Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0410 g. The accompanying liệt contains weights (grams) of dollar coins manufactured with a new process designed to decrease the standard deviation so that it is less than 0.0410 g. This sample has these summary statistics: n = 16, x = 8.064 g, s = 0.02 g. A 0.10 significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0410 g. The null and alternative hypotheses are Ho:0 = 0.0410 g and H,:o<0.0410 g. For this sample data, we get a P-value of 0.0075 when testing the claim that o<0.0410 g. Complete parts (a) through (c). E Click the icon to view the weights of dollar coins manufactured with the new process. a. What should we conclude about the null hypothesis? O A. Accept the null hypothesis. O B. Fail to accept the null hypothesis. O C. Reject the null hypothesis. O D. Fail to reject the null hypothesis. b. What should we conclude about the original claim? V sufficient evidence to V the claim that the sample is from a population with a standard deviation less than 0.0410 g. There c. What do these results suggest about the new minting process? V than the old method, since there V evidence that the weights of coins produced by this Based on this result, the new minting process Us process
Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0410 g. The accompanying liệt contains weights (grams) of dollar coins manufactured with a new process designed to decrease the standard deviation so that it is less than 0.0410 g. This sample has these summary statistics: n = 16, x = 8.064 g, s = 0.02 g. A 0.10 significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0410 g. The null and alternative hypotheses are Ho:0 = 0.0410 g and H,:o<0.0410 g. For this sample data, we get a P-value of 0.0075 when testing the claim that o<0.0410 g. Complete parts (a) through (c). E Click the icon to view the weights of dollar coins manufactured with the new process. a. What should we conclude about the null hypothesis? O A. Accept the null hypothesis. O B. Fail to accept the null hypothesis. O C. Reject the null hypothesis. O D. Fail to reject the null hypothesis. b. What should we conclude about the original claim? V sufficient evidence to V the claim that the sample is from a population with a standard deviation less than 0.0410 g. There c. What do these results suggest about the new minting process? V than the old method, since there V evidence that the weights of coins produced by this Based on this result, the new minting process Us process
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0410 g. The accompanying lit contains weights (grams) of dollar coins manufactured with a new process
designed to decrease the standard deviation so that it is less than 0.0410 g. This sample has these summary statistics: n= 16, x 8.064 g, s 0.02 g. A 0.10 significance level is used to test the
claim that the sample is from a population with a standard deviation less than 0.0410 g. The null and alternative hypotheses are Ho: o = 0.0410 g and H,: o<0.0410 g. For this sample data, we
get a P-value of 0.0075 when testing the claim that o<0.0410 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. Accept the null hypothesis.
B. Fail to accept the null hypothesis.
O C. Reject the null hypothesis.
O D. Fail to reject the null hypothesis.
b. What should we conclude about the original claim?
sufficient evidence to
the claim that the sample is from a population with a standard deviation less than 0.0410 g.
There
c. What do these results suggest about the new minting process?
than the old method, since there
evidence that the weights of coins produced by this
Based on this result, the new minting process
Us I
process
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