If a person is selected at random, find the probability that the person drinks r

Question

If a person is selected at random, find the probability that the person drinks root beer given that they are over 40. A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subject are randomly selected and assigned to one of three groups Group 1 is given medication group 2 is given in exercise program, and Group 3 is assigned a diet program At the end of six weeks each subject's blood pressure recorded. Find the test statistic F to test the claim that there is no difference among the means. (a) State the Null and Alternative hypotheses. (b) Find (i) df_N __ (ii)df_D ___ (c) Find the critical value, F_0. ___ (d) Find the test statistic, F, to test the claim that there is no difference among the means. F = ___ (e) At alpha = 0 01, do you reject or fail to reject H_0?

Explanation / Answer

a) null hypothesis: all groups have equal mean

alternate hypothesis: at least two groups have diffierent means

b)dfN =2 ; dfD=15

c) critical value =6.3589

d) test stat =F =11.0948

e)as test stat is higher then critical value we reject null hypothesis

Groups Count Sum Average Variance group 1 6 68 11.33333 6.666667 group 2 6 22 3.666667 7.466667 group 3 6 43 7.166667 9.766667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 176.7778 2 88.38889 11.09484 0.001103 6.358873 Within Groups 119.5 15 7.966667 Total 296.2778 17

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