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Researchers wanted to compare the overall nutrient intake of children (ages 2 to 19) who exclusively use skim milk instead of 1%, 2%, or whole milk. The researchers combined children who consumed 1% or 2% milk into a mixed milk" category. The accomparing data represent the daily calcium intake (in mg) for a random sample of eight children in each category Complete puts (a) through (c) Click the icon to view the data table (a) Is there sufficient evidence to support the belief that at least one of the means in different from the others at the a = 005 level of significance? Note that the requirements for a one-way ANOVA are satisfied State the null and alternative hypotheses OA H Hakim mesed-whole OB. Hos ou whole Hy Peammed Hatole Hy At least two of the means are the same OCH Hk med whole OD. Ho Hammed How Hy At least one of the means is different Hy All of the means are different Determine the P value for this hypothesis test P-value - (Round to three decomal places as needed)

- X х Data table a=0.05 le Skim Milk Mixed Milk Whole Milk 850 1,010 880 855 1,000 940 870 1,010 845 905 1,040 818 915 1,030 870 885 1,013 874 855 1,070 881 856 1,002 840 jeans are ple different.

State the appropriate conclusion Choose the correct answer below O A. Do not reject Hy. There is not sufficient evidence to support the hypothesis that all of the mean calcium intake levels are different O B. Do not reject Ho. There is not sufficient evidence to support the hypothesis that at least one of the mean calcium intake levels is different OC. Reject Ho There is sufficient evidence to support the hypothesis that at least one of the mean calcium intake tevels is different. OD. Reject Hy. There is sufficient evidence to support the hypothesis that all of the mean calcium intake levels are different. (b) If the null hypothesis is rejected in part (a), use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 005 Calculate the test statistic qo for each pairwise difference. Select the correct choice below and, if necedsary, fill in any answer boxes to complete your choice 912 = OA = 2.913=223 = (Round to three decimal places as needed) OB. The null hypothesis was not rejected in part (a)

Identify the critical value Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice O A. The null hypothesis was not rejected in part (a) ОВ. (Round to three decimal places as needed.) State the appropriate conclusion Choose the correct answer below. O A The null hypothesis is not rejected in part (a) OB. All the means are significantly different. OC. The mean calcium intake of children who drank wholomilk is dittorent from the mean calcium intakes of children who drank skim or mixed milk OD. The mean calcium intake of children who drank mixed milk is different from the mean calcium intakes of children who drank skim or whole milk

(2) Draw boxplots of the three categories to support the analytic results obtained in parts (a) and (b). Choose the correct graph below OA OB OC. Q Which mit Whole Whole Maced mik Med mi More 1 Skimmik 300 900 1000 11.00 Skimmi 300 900 1000 1100 Skim 800 900 1000 1100