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 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α = 0.01?

Answer 1

Answer:

We Do not have enough evidence

Step-by-step explanation:

H0 : σ² ≤ 1.1

H0 : σ² > 1.1

The test statistic (X²) :

χ² = [(n - 1) × s²] ÷ σ²

n = sample size, = 20

s² = 1.6

σ² = 1.1

α = 0.01

χ² = (19 * 1.6) / 1.1

χ² = 27.64

Pvalue :

Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19

Pvalue = 0.091

If Pvalue < α ; Reject H0

0.091 > 0.01

Hence, Pvalue > α ; Thus we fail to reject H0.

We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.