A lab technician is tested for her consistency by taking multiple measurements o

Question

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?

Q. Compute the value of the appropriate test statistic.

Which of these options is correct. Show step by step for Lifesaver rating:

A.            t = 27.50

B.            z = 1.65

C.            X2 = 27.50

D.            X2 = 30.58

Explanation / Answer

State the null and alternative hypotheses
H0: s2 1.2, H1: s2 > 1.2
---------------------------

Compute the value of the appropriate test statistic.
Chi-Sq = (16-1)2.2^2/1.2^2 = 15*3.36 = 50.42

For df=n-1=16-1=15, the right-tail reject critical value is 30.58 (check chiquare table)
Since the 50.42 is greater than 30.58, we reject Ho.

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