Refer to the IEICE Transactions on Information & Systems (Jan. 2005) study of impedance to leg movements, Exercise 2.46. Recall that engineers attached electrodes to the ankles and knees of volunteers and measured the signal-to noise ratio (SNR) of impedance changes. For a particular ankle-knee electrode pair, the SNR values were measured for a sample of n = 10 volunteers. Assume the distribution of SNR values in the population is normal with μ = 20 and σ = 5.
a. Describe the sampling distribution of T = √n(Y̅ - μ)/s
b. Describe the sampling distribution of x² = (n - 1)S²/σ²

Data from Exercise 2.46

Recall (from Exercise 2.26) that the mean base salary of a software engineering manager is $126,417 (Electronic Design’s 2012 Engineering Salary Survey). Assume (as in Exercise 2.38) that the distribution of base salaries for all software engineers is mound-shaped and symmetric with a standard deviation of $15,000.