The accompanying data table contains chest deceleration measurements (ing, where g is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to u 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below. Click the icon to view the table of chest deceleration measurements Click the icon to view the table of analysis of variance results. a. What characteristic of the data specifically indicates that one-way analysis of variance should be used? O A. The measurements are categorized according to the one characteristic of size. OB. There are three samples of measurements. O C. The population means are approximately normal. OD. Nothing specifically indicates that one-way analysis of variance should be used. b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance? O A. The method is based on showing that the population variances are similar. OB. The method is based on showing that the population variances are different. O C. The method is based on estimates of a common population variance. O D. The method is based on estimates of multiple varying population variances. More Info SPSS Sum of Results Squares Between 200.857 Groups 549.714 750.571 Within Groups Total 4 df 2 18 20 Mean Square 100.429 30.540 F 3.288 - X Sig. 0.061 More Info Chest Deceleration Measurements (g) from a Standard Crash Test 44 39 54 39 37 44 53 43 42 52 49 36 32 45 41 38 37 38 Small Midsize Large Print Done 42 41 33

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
The accompanying data table contains chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a
0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below.
Click the icon to view the table of chest deceleration measurements
Click the icon to view the table of analysis of variance results.
a. What characteristic of the data specifically indicates that one-way analysis of variance should be used?
O A. The measurements are categorized according to the one characteristic of size.
O B. There are three samples of measurements.
O C. The population means are approximately normal.
O D. Nothing specifically indicates that one-way analysis of variance should be used.
b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance?
O A. The method is based on showing that the population variances are similar.
O B. The method is based on showing that the population variances are different.
O C. The method is based on estimates of a common population variance.
O D. The method is based on estimates of multiple varying population variances.
More Info
SPSS Sum of
Results Squares
Between 200.857
Groups
Within
Groups
Total
549.714
750.571
df
2
18
20
Mean Square
100.429
30.540
F
3.288
Sig.
0.061
C
More Info
Chest Deceleration Measurements (g) from a Standard Crash Test
37
54
44
43
42
41
38
Small
Midsize
Large
44
36
32
39
53
45
Print
Done
39
52
37
49
38
42
41
33
X
Transcribed Image Text:The accompanying data table contains chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below. Click the icon to view the table of chest deceleration measurements Click the icon to view the table of analysis of variance results. a. What characteristic of the data specifically indicates that one-way analysis of variance should be used? O A. The measurements are categorized according to the one characteristic of size. O B. There are three samples of measurements. O C. The population means are approximately normal. O D. Nothing specifically indicates that one-way analysis of variance should be used. b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance? O A. The method is based on showing that the population variances are similar. O B. The method is based on showing that the population variances are different. O C. The method is based on estimates of a common population variance. O D. The method is based on estimates of multiple varying population variances. More Info SPSS Sum of Results Squares Between 200.857 Groups Within Groups Total 549.714 750.571 df 2 18 20 Mean Square 100.429 30.540 F 3.288 Sig. 0.061 C More Info Chest Deceleration Measurements (g) from a Standard Crash Test 37 54 44 43 42 41 38 Small Midsize Large 44 36 32 39 53 45 Print Done 39 52 37 49 38 42 41 33 X
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