Hypothesis testing

WlND

New member
Joined
Dec 12, 2011
Messages
38
Hi,

Just want to verify my solution.

The average breathalyzer scores for 5 months are given below

12.5
12.6
12.4
13.7
13.3

with a standard deviation of 0.57

Properly calibrated, the machine would give an average reading of 12.3. Should the machine be readjusted at the 90% confidence level?


root(n)= 5^(1/2)= 2.236
Z= (12.9- 12.3) / (0.57/2.236)
Z= 0.60/0.2549
Z= 2.35386

the critical value for 90% confidence is 1.646 so we can conclude that the machine needs some adjustment.

Is this solution correct?

Thanks
 
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