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Researchers conducted a study to determine whether magnets are effective in treating back pain.
Construct a 90% confidence interval for the difference between the mean BMI of recent winners and the mean BMI of winners from the 1920s and 1930s.
Construct a 90% confidence interval of the difference between the mean amount of strontium-90 from Pennsylvania residents.
Which type of variable is most dangerous to the statistical conclusion validity and the internal validity of experimental research, and why?
The more a person tries not to think of something, the more he or she will actually end up thinking about it.
What is the likelihood of a Type 1 error if the null hypothesis is actually true?
What conclusions can be drawn about the possibility of the researcher having drawn a statistically invalid conclusion?
Use your own words to describe the procedures of hypothesis testing.
Suppose that you work for the child social services agency in your county. Your job is to investigate instances of possible child neglect or abuse.
Distinguish between a Type I and a Type II error. Why is your significance level the probability of making a Type I error?
What is the difference between statistical significance and practical significance?
What is the null hypothesis? The research hypothesis? What is the Type I error? The Type II error?
Plot the lower and upper bounds for a Laplacian source with s = 1.
Determine the differential entropy H(Y ) in terms of H(X).
A first-order Markov source is characterized by the state probabilities P(xi),i =1, 2,..., L, and the transition probabilities P(xk |xi), k = 1, 2,..., L.
Evaluate the efficiency of a fixed-length binary code in which-Each letter is encoded separately into a binary sequence.
Is it possible to transmit this source reliably at a rate of 1.5 bits per source symbol? Why?
Find L, the average codeword length for the Huffman code; and determine the efficiency of the code defined .
Design a Huffman code that encodes a single level at a time, and determine the average bit rate.
Design a Huffman code for this source, and find the average codeword length of the Huffman code.
Assuming that the source is quantized according to the quantization rule q(-5)=q(-3) = -4 .
Show that I(X; Y ) = 0, with equality if and only if X and Y are statistically independent.
Is it possible to assign 3 data bits to each point of the signal constellation such that the nearest points differ in only 1 bit position?
Determine the autocorrelation function of the sequence {In}.Determine the power density spectrum of u(t).
Assume that it is desirable to have a zero in the power spectrum at f = 1/T . To this end, we use a precoding scheme by introducing bn = an + kan-1.