You are analyzing the sample of bottles in Exercise 13. The population standard deviation of the bottles’ heights should be less than 0.35 centimeter. Does the confidence interval you constructed for σ suggest that the variation in the bottles’ heights is at an acceptable level? Explain your reasoning.

Data from Exercises 13

The heights (in centimeters) of 18 randomly selected bottles produced by a machine are listed. Use a 90% level of confidence 

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19.861 18.462 18.591 18.684 19.191 19.985 19.549 19.631 18.909 19.101 19.845 19.863 18.645 19.111 18.999 18.959 19.769 19.771