Discrete and continuous data
Distinguish between discrete and continuous data in brief.
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Discrete data are whole numbers. They take on particular values and no values in between. Data like the number of homes one has could be one or two as an example of discrete data as one could not own one and a half homes.Continuous data is a random variable and can take on any value on a range. An example of temperature could be 30.23 degrees.
In testing the null hypothesis H0: P=0.6 vs the alternative H1 : P < 0.6 for a binomial model b(n,p), the rejection region of a test has the structure X ≤ c, where X is the number of successes in n trials. For each of the following tests, d
1. Prove that the law of iterated expectations for continuous random variables.2. Prove that the bounds in Chebyshev's theorem cannot be improved upon. I.e., provide a distribution which satisfies the bounds exactly for k ≥1, show that it satisfies the
You must use the pre-formatted cover sheet when you hand in the assignment. Out full detailed solutions. Sloppy work will naturally receive a lower score. 1. Suppose at each step, a particle moving on sites labelled by integer has three choices: move one site to the right with pro
what is the appropriate non-parametric counterpart for the independent sample t test?
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1) Construct a 99% confidence interval for the population mean µ. 2) At what significance level do the data provide good evidence that the average body temperature is
Suppose we have a stick of length L. We break it once at some point X _ Q : How you would use randomization in The design of instrument controls affects how easily people can use them. An investigator used 25 students who were right-handed to determine whether right-handed subjects preferred right-handed threaded knobs. He had two machines that differed only in that one had a
The design of instrument controls affects how easily people can use them. An investigator used 25 students who were right-handed to determine whether right-handed subjects preferred right-handed threaded knobs. He had two machines that differed only in that one had a
1) A Discrete random variable can be described as Binomial distribution if is satisfies four conditions, Briefly discuss each of these conditions2) A student does not study for a multiple choice examination and decides to guess the correct answers, If the
Explain sampling bias and describe how random sampling serves to avoid bias in the process of data collection.
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