# I dont believe that there is enough evidence to

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I don't believe that there is enough evidence to reject the claim.a. State the null and alternative hypotheses. Identify the claim H0: µ1 = µ3 = µ3 H1: At least one of the means is different from the others. The claim is that the mean times are equal for three medications b. Identify alpha. Alpha = 0.01 c. Determine the degrees of freedom. Degrees of Freedom: ( k = number of samples and N = total number of values in all samples combined)

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Numerator degrees of freedom = k – 1 = 3 – 1 = 2 Denominator degrees of freedom = N – k = 13 – 3 =10 d. Determine the critical values. Using Statdisk for F distribution with following information; Numerator df =2, denominator df =13 and 0.01 area to the right of the F-value. The critical value is Critical F = 7.559425 e. Determine the rejection region. The rejection region is any value above the critical value which is 7.559425. f. Make a decision to reject or fail to reject the null hypothesis. Statdisk display Source: DF: SS: MS: Test Stat, F: Critical F: P-Value: Treatment: 2 21.923077 10.961538 1.501581 7.559425 0.269002 Error: 10 73.00 7.30 Total: 12 94.923077 Because the test statistic (1.501581) is less than the critical value (7.559425) and p-value is greater than alpha, we will fail to reject the null hypothesis g. Interpret the decision in the context of the original claim. There is not sufficient evidence to warrant rejection of the claim that the mean times are equal for three the medications.There does not appear to be a significant difference in the mean times.

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