Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly

1000

grams. The standard deviation for scale reading is known to be = 2.0.They weigh this weight on the scale

47

times and read the result each time. The

47

scale readings have a sample mean of x = 999.1

grams. The calibration point is set too low if the mean scale reading is less than

1000

grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too low. Use the

= 0.01

level of significance and the P-value method with the TI-84 calculator.

Part 1 of 4

State the appropriate null and alternate hypotheses.

:H0
:H1

This hypothesis test is a (Choose one) test. left, right, or two tailed test?

What is the P- value?

Do we have enough evidence to conclude the hypotheses?