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 =σ3.2. They weigh this weight on the scale 52 times and read the result each time. The 52 scale readings have a sample mean of =x1000.6 grams. The scale is out of calibration if the mean scale reading differs from 1000 grams. The technicians want to perform a hypothesis test to determine whether the scale is out of calibration. Use the =α0.01 level of significance and the P-value method with Excel. a) Compute the value of the test statistic. Round the answer to at least two decimal places. Z=? b) State the appropriate null and alternate hypotheses (c) State a conclusion. Use the α=0.01 level of significance.
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 =σ3.2. They weigh this weight on the scale 52 times and read the result each time. The 52 scale readings have a sample mean of =x1000.6 grams. The scale is out of calibration if the mean scale reading differs from 1000 grams. The technicians want to perform a hypothesis test to determine whether the scale is out of calibration. Use the =α0.01 level of significance and the P-value method with Excel.
a) Compute the value of the test statistic. Round the answer to at least two decimal places. Z=?
b) State the appropriate null and alternate hypotheses
(c) State a conclusion. Use the α=0.01 level of significance.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
