Question

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician tests 44 samples and determines the volume of each sample. The 44 samples have a mean volume of 251.6 mL. The machine is out of calibration when the average volume it dispenses differs significantly from 250 mL.

The technician wants to perform a hypothesis test to determine whether the machine is out of calibration. Assume σ = 5.4 is known. Compute the value of the test statistic.

Group of answer choices

0.24

0.30

1.97

4.57

13.04

Answer 1

Solution :

Test statistic = z

= ( - ) /    / n

= (251.6 - 250) / 5.4 / 44

= 1.97

Test statistic = 1.97