Hypothesis Tests: For all hypothesis tests, performthe appropriate test, including all 5 steps.

o H0 &H1

o α

o Test

o Test Statistic/p-value

o Decision about H0/Conclusion about H1

Researchers wanted to analyze daily calcium consumption by children based on the types of meat they eat. The data represent the daily consumption of calcium (in mg) of 8 randomly selected children from each of three groups: those who only eat lean meats, those who eat a mixture of lean and higher-fat meats, and those who only eat higher-fat meats. Lean Meats Mixed Meats Higher-Fat Meats 844 868 843 745 878 862 773 919 791 824 807 877 812 842 791 759 916 847 811 829 772 791 890 851 At the 0.05 level of significance, test the claim that the mean calcium consumption for all 3 categories is the same.