A particular doctor\'s office keeps records of the number of patients with flu s

Question

A particular doctor's office keeps records of the number of patients with flu symptoms during the months of the flu season. They want to compare year A to year B to determine if year B has more cases of flu. Because flu cases tend to fluctuate by month they are going to evaluate these data using a matched t test with the month of the flu season being the matching variable. Evaluate the data that is provided below using a t test for matched samples. You do not need to include a set of statistical hypothesis statements but please identify what conclusion you can draw and what that conclusion means.

Explanation / Answer

Diff (T2 - T1)

-1
6
8
4
7
-3
4
3
2

M: 3.33

Dev (Diff - M)

-4.33
2.67
4.67
0.67
3.67
-6.33
0.67
-0.33
-1.33

     Sq. Dev

18.78
7.11
21.78
0.44
13.44
40.11
0.44
0.11
1.78

S: 104.00

Difference Scores Calculations

Mean: 3.33
= 0
S2 = SSdf = 104.00/(9-1) = 13.00
S2M = S2/N = 13.00/9 = 1.44
SM = S2M = 1.44 = 1.20

T-value Calculation

t = (M - )/SM = (3.33 - 0)/1.20 = 2.77

The value of t is 2.773501. The value of p is 0.024166. The result is significant at p 0.05.

yes , year B has more flu cases

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