SOLUTION: I have several questions of the following nature. Need instructions of how they got this answer...this ones answer is "B" A lab technician is tested for her consistency by taki

Algebra ->  Probability-and-statistics -> SOLUTION: I have several questions of the following nature. Need instructions of how they got this answer...this ones answer is "B" A lab technician is tested for her consistency by taki      Log On


   



Question 320859: I have several questions of the following nature. Need instructions of how they got this answer...this ones answer is "B"
A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy a standard deviation of 1.3 or less. If 20 measurements are taken and their standard deviation is 1.9, is there enough evidence to reject the claim that her standard deviation is within the limit at α = .01?
A) No, comparing the test value 27.77 and the critical value 6.02.
B) Yes, comparing the test value 6.37 and the critical value 6.02.
C) No, comparing the test value 27.77 and the critical value 6.13.
D) Yes, comparing the test value 6.37 and the critical value 6.13.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have several questions of the following nature. Need instructions of how they got this answer...this ones answer is "B"
A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy a standard deviation of 1.3 or less. If 20 measurements are taken and their standard deviation is 1.9, is there enough evidence to reject the claim that her standard deviation is within the limit at α = .01?
-----
Ho: sigma^2 <= 1.3^2 = 1.69
Ha: sigma^2 > 1.69
--------
Critical Value: 6.02
test statistic: I get F = 1.9^2/1.3^2 = 2.1361
---
Comment: I don't know where they got 6.37 as the test value
===============================================================
Cheers,
Stan H.
==============
A) No, comparing the test value 27.77 and the critical value 6.02.
B) Yes, comparing the test value 6.37 and the critical value 6.02.
C) No, comparing the test value 27.77 and the critical value 6.13.
D) Yes, comparing the test value 6.37 and the critical value 6.13.