Refer to SAS Output #1 and the following: Using a .05 significance level, you now need to test the claim that the means for actual ease of tracheal intubation scores differed between patients in the 4 Mallampati score categories by answering the questions below.

1. What are the Omnibus Null and alternative hypotheses?

A. H0: u1=u2=u3=u4=0, H1: at least one ui ? 0 B. H0: u1=u2=u3=u4, H1; u1?u2?u3?u4 C. H0: 1=2=3=4 H1: 1?2?3?4 D. H0: u1=u2=u3=u4, H1:at least one hi differs from another Uj E. H0: 1=2=3=4, H1: at least one i differs from another j

2. What are the independent and dependent variables?

A. Dependent = mallampati Score, Independent = intubation time B. Dependent = intubation time, Independent = mallampti Score C. Dependent = Mallampti score, Independent = ease of tracheal intubation D. Dependent = ease of trachea intubation, Independent = Mallampti score E. Cannot be determined given the information

3. How many patients were used in this model?

A.95 B.96 C.97 D.98 E.99

For questions 4 - 9 in the first table of the output several important values have been replaced with the letters A-G. Find these values

4. Model Degrees of Freedom (labeled A) A. 1 B. 2 C. 3 D. 4 E. 5

5. Error degrees of Freedom (labeled B)

A. 92 B. 93 C. 94 D. 95 E. 96

6. Sum of Square Error (labeled C)

A.55.88 B.494.74 C.950.15 D.89314.02 E.92569.10

7.Mean Square Model (labeled D)

A.325.51 B.406.89 C.542.51 D.813.77 E.1627.54

8.Mean Square Error (labeled E)

A.930.35 B.940.15 C.950.15 D.960.37 E.970.80

9. T test statistic (labeled F)

A. -11.5 B. -0.68 C 0.46 D. 0.50 E. 0.57

10. What is the value of the test statistic for the omnibus null hypothesis H0?

A. -0.09 B. 0.57 C. 0.64 D. 0.76 E. 3.33

11. What is the p-value corresponding to the test statistic in question?

A. 0.05 B. 0.36 C. 0.50 D. 0.64 E. 0.93

12. Using a .05 significance level, what decision and conclusion should you make regarding the omnibus null hypothesis?

A. Because p-value

B. because p-value

C. Because p-value >0.05 we fail to reject H0 and conclude that the mean ease of intubation score does not differ significantly between patients in the four mallampti score categories.

D. Because p-value >0.05 we fail to reject H0 and conclude that patients in all four Mallampti score categories have a significantly different mean ease of intubation score from one another.

E. Because p- value >0.05 we reject H0 and conclude that the mean ease of intubation score does differ significantly between patients in the four mallampti score categories.

13. Assuming you rejected the Omnibus null hypothesis in question 12 (may or may not be true) what test should you conduct next?

A. Turkey Test B. Bonferroni test C. Multiple comparisons Test D. Any of the above are appropriate E. None of the above are appropriate

14. What is the estimate mean ease of intubation score for each of the four mallampti score categories?

A. U1= -1.39, u2 = -7.87, u3 = -11.5, u4=0 B. 1= -1.39, 2 = -7.87, 3 = -11.5, 4=0 C. U1= -1.39, u2 = -7.87, u3 = -11.5, u4= 51.25 D. 1= -1.39, 2 = -7.87, 3 = -11.5, 4= 51.25 E. U1= 49.86, u2 = 43.38, u3 = 39.75, u4 = 51.25 F. 1 = 49.86, 2 = 43.38, 3 = 39.75, 4 = 51.25

15. Are any of the four mallampti score categories differ significantly in their mean of ease of intubation score?

A. Yes, u2?u4 B. Yes, u3?u4 C. Both a and b D. No, the mean ease of intubation score does not differ significantly between the four mallampti score categories E. Cannot be determined from the given formula

16. What types of variation, if any, are being analyzed in this problem?

A. We are comparing the mean of ease of intubation score of four groups, which has nothing to do with variation. B. variation in ease of intubation score between mallampti score categories C. Variation in ease of intubation score within mallampti score categories D both b and c E. None of the above

17. Is there a reference cell in this problem? If so, what is it?

A. Score category 1 B. Score category 2 C. Score category 3 D. Score category 4 E. Yes there is a reference cell but the group cannot be determined with the given output F. No

don SAS Output #1 ce Sum of Source Squares Mean Square cores elow. Model 1627. 54474 A B Error C Corrected Total 90941.56122 R-Square Coeff Var Root MSE ease 0. 017897 68 . 08204 30. 82449 45. 2 Source Type III SS Mean Square Mallampati 1627.544741 542. 514914 Standard Parameter Estimate Error t Val Intercept 51. 25000000 B 15.41224441 Mallampati 1 -1. 39285714 B 16.26912399 Mallampati 2 -7. 86538462 B 16. 18332709 Mallampati 3 -11. 50000000 B 16.88326785 Mallampati 4 0. 00000000 B Least Squares Means Adjustment for Multiple Comparisons: Tukey-Kr LSMEAN Mallampati ease LSMEAN Number 49. 8571429 43 . 3846154 HNMY 39 . 7500000 51.2500000 Least Squares Means for effect Mallampati Pr > t| for HO: LSMean (1)=LSMean( j) Dependent Variable: ease i/ j m 0. 8039 0. 6473 0. 8039 0. 9734 HNMS 0. 6473 0.9734 0 . 9998 0. 9620 0 . 9040 SAS Output #2 Sum of Source DF Squares Mean Squar