Reference no: EM1321083

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 & 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?

[A] Calculate the value of the appropriate test statistic.

[a]   χ2 = 27.50
[b]   χ2 = 30.58
[c]   t = 27.50
[d]   z = 1.65

[B] At the α = .01 level of significance, what is your conclusion?

[a]   Do not reject H0. At the α = .01 level of significance there is not sufficient evidence to suggest that this technician’s true variance is greater than the target accuracy. 
[b]   Reject H0.  At the α = .01 level of significance, there is enough evidence to support the claim that this technician’s variance is larger than the target accuracy. 
[c]   Cannot determine
[d]   Reject H0. At the α = .01 level of significance, there is not enough evidence to support the claim that this technician’s true variance is larger than the target accuracy.

[C] State the null & alternative hypotheses.

[a]  H0: σ2 ≠ 1.2, H1: σ2 = 1.2
[b]  H0: σ2 ≥ 1.2, H1: σ2 ≠ 1.2
[c]  H0: σ2 < 1.2, H1: σ2 ≠ 1.2
[d]  H0: σ2 ≤ 1.2, H1: σ2 > 1.2