Question

The number of grams of fiber per serving is listed below for a random sample of foods. At LaTeX: \alpha α = .05, test if there is a difference in the mean fiber content among the three groups of food? Fruit Vegetables Protein Bars 3 2 8 4 4 10 5 4 7 8 6 8 8 6 9 3 3 11 4 12 13 What is the correct cv?

Answer 1

Answer Date: 01/05/2019 To test the hypothesis is that there is a difference in the mean fiber content among the three groups of food at 5% level of significance. The null and alternative hypothesis is, H, : at least one μ is unequal. The F-test statistics is By using Excel software, find F-test statistics with the help of following steps 1) Import the data. 2) Choose ANOVA: Single Factor from Data Analysis in Data menu. 3) Choose Input Range and Column in Groups by. 4) Choose Output Range. 5) Click Ok.

ANOVA Source of Variation Between Groups Within Groups Total P-value MS F crit 86 119.1428571 205.1428571 2 18 6.619048 20 43 6.496403 0.00751804 3.55455715 From the Excel output, the F-test statistics is 6.50 The F-critical value for this test is, From the Excel output, theF-critical value for this test is3.55 Decision The F-test statistics is 6.50 is greater than F-critical value which is 3.55, the null hypothesis is rejected at 5% level of significance. There is sufficient evidence that there is a difference in the mean fiber content among the three groups of food. The result is statistically significant.