In the data set on wolf upper jaws (Practice Problem 6), each measurement was actually the average of two measurements made on the left and right sides of the jaw of an individual wolf. Thus, a total of 70 measurements were made. Could we use n=70 when calculating confidence intervals for the mean and variance? Why or why not?

Data from problem 6

Here are the data on wolf upper jaws from Practice Problem 5, in centimeters. There are 35 individuals in this data set. Assume that this variable is normally distributed.

a. Draw a graph to confirm that the frequency distribution of the data is roughly bell shaped.

b. What are the sample mean and the standard error of the mean for this data set? Provide an interpretation of this standard error.

c. Find the 95% confidence interval for the mean.

d. Find the 99% confidence interval for the variance.

e. Find the 99% confidence interval for the standard deviation.

10.2.10.2, 10.4.10.4, 9.9.9.9, 10.7,10.7, 10.3.10.3, 9.7.9.7, 10.3,10.3, 10.7, 10.7, 10.1.10.1, 10.6,10.6, 10.3,10.3, 10.0,10.0, 10.2,10.2, 10.1,10.1, 10.3. 10.3, 9.9.9.9, 9.7.,9.7, 10.6,10.6, 10.4,10.4, 10.1,10.1, 10.6,10.6, 10.3,10.3, 10.3,10.3, 10.5.10.5, 10.2.10.2, 10.2.10.2, 10.5,10.5, 10.1,10.1, 11.2.11.2, 10.5,10.5, 10.3,10.3, 10.0,10.0, 10.3,10.3, 10.7,10.7, 11.111.1