You are the Director of Supply Chain Management for a major…

You are the Director of Supply Chain Management for a major hospital complex.  With eight hospital campuses in the tri-state area, your organization serves thousands of patients annually.  Sourcing medical supplies is a major responsibility for your division.  There are currently two firms supplying your hospital with medical syringes – Schott and Baxter.  You wish to find out which company is the better supplier.  To analyze the data, random samples of lots of 1000 are taken on a monthly basis and the number of defective syringes is recorded.  The following boxplot shows a 5-point summary for distribution of defects for both suppliers. Based on the boxplots for both suppliers, which of following insight is correct.  

Does the new iPhone work correctly coming out of the box or…

Does the new iPhone work correctly coming out of the box or not.  Suppose whether the iPhone works correctly or not follows a binomial random variable and that out of all iPhones, 80% work correctly.  A random sample of n = 20 iPhones is analyzed.  Which of the following is closest to the probability that 15 or more but less than 18 work correctly.  

Reducing calories is a major trend for food manufacturers. …

Reducing calories is a major trend for food manufacturers.  General Mills advertises their best-selling Yoplait Greek Whips contains only 100 calories.  However, the actual number of calories varies.  Suppose the number of calories is distributed normally with a population mean of 96.2 calories and a population standard deviation of 2.1 calories.  A previous sample of 22 packages was taken and the sample mean was 99.4 calories with a sample standard deviation of 1.9 calories.  How large a sample should be taken in order to estimate the true mean number of calories to within a margin for error of 0.425 calories at the 95% confidence level?