For Exercises 6.51 and 6.52, see pages 320–321; for 6.53 to 6.55, see pages 323–324; for 6.56 to 6.59, see pages 325–326; for 6.60 to 6.62, see pages 328–329; for 6.63 and 6.64, see page 331; and for 6.65 and 6.66, see page 332.
6.52 Laboratory quality control.
Hospital laboratories routinely check their diagnostic equipment to ensure that patient lab test results are accurate. To check if the equipment is well calibrated, lab technicians make several measurements on a control substance known to have a certain quantity of the chemistry being measured. Suppose a vial of controlled material has 4.1 nanomoles per L of potassium. The technician runs the lab equipment on the control material 10 times and compares the sample mean reading with the theoretical mean using a significance test. State the null and alternative hypotheses for this test.