Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 5, Problem 19P
Use the following information to answer the next ten questions. The data that follow are the square footage (In 1,000 feet squared) of 28 homes.
| 1.5 | 2.4 | 3.6 | 2.6 | 1.6 | 2.4 | 2.0 |
| 3.5 | 2.5 | 1.8 | 2.4 | 2.5 | 3.5 | 4.0 |
| 2.6 | 1.6 | 2.2 | 1.8 | 3.8 | 2.5 | 1.5 |
| 2.8 | 1.8 | 4.5 | 1.9 | 1.9 | 3.1 | 1.6 |
Table 5.4
The sample mean 2.50 and the sample standard deviation 0.8302.
The distribution can be written as X — U( 1.5, 3.5).
What are the constraints for the values of x?
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The U.S. Postal Service will ship a Priority Mail® Large Flat Rate Box (12" 3 12" 3 5½") any
where in the United States for a fixed price, regardless of weight. The weights (ounces) of 20 ran
domly chosen boxes are shown below. (a) Make a stem-and-leaf diagram. (b) Make a histogram.
(c) Describe the shape of the distribution. Weights
72 86 28 67 64 65 45 86 31 32
39 92 90 91 84 62 80 74 63 86
(a) What is a bimodal histogram? (b) Explain the difference between left-skewed, symmetric, and right-skewed histograms. (c) What is an outlier
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Chapter 5 Solutions
Introductory Statistics
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