machine company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents is 4.45g. A new filling process is tested on 82 bottles and the standard deviation for this sample is 3.62 g. Use a 0.10 significance level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.45 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? 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. (Round to three decimal places as needed.) What is the conclusion at the 0.10 level of significance?
A machine company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents is 4.45g. A new filling process is tested on 82 bottles and the standard deviation for this sample is 3.62 g. Use a 0.10 significance level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.45 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
What are the correct hypotheses for this test?
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.
(Round to three decimal places as needed.)
What is the conclusion at the 0.10 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….ess, the new process…..better.
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