For each of the following questions, state the appropriate null and alternative

Question

For each of the following questions, state the appropriate null and alternative hypotheses; state which statistical test should be used; perform the test, reporting the values of t_s (test statistic) t_c (critical value), degrees of freedom, P; draw conclusions based on alpha = 0.10, alpha = 0.05, and alpha = 0.01. Work all problems (you can use your calculators for estimating descriptive statistics). Write a short interpretation of the results. Two different blood-clotting agents were tested to determine whether drugs differ in their effectiveness. Each patient was chosen at random and given one of the two drugs and the blood-clotting time (in s) measured. Drug B: 8.8, 8.4, 7.9. 8.7, 9.1. 9.6. Drug G: 9.9, 9.0, 11.1, 9.6, 8.7, 10.4. Perform an appropriate test to test whether the effectiveness of Drug B differs from Drug G Assumptions: test equality of the variance using two-sample F-test; Normality test (P > alpha).

Explanation / Answer

H0: There is no difference between two means of Drug b and G

H1: There is a difference between two means of Drug b and G

alpha:1%

Test statistic: We use Anova one way

From Excel

Conclusion:

F cal=5.676 and

P=0.03845 and aplha=0.01

P>alpha. we accept the null hypothesis

Anova: Single Factor SUMMARY Groups Count Sum Average Variance B 6 52.5 8.75 0.339 G 6 58.7 9.783333 0.789667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 3.203333 1 3.203333 5.676314 0.038448 4.964603 Within Groups 5.643333 10 0.564333 Total 8.846667 11

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.