(3 points) As part of a biological research project, researchers need to quantif

Question

(3 points) As part of a biological research project, researchers need to quantify the density of a certain type of malignant cell in blood. In order to assure the accuracy of measurement, two experienced researchers each make a sequence of separate counts of the number of such cells in the same blood sample. The 8 counts of the first researcher have a mean of 139.5 and a standard deviation of 16.2, while the 13 counts of the second researcher have a mean of 130.8 and a standard deviation of 15.2. (a) Use a level 0.99 pooled variance confidence interval to compare the mean counts of the two researchers: (b) Does the interval suggest that there is a difference in the mean counts of the two researchers? A. No B. Yes

Explanation / Answer

t value at 99% = 2.8784

CI = ( x1 - x2) +/- t *sqrt(s1^2/n1+ s2^2/ n2)
= ( 139.5 - 130.8) +/- 2.8784 * sqrt( 16.2^2/8 + 15.2^2/13)
= (-11.7705,29.1705)

b)
No

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