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 o = 2.7. They weigh this weight on the scale 62 times and read the result each time. The 62 scale readings have a sample mean of x = 1000.9 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 a = 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. Ho H = 1000 Hu # 1000

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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 o = 2.7. They weigh
this weight on the scale 62 times and read the result each time. The 62 scale readings have a sample mean of x = 1000.9 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 a = 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.
HoH = 1000
H H + 1000
This hypothesis test is a two-tailed
v test.
Part: 1/4
Part 2 of 4
Find the P-value. Round the answer to at least four decimal places.
P-value =
Transcribed Image Text: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 o = 2.7. They weigh this weight on the scale 62 times and read the result each time. The 62 scale readings have a sample mean of x = 1000.9 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 a = 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. HoH = 1000 H H + 1000 This hypothesis test is a two-tailed v test. Part: 1/4 Part 2 of 4 Find the P-value. Round the answer to at least four decimal places. P-value =
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