Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0390 g. The accompanying list contains weights (grams) of dollar coins manufactured with a new process designed to decrease the standard deviation so that it is less than 0.0390 g. This sample has these summary statistics: n=16, x-8.065 g. s-0.02 g. A 0.01 significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0390 g. The null and alternative hypotheses are H, -0.0390 g and H,: e<0.0390 g. For this sample data, we get a P-value of 0.0144 when testing the claim that e<0.0390 g. Complete parts (a) through (c). Click the icon to view the weights of dollar coins manufactured with the new process. a. What should we conclude about the null hypothesis? A. Reject the null hypothesis. OB. Accept the null hypothesis OC. Fail to accept the null hypothesis. OD. Fail to reject the null hypothesis. 2

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Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0390 g. The accompanying list
contains weights (grams) of dollar coins manufactured with a new process designed to decrease the standard
deviation so that it is less than 0.0390 g. This sample has these summary statistics: n= 16, x=8.065 g. s-0.02 g. A
0.01 significance level is used to test the claim that the sample is from a population with a standard deviation less than
0.0390 g. The null and alternative hypotheses are Ho: 0.0390 g and H,: <0.0390 g. For this sample data, we get
a P-value of 0.0144 when testing the claim that a <0.0390 g. Complete parts (a) through (c).
Click the icon to view the weights of dollar coins manufactured with the new process.
a. What should we conclude about the null hypothesis?
OA. Reject the null hypothesis.
OB. Accept the null hypothesis.
OC. Fail to accept the null hypothesis.
OD. Fail to reject the null hypothesis.
Transcribed Image Text:Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0390 g. The accompanying list contains weights (grams) of dollar coins manufactured with a new process designed to decrease the standard deviation so that it is less than 0.0390 g. This sample has these summary statistics: n= 16, x=8.065 g. s-0.02 g. A 0.01 significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0390 g. The null and alternative hypotheses are Ho: 0.0390 g and H,: <0.0390 g. For this sample data, we get a P-value of 0.0144 when testing the claim that a <0.0390 g. Complete parts (a) through (c). Click the icon to view the weights of dollar coins manufactured with the new process. a. What should we conclude about the null hypothesis? OA. Reject the null hypothesis. OB. Accept the null hypothesis. OC. Fail to accept the null hypothesis. OD. Fail to reject the null hypothesis.
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