By University David S Moore, Professor George P McCabe, University Bruce Craig
Ebook by means of Moore, David S., McCabe, George P., Craig, Bruce
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Extra resources for Exploring the Practice of Statistics
7 (page 16). ” You have probably seen graphs like this and have made some of your own. If not, don’t worry, we will go through the details in Chapter 4. For now, let’s just concentrate on the example. 21, p. 7 The Scatterplot tab of the Two-Variable Statistical Calculator applet. 20 Describe the plot. Examine the display in the Scatterplot tab carefully. (a) Is the relationship that we observed for Alabama and Alaska true for all states? Give reasons for your answer. (b) How would you describe the relationship between eating fruits and vegetables and smoking shown in this graph?
This phenomenon is generally true: larger samples provide better information than smaller samples. In later chapters, we will explore how this phenomenon operates in many different situations. Probability models model Tossing coins is something that is easy to understand and discuss. Most statistical studies, however, do not involve tossing coins. We discuss this setting because it gives us a model for many situations. The key characteristics here are that we have two possible outcomes for each trial (or toss) and that the outcome of one trial does not inﬂuence the outcome of any other trial.
Notice that the proportion of heads is printed in the upper-left corner of the display. 467. Also notice that the proportion is 0 for the ﬁrst toss (look at the graph at the right of the display). This means that the ﬁrst toss was tails. As the number of tosses increases, the proportion of heads varies although it looks like the variation may be decreasing. Let’s check this observation. 12 What happens if we toss 150 times? Click the “Toss” button 9 more times. 11. We clearly see that the variation decreases as the sample size increases.