A machine company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents is 4.15 g. A new filling process is tested on 70 bottles and the standard deviation for this sample is 3.45 g. Use a 0.05 significance level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.15 g for the old process. Is the new process better in the sense of dispensing amounts that are more consistent? Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test? Họ: o H,: o Calculate the value of the test statistic. (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is: (Round to three decimal places as needed.) What is the conclusion at the 0.05 level of significance? Since the P-value is the level of significance, the null hypothesis. There sufficient evidence to conclude that the sample is from a population with a standard deviation less than g. Since the conclusion is that standard deviation for the new process V less, the new process better.

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A machine company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents
is 4.15 g. A new filling process is tested on 70 bottles and the standard deviation for this sample is 3.45 g. Use a 0.05 significance
level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.15 g
for the old process. Is the new process better in the sense of dispensing amounts that are more consistent? Assume that a simple
random sample is selected from a normally distributed population.
What are the correct hypotheses for this test?
Ho: o
H,: o
Calculate the value of the test statistic.
(Round to two decimal places as needed.)
Use technology to determine the P-value for the test statistic.
The P-value is
(Round to three decimal places as needed.)
What is the conclusion at the 0.05 level of significance?
Since the P-value is
the level of significance,
the null hypothesis. There
sufficient
evidence to conclude that the sample is from a population with a standard deviation less than
g.
Since the conclusion is
standard deviation for the new process
less, the new process
better.
Transcribed Image Text:A machine company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents is 4.15 g. A new filling process is tested on 70 bottles and the standard deviation for this sample is 3.45 g. Use a 0.05 significance level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.15 g for the old process. Is the new process better in the sense of dispensing amounts that are more consistent? Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test? Ho: o H,: o Calculate the value of the test statistic. (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the conclusion at the 0.05 level of significance? Since the P-value is the level of significance, the null hypothesis. There sufficient evidence to conclude that the sample is from a population with a standard deviation less than g. Since the conclusion is standard deviation for the new process less, the new process better.
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