Spread of Diabetes
A random sample of 100 people from different age groups was taken. The mean age of diabetic patients was 31.32 years with a margin of error of 17.4 years. The distribution of age is normal.
a. Decide whether each of the following statements is worded correctly for the confidence interval, and fill in the blanks for the correctly worded one(s).
i. We are 95% confident that the boundaries of the interval are __ and ___.
ii. We are 95% confident that the population mean is between ___ and ___.
iii. We are 95% confident that the sample mean is between __ and ___.
b. Can we reject a population mean of 27 years on the basis of these numbers? Explain.