A lab technician is tested for her consistency by making multiple measurements o
ID: 3246114 • Letter: A
Question
A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.4 mg/dL or less. If 16 measurements are taken and the standard deviation is 2.1 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at = .01?
A)
Yes, since the 2 test value 33.750 is greater than the critical value 32.000.
B)
No, since the 2 test value 22.50 is less than the critical value 30.578.
C)
Yes, since the 2 test value 33.750 is greater than the critical value 30.578.
D)
No, since the 2 test value 22.50 is less than the critical value 32.000.
A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.4 mg/dL or less. If 16 measurements are taken and the standard deviation is 2.1 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at = .01?
A)
Yes, since the 2 test value 33.750 is greater than the critical value 32.000.
B)
No, since the 2 test value 22.50 is less than the critical value 30.578.
C)
Yes, since the 2 test value 33.750 is greater than the critical value 30.578.
D)
No, since the 2 test value 22.50 is less than the critical value 32.000.
Explanation / Answer
Ho: signa < 1.8
Ha: sigma > 1.8 (claim)
---------
alpha = 1%
Critical Value: Chi-Sq = 30.578 ( at df =15, alpha =0.01)
test stat: Chi-Sq = (n-1)s^2/sigma^2 = 15*2.1^2/1.4^2 = 33.75
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If your statistic is higher than the critical value from the table: Your finding is significant. You reject the null hypothesis
reject Ho.
The test results support the claim
answer is option is C Yes, since the 2 test value 33.750 is greater than the critical value 30.578.
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