Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0410 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 0.0410 g. This sample has these summary statistics: n= 16, x=8.066 g, s=0.02 g. A significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0410 g. If we want to use a 0.10 significance level and a parametric method to test the claim that the sample is from a population with a standard deviation less than 0.0410 g. what requirements must be satisfied? How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean? Click the icon to view the weights of dollar coins manufactured with the new process. CD What requirements must be satisfied? Select all that apply. A. The population has a normal distribution. B. Either or both of these conditions are satisfied: the population is normally distributed or the sample size is greater than 30. C. The sample is a simple random sample. 0 D. The population has a chi-square distribution. E. The sample size is greater than 30. F. No requirements must be satisfied. How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean? Select all that apply. A. Normal quantile plots are not an effective tool for evaluating the normality requirement. B. The requirement is more strict, meaning that the distribution of the population must be much closer to a normal distribution. C. The requirement less strict, meaning that the distribution of the population does not have to be as close to a normal distribution. D. The requirement cannot be satisfied by applying the central limit theorem to a sample of size greater than 30. E. The requirement can be satisfied by applying the central limit theorem to a sample of size greater than 30. OF. There is no difference.

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Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0410 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 0.0410 g. This sample has these summary statistics: n = 16, x = 8.066 g, s = 0.02 g. A significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0410 g. If we want to use a 0.10
significance level and a parametric method to test the claim that the sample is from a population with a standard deviation less than 0.0410 g, what requirements must be satisfied? How does the normality requirement for a hypothesis test of a claim
about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean?
Click the icon to view the weights of dollar coins manufactured with the new process.
What requirements must be satisfied? Select all that apply.
A. The population has a normal distribution.
B. Either or both of these conditions are satisfied: the population is normally distributed or the sample size is greater than 30.
C. The sample is a simple random sample.
D. The population has a chi-square distribution.
E. The sample size is greater than 30.
F. No requirements must be satisfied.
J
How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean? Select all that apply.
A. Normal quantile plots are not an effective tool for evaluating the normality requirement.
B. The requirement is more strict, meaning that the distribution of the population must be much closer to a normal distribution.
C. The requirement less strict, meaning that the distribution of the population does not have to be as close to a normal distribution.
D. The requirement cannot be satisfied by applying the central limit theorem to a sample of size greater than 30.
E. The requirement can be satisfied by applying the central limit theorem to a sample of size greater than 30.
F. There is no difference.
Transcribed Image Text:Assume that the U.S. Mint manufactures dollar coins so that the standard deviation is 0.0410 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 0.0410 g. This sample has these summary statistics: n = 16, x = 8.066 g, s = 0.02 g. A significance level is used to test the claim that the sample is from a population with a standard deviation less than 0.0410 g. If we want to use a 0.10 significance level and a parametric method to test the claim that the sample is from a population with a standard deviation less than 0.0410 g, what requirements must be satisfied? How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean? Click the icon to view the weights of dollar coins manufactured with the new process. What requirements must be satisfied? Select all that apply. A. The population has a normal distribution. B. Either or both of these conditions are satisfied: the population is normally distributed or the sample size is greater than 30. C. The sample is a simple random sample. D. The population has a chi-square distribution. E. The sample size is greater than 30. F. No requirements must be satisfied. J How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean? Select all that apply. A. Normal quantile plots are not an effective tool for evaluating the normality requirement. B. The requirement is more strict, meaning that the distribution of the population must be much closer to a normal distribution. C. The requirement less strict, meaning that the distribution of the population does not have to be as close to a normal distribution. D. The requirement cannot be satisfied by applying the central limit theorem to a sample of size greater than 30. E. The requirement can be satisfied by applying the central limit theorem to a sample of size greater than 30. F. There is no difference.
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