Chapter 9 10) 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 population standard deviation for scale reading is known to be 3.1. They weigh this weight on the scale 45 times and read the result each time. The 45 scale readings have a sample mean of 999.4 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 0.01 level of significance and the P-value method. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.

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Author:Amos Gilat
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Chapter 9
10) 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 population standard deviation for scale
reading is known to be 3.1. They weigh this weight on the scale 45 times and read the
ed result each time. The 45 scale readings have a sample mean of 999.4 grams. The scale is
lovel of 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 0.01 level of significance and the P-value method.
(a) State the appropriate null and alternate hypotheses.
120
(b) Compute the value of the test statistic.
(c) State a conclusion.
14
Transcribed Image Text:Chapter 9 10) 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 population standard deviation for scale reading is known to be 3.1. They weigh this weight on the scale 45 times and read the ed result each time. The 45 scale readings have a sample mean of 999.4 grams. The scale is lovel of 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 0.01 level of significance and the P-value method. (a) State the appropriate null and alternate hypotheses. 120 (b) Compute the value of the test statistic. (c) State a conclusion. 14
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