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A researcher randomly selects and measures the volumes of the contents of 15 bottles of cough...

A researcher randomly selects and measures the volumes of the contents of 15 bottles of cough syrup. Assume the sample is taken from a normally distributed population. The 98 ​% confidence interval for the population standard deviation sigma is ​(0.0258 ​,0.0481​). The population standard deviation of the volumes of the​ bottles' contents should be less than 0.053 fluid ounce. Does the confidence interval for sigma suggest that the variation in the volumes of the​ bottles' contents is at an acceptable​ level? Explain your reasoning.

A. No, because 0.53 is contained in the confidence interval.

B. No, because all values contained in the confidence interval are greater than 0.053.

C. Yes, because 0.053 is contained in the confidence interval.

D. Yes, because all values contained in the confidence interval are less than 0.053.

E. Yes, because all values contained in the confidence interval are greater than 0.053.

F. No, because all values contained in the confidence interval are less than 0.053.

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