A researcher randomly selects and measures the volumes of the contents of 13 bot

Question

A researcher randomly selects and measures the volumes of the contents of 13 bottles of cough syrup. Assume the sample is taken from a normally distributed population. The 90% confidence interval for the population standard deviation sigma is (0.0254, 0.0473). The population standard deviation of the volumes of the bottles' contents should be less than 0.017 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 0.017 is contained in the confidence interval. No, because all values contained in the confidence interval are greater than 0, 017. Yes, because all values contained in the confidence interval are greater than 0.017. No, because 0, 017 is contained in the confidence interval. Yes, because all values contained in the confidence interval are less than 0.017. No, because all values contained in the confidence interval are less than 0.017.

Explanation / Answer

The value of 0.017 lies to the left of the confidence interval (0.0254, 0.0473), 0.017 is not included in the interval and all values in the confidence interval are greater than 0.017.

Answer: Option b.

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