Use the Excel summary output to identify the 95% Confidence Interval (CI) estimate of the mean effective duration for each type of vaccine, and interpret the confidence intervals. Hence infer any differences in the effective durations of the two vaccines. State the requirement in using t-distributions to construct the confidence intervals. Justify whether this requirement is met in both cases.

Vaccine Effective Durations in Weeks

Conqueror Destroyer

18 21.5

21.7 37.9

19 46.3

28.2 16.2

33.2 47.5

25.4 22.3

32.6 34.8

24.1 21.4

32.3 27.9

30 19.8

31.7 30.3

33.3 29.7

30.9 30.1

21.5 21.4

27.4 20

22.6 41.4

36 23.2

32.1 40.2

37.2 33.5

34.3 38.7

31.6 25.6

9 27.3

28.9 23.9

28.8 29.8

19.5 36.8

34.5 24.3

28.2 26.1

37.9 28.4

23.8 21.9

26.6 34.4

37 41.7

22.9 28.6

20.4 42.1

27.3 28.8

25.7 29.5

29.6 21.5

19.8 12.4

38.7 24.6

19.4 28

28.3 28.3

32.9 49.2

21.4 20.9

30.5 30.4

23.6 31.9

28.3 37.5

17.5 23.1

33.8 33.2

25.2

34.2

28

23.6