Answered: The research director of NASA must…

The research director of NASA must choose three experiments to send to the International Space Station. If seventeen experiments are proposed, in how many ways can this decision be made?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

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Classify the experiments according to their experimental designs. Some designs may be used more than once.
Equip male and female students with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Count the words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies.12 Here are two of the six: Readers are supposed to understand that, for example, the 56 women in the first study had x 16,177 and s 7520. It is commonly thought that women talk more than men. Does either of the two samples support this idea? For each study: (a) State hypotheses in terms of the population means for men (M) and women (F). (b) Find the two-sample t statistic. (c) What degrees of freedom does Option 2 use to get a conservative P-value? (d) Compare your value of t with the critical values in Table C. What can you say about the P-value of the test? (e) What do you conclude from the results of these two studies?
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