Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes: {14.02, 13.97, 14.11, 14.12, 14.10, 14.02, 14.15, 13.97, 14.05, 14.04, 14.11, 14.12}.
Questions:
a) Identify the variable in this data. Be specific. (2pts)
b) Is the variable discrete or continuous?
c) Compute the sample mean, median, and sample standard deviation rounded to 3 decimal places. Work is not needed.
d) Find a 95% confidence interval for the population mean carbon monoxide level in the air in this location. Identify the calculator function that you are using and write the answer in the format: lower boundary < μ < upper boundary.
e) Interpret your confidence interval in the context of the problem.
f) What is the margin of error of the 95% confidence interval? Show some work or explain how you obtained your answer.
g) The quality control manager is concerned that the mean weight is actually less than 14 ounces. Based on the confidence interval, is there a reason to be concerned?