Question

Suppose that a random sample of 50 bottles of a particular brand of cough medicine is selected and the alcohol content of each bottle measured. The sample mean alcohol content is 8.6 ml and the standard deviation is 2.99 ml. The standard deviation of the alcohol content is required, by law, to be less than 2.8 ml.A 90% confidence interval for the population variance of the alcohol content is( 6.60 ; 12.91 ).Thus, we can conclude with 90% confidence, thatSelect one:a.the average alcohol content for this brand of cough medicine is between 6.6 ml and 12.91 ml.b.between 6.6% and 12.91% of the possible values of the sample variance will meet the requirements of the law.c.the sample variance of the alcohol content is between 6.6 ml and 12.91 ml.d.the population variance for this brand of alcohol meets the requirements of the law 6.6% to 12.91% of the time.e.the population variance for this brand of cough medicine is between 6.6 ml and 12.91 ml.

Answer 1

- We are told that using a 90% confidence interval, the population variance is: (6.6; 12.91)

- The sample variance is an approximation of the population variance.