Contents
- Preface
1Sampling and Data
- Introduction
- 1.1Definitions of Statistics, Probability, and Key Terms
- 1.2Data, Sampling, and Variation in Data and Sampling
- 1.3Frequency, Frequency Tables, and Levels of Measurement
- 1.4Experimental Design and Ethics
- 1.5Data Collection Experiment
- 1.6Sampling Experiment
- Key Terms
- Chapter Review
- Practice
- Homework
- Bringing It Together: Homework
- References
- Solutions
10Hypothesis Testing with Two Samples
- AAppendix A Review Exercises (Ch 3–13)
- BAppendix B Practice Tests (1–4) and Final Exams
- CData Sets
- DGroup and Partner Projects
- ESolution Sheets
- FMathematical Phrases, Symbols, and Formulas
- GNotes for the TI-83, 83+, 84, 84+ Calculators
- HTables
- Index
6.4
Normal Distribution—Pinkie Length
Stats Lab
Normal Distribution (Pinkie Length)
- The student will compare empirical data and a theoretical distribution to determine if data from the experiment follow a continuous distribution.
Collect the DataMeasure the length of your pinkie finger, in centimeters.
- Randomly survey 30 adults for their pinkie finger lengths. Round the lengths to the nearest 0.5 cm.
_______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ Table 6.2 - Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes.
Figure 6.11
- Calculate the following:
- = _______
- s = _______
- Draw a smooth curve through the top of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. Keep it simple. Does the graph go straight across, does it have a V-shape, does it have a hump in the middle or at either end, and so on?
Analyze the Distribution Using your sample mean, sample standard deviation, and histogram, what was the approximate theoretical distribution of the data you collected?
- X ~ _____ (_____, _____)
- How does the histogram help you arrive at the approximate distribution?
Describe the Data Using the data you collected complete the following statements. Hint—Order the data.
Remember
(IQR = Q3 – Q1)
- IQR = _______
- The 15th percentile is _______.
- The 85th percentile is _______.
- Median is _______.
- What is the theoretical probability that a randomly chosen pinkie length is more than 6.5 cm?
- Explain the meaning of the 85th percentile of these data.
Theoretical Distribution Using the theoretical distribution, complete the following statements. Use a normal approximation based on the sample mean and standard deviation.
- IQR = _______
- The 15th percentile is _______.
- The 85th percentile is _______.
- Median is _______.
- What is the theoretical probability that a randomly chosen pinkie length is more than 6.5 cm?
- Explain the meaning of the 85th percentile of these data.
Discussion QuestionsDo the data you collected give a close approximation to the theoretical distribution? In complete sentences and comparing the results in the sections titled Describe the Data and Theoretical Distribution, explain why or why not.