+ Pooled StDev = 1.913 3.0 4.5 6.0 7.5