## determine the effectiveness of light therapy to alleviate depression, you recruit a group of subjects who have been diagnosed as depressed.

In an effort to determine the effectiveness of light therapy to alleviate depression, you recruit a group of subjects who have been diagnosed as depressed. The subjects are randomly assigned to one of two groups: The control group will receive no light therapy, and the treatment group will get light therapy for 1 hour on even-numbered days over the course of 1 month, at which time all participants will complete the Acme Mood Scale, consisting of 10 questions; this instrument renders a score between 1 and 100 (1 = extremely bad mood, 100 = extremely good mood).

Data set: Ch 05 – Exercise 07A.sav Codebook Variable: group Definition: Light therapy group assignment Type: Categorical (1 = No light therapy, 2 = Light therapy: even days) Variable: mood Definition: Acme Mood Scale Type: Continuous (1 = extremely bad mood, 100 = extremely good mood)

1. Write the hypotheses.

2. Run each criterion of the pretest checklist (normality, homogeneity of variance, and n) and discuss your findings.

3. Run the t test and document your findings (ns, means, and significance [p value]).

4. Write an abstract up to 200 words detailing a summary of the study, the t test results, hypothesis resolution, and implications of your findings.

### Write the integral expression for the two-parameter output correlation function  over the time intervals .

Consider the following mean-square differential equation, driven by a WSS random process  with psd The differential equation is subject to the initial condition , where the random variable  has zero-mean, variance 5, and….

### Repeat the corresponding segment of the correlation function periodically.

If a stationary random process is periodic, then we can represent it by a Fourier series with orthogonal coefficients. This is not true in general when the random process, though….

### Show that an m.s. derivative process  exists here.

Certain continuous time communications channel can be modeled as signal plus an independent additive noise (a) The receiver must process  for the purpose of determining the value of the message random….