Alab 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 1.2 mg/dl or less. if 12 measurements are taken and the standard deviation is 1.8 mg/dl, is there enough evidence to support the claim that her standard deviation is greater than the target, at = .01? (show the answers to all 5 steps of the hypothesis test.)

Step-by-step explanation:

Given precision is a standard deviation of s=1.8, n=12,  target precision is a standard deviation of σ=1.2

The test hypothesis is

H_o:σ <=1.2

Ha:σ > 1.2

The test statistic is

chi square =

=

=24.75

Given a=0.01, the critical value is chi square(with a=0.01, d_f=n-1=11)= 3.05 (check chi square table)

Since 24.75 > 3.05, we reject H_o.

So, we can conclude that her standard deviation is greater than the target.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

step-by-step explanation: