# Stat Labs: Mathematical Statistics Through Applications by Deborah Nolan, Terry P. Speed

By Deborah Nolan, Terry P. Speed

Integrating the speculation and perform of data via a chain of case reviews, every one lab introduces an issue, presents a few medical heritage, indicates investigations for the knowledge, and gives a precis of the idea utilized in each one case. aimed toward upper-division scholars.

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Extra resources for Stat Labs: Mathematical Statistics Through Applications (Springer Texts in Statistics)

Example text

How might the fact that there was an exam in the week prior to the survey affect your previous estimates and this comparison? • Consider making an interval estimate for the average amount of time spent playing video games in the week prior to the survey. Keep in mind the overall shape of the sample distribution. A simulation study may help determine the appropriateness of an interval estimate. • Next consider the “attitude” questions. In general, do you think the students enjoy playing video games?

34 2. Who Plays Video Games? • Population parameter is a summary of the characteristic for all units in the population, such as the average value of the characteristic. The population parameter of interest to us here is the average amount of time students in the class spent playing video games in the week prior to the survey. In parallel, for the sample, we have the following: • Sample units are those members of the population selected for the sample. • Sample size, usually denoted by n, is the number of units chosen for the sample.

3. For a simple random sample of size 5 from a population of 100 subjects, let I (1), I (2), . . , I (5) be the indices of the first, second, third, fourth, and fifth subjects sampled. Compute the following and show your work. a. b. c. d. e. f. g. P(I (1) 100), . . , P(I (5) 100). P (the 100th subject is in the sample). E[I (1)]. P(I (1) 100 and I (2) 2). P(I (1) 10, I (2) 20, I (3) 30, I (4) 40, and I (5) 50). P(the 10th, 20th, 30th, 40th, and 50th subjects are in the sample). P(the 10th and 20th subjects are in the sample).