In the manufacturing process of a pharmaceutical product. repeated measurements follow a normal distribution with mean equal to the true product concentration and standard deviation 0.0068 g/l. a.) how many measurements would be needed to estimate the true concentration within ±0.001 g/l with 95% confidence? b.) how many measurements would be needed to estimate the true concentration within ±0.001 g/l with 99% confidence? what is the implication of choosing a higher confidence interval?

(co 3) the soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. the company takes readings of every 10th bar off the production line. the reading points are 5.8, 5.9, 4.9, 6.5, 5.0, 4.9, 6.2, 5.1, 5.7, 6.1. is the process in control or out of control and why? it is out of control as two of these data points are more than 2 standard deviations from the mean it is in control as the data points more than 2 standard deviations from the mean are far apart it is out of control as one of these data points is more than 3 standard deviations from the mean it is in control as the values jump above and below the mean