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In given Problem data are presented on counts of bacteria on 12 plates by two observers. Both observers counted the same plate and their counts were recorded. In Problem, a confidence interval was computed on the difference in the mean counts. The confidence limits did not include 0.
(a) Plot a scatter diagram of this data and compute r.
(b) Contrast what you can learn from a scatter plot and T with what you can learn from a confidence limit about the differences in the means.
ProblemBacterial colonies were counted on 12 plates. There were two observers, and the plate counts obtained were as follows:
Plate Number
Observer 1
Observer 2
Observer 3
1
139
191
-52
2
121
181
-60
3
49
67
-18
4
163
143
20
5
234
-43
6
61
80
-19
7
179
250
-71
8
218
239
-21
9
297
289
10
165
201
-36
11
91
12
92
99
-7
Give a 99% confidence interval for the difference between the mean plate counts of the two observers. Do you believe that there is a difference? Why?
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