Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 15.3, Problem 27E
To determine
Check whether the data provide any evidence that the mean soil moisture is the same for all the three treatments at 0.05 level of significance.
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The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes.
Athlete
X-ray
Ultrasound
1
5.00
4.50
2
15.00
11.75
3
9.25
9.00
4
12.00
11.75
5
17.25
17.00
6
29.50
27.50
7
5.50
6.50
8
6.00
6.75
9
8.00
8.75
10
16.50
17.50
11
9.25
9.50
12
11.00
12.00
13
12.00
12.25
14
14.00
15.50
15
17.00
18.00
16
18.00
18.25
Use these data to estimate the difference in mean body fat percentage measurement for the two methods.
Use a confidence level of 95%. (Use ?d = ?X-ray − ?ultrasound. Round your answers to three decimal places.)
,
%
Interpret the interval in…
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes.
Athlete
X-ray
Ultrasound
1
5.00
4.25
2
12.00
8.75
3
9.25
9.00
4
12.00
11.75
5
17.25
17.00
6
29.50
27.50
7
5.50
6.50
8
6.00
6.75
9
8.00
8.75
10
9.50
10.50
11
9.25
9.50
12
11.00
12.00
13
12.00
12.25
14
14.00
15.50
15
17.00
18.00
16
18.00
18.25
Use these data to estimate the difference in mean body fat percentage measurement for the two methods.
Use a confidence level of 95%. (Use ?d = ?X-ray − ?ultrasound. Round your answers to three decimal places.)
,
%
Interpret the interval in…
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes.
Athlete
X-ray
Ultrasound
1
5.00
4.25
2
16.00
12.75
3
9.25
9.00
4
12.00
11.75
5
17.25
17.00
6
29.50
27.50
7
5.50
6.50
8
6.00
6.75
9
8.00
8.75
10
9.50
10.50
11
9.25
9.50
12
11.00
12.00
13
12.00
12.25
14
14.00
15.50
15
17.00
18.00
16
18.00
18.25
Use these data to estimate the difference in mean body fat percentage measurement for the two methods.
Use a confidence level of 95%. (Use ?d = ?X-ray − ?ultrasound. Round your answers to three decimal places.)
,
%
Interpret the interval in context.…
Chapter 15 Solutions
Introduction To Statistics And Data Analysis
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Prob. 2ECh. 15.1 - Employees of a state university system can choose...Ch. 15.1 - The accompanying summary statistics for a measure...Ch. 15.1 - The authors of the paper Age and Violent Content...Ch. 15.1 - The paper referenced in the previous exercise also...Ch. 15.1 - Do people feel hungrier after sampling a healthy...Ch. 15.1 - Prob. 8ECh. 15.1 - The Paper Womens and Mens Eating Behavior...Ch. 15.1 - Can use of an online plagiarism-detection system...
Ch. 15.1 - Prob. 11ECh. 15.1 - In the introduction to this chapter, we considered...Ch. 15.1 - In an experiment to investigate the performance of...Ch. 15.2 - Leaf surface area is an important variable in...Ch. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - The paper referenced in Exercise 15.5 described an...Ch. 15.2 - Prob. 19ECh. 15.2 - The accompanying data resulted from a flammability...Ch. 15.2 - Do lizards play a role in spreading plant seeds?...Ch. 15.2 - Samples of six different brands of diet or...Ch. 15.3 - A particular county employs three assessors who...Ch. 15.3 - The accompanying display is a partially completed...Ch. 15.3 - With the use of biofuels increasing, investigators...Ch. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - The paper Feedback Enhances the Positive Effects...Ch. 15.4 - The following graphs appear in the paper Which...Ch. 15.4 - The behavior of undergraduate students when...Ch. 15.4 - Prob. 33ECh. 15.4 - The following partially completed ANOVA table...Ch. 15.4 - Prob. 35ECh. 15.4 - The accompanying ANOVA table is similar to one...Ch. 15.4 - Identification of sex in human skeletons is an...Ch. 15 - Suppose that a random sample or size n = 5 was...Ch. 15 - Parents are frequently concerned when their child...Ch. 15 - Prob. 40CRCh. 15 - Consider the accompanying data on plant growth...Ch. 15 - Prob. 42CRCh. 15 - Prob. 43CRCh. 15 - Prob. 44CRCh. 15 - Prob. 45CRCh. 15 - Prob. 46CRCh. 15 - Prob. 47CRCh. 15 - Prob. 48CRCh. 15 - Prob. 49CR
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- The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray Ultrasound 1 5.00 4.25 2 15.00 11.75 3 9.25 9.00 4 12.00 11.75 5 17.25 17.00 6 29.50 27.50 7 5.50 6.50 8 6.00 6.75 9 8.00 8.75 10 15.50 16.50 11 9.25 9.50 12 11.00 12.00 13 12.00 12.25 14 14.00 15.50 15 17.00 18.00 16 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods.arrow_forwardA mail-order catalog firm would like to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different size advertisements were considered. The data obtained follow. At the 0.05 level of significance, a. Is there an interaction between type of design and size of advertisement? b. Is there an effect due to type of design? c. Is there an effect due to size of advertisement?arrow_forwardNorthern flying squirrels eat lichen and fungi, which makes for a relatively low quality diet. The authors of the paper "Nutritional Value and Diet Preference of Arboreal Lichens and Hypogeous Fungi for Small Mammals in the Rocky Mountains" + measured nitrogen intake and nitrogen retention in six flying squirrels that were fed the fungus Rhizopogon. Data read from a graph that appeared in the paper are given in the table below. (The negative value for nitrogen retention for the first squirrel represents a net loss in nitrogen.) Nitrogen Intake, x (grams) 0.03 0.10 0.07 0.06 0.07 0.25 (a) Construct a scatterplot of these data. y 0.10 0.05 -0.05 y 0.10 0.05 -0.05 0.05 0.10 g 0.05 0.10 Nitrogen Retention, y (grams) -0.04 0.00 0.01 0.01 0.04 0.11 g + 0.15 0.20 0.25 0.15 ●● 0.20 0.25 X y 0.10 0.05 -0.05 y 0.10 0.05 -0.05 (b) Find the equation of the least-squares regression line. (Round your values to five decimal places.) ŷ = 0.05 0.10 0.15 0.20 0.25 0.05 0.10 0.15 0.20 0.25 (c) Based on…arrow_forward
- The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray Ultrasound 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 8.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 13.50 9.25 11.00 12.00 14.00 17.00 18.00 4.25 4.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 14.50 9.50 12.00 12.25 15.50 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μ = MX-ray-Multrasound. Round your answers to three decimal places.) × % Interpret the interval in context. O There is a 95% chance that the true mean body fat percentage…arrow_forwardCompare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?arrow_forwardA study regarding the average cost of online streaming services in two states (A and B) is conducted. The results are shown in the following table. X and Y are independent.arrow_forward
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- The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 14.50 9.25 11.00 12.00 14.00 17.00 18.00 Ultrasound % 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 15.50 9.50 12.00 12.25 15.50 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μ = Mx-ray - Multrasound. Round your answers to three decimal places.) Interpret the interval in context. O There is a 95% chance that the true mean body fat percentage…arrow_forwardThe authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 15.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 16.50 9.25 11.00 12.00 14.00 17.00 18.00 Ultrasound 4.25 11.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 17.50 9.50 12.00 12.25 15.50 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μ = x-ray ultrasound. Round your answers to three decimal places.) - Interpret the interval in context. O We are 95% confident that the true mean body fat percentage…arrow_forwardThe authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 11.50 9.25 11.00 12.00 14.00 17.00 18.00 Ultrasound 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 12.50 9.50 12.00 12.25 15.50 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μ = x-ray ultrasound. Round your answers to three decimal places.) 1% - Interpret the interval in context. O We are 95% confident that the true mean body fat percentage…arrow_forward
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