A researcher randomly selects and measures the volumes of th

A researcher randomly selects and measures the volumes of the contents of 10 bottles of cough syrup. Assume the sample is taken from a normally distributed population. The 99% confidence interval for the population standard deviation is (0.02320.0423).

The population standard deviation of the volumes of the bottles\' contents should be less than 0.042 fluid ounce. Does the confidence interval for suggest that the variation in the volumes of the bottles\' contents is at an acceptable level? Explain your reasoning.

Solution

Since this CI contains value 0.042, it doe snot suggest that the population standard deviation is less than 0.042. Thus the variation is not at an acceptable level.