A researcher randomly selects and measures the volumes of the contents of 15 bot

Question

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 95% confidence interval for the population standard deviation o is (0.0288, 0.0402). The population standard deviation of the volumes of the bottles' contents should be less than 0.047 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. Choose the correct answer below. Yes, because all values contained in the confidence interval are less than 0.047. No, because all values contained in the confidence interval are greater than 0.047. Yes, because 0.047 is contained in the confidence interval. No, because 0.047 is contained in the confidence interval. Yes, because all values contained in the confidence interval are greater than 0.047. No, because all values contained in the confidence interval are less than 0.047.

Explanation / Answer

Per the given confidence interval, one can be 95% confident that the interval captures the true population standard deviation of the volume of bottle's contents. To be within acceptable level, the volume contents' should be less than 0.047 fluid ounce. The variation in bottle's contents is at an acceptable level, because the upper boundary of confidence interval is less than 0.047.

Ans>option A.

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