Subjects (just one word):  Observations (just one word):  Factor: Type of singer Number of Levels (a number):  How many bass singers were observed?   What was the total height of the tenor singers?   What was the average height of the alto singers (to one decimal place)?  What was the variance of the soprano singers’ heights (to one decimal place)?   What was the standard deviation of the bass singers’ heights (to one decimal place)?   How many singers altogether were observed?  The output contains two estimates of the common population variance: Which of the two estimates is expected to be stable (to one decimal place)?  Which of the two estimates is expected to change as the population means change (to one decimal place)?

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Subjects (just one word): 

Observations (just one word): 

Factor: Type of singer

Number of Levels (a number):

 How many bass singers were observed? 

 What was the total height of the tenor singers? 

 What was the average height of the alto singers (to one decimal place)?

 What was the variance of the soprano singers’ heights (to one decimal place)? 

 What was the standard deviation of the bass singers’ heights (to one decimal place)? 

 How many singers altogether were observed? 

The output contains two estimates of the common population variance:

Which of the two estimates is expected to be stable (to one decimal place)? 

Which of the two estimates is expected to change as the population means change (to one decimal place)?

Use the information provided below for the SINGERS questions that follow.
Our goal will be to see if there is any association between type of singer and
height.
ONE-WAY ANOVA
Data from DASL: http://lib.stat.cmu.edu/DASL/Datafiles/Singers.html
This exercises deals with the heights (in inches) of singers. The graph and Excel Anova output
are given below.
80
75
70
65
60
55
• Soprano
• Alto
• Tenor
• Bass
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Soprano
36
2313
64.25
3.5071
Alto
35
2271
64.885714
7.8101
Tenor
20
1383
69.15
10.3447
Bass
39
2758
70.717949
5.5762
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
1058.5289
3
352.84298 55.800134 5.1E-23
2.67652
Within Groups
796.74029
126
6.3233357
Total
1855.2692
129
© 2020 Radha Bose, Florida State University Department of Statistics
Heights (inches)
Transcribed Image Text:Use the information provided below for the SINGERS questions that follow. Our goal will be to see if there is any association between type of singer and height. ONE-WAY ANOVA Data from DASL: http://lib.stat.cmu.edu/DASL/Datafiles/Singers.html This exercises deals with the heights (in inches) of singers. The graph and Excel Anova output are given below. 80 75 70 65 60 55 • Soprano • Alto • Tenor • Bass Anova: Single Factor SUMMARY Groups Count Sum Average Variance Soprano 36 2313 64.25 3.5071 Alto 35 2271 64.885714 7.8101 Tenor 20 1383 69.15 10.3447 Bass 39 2758 70.717949 5.5762 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1058.5289 3 352.84298 55.800134 5.1E-23 2.67652 Within Groups 796.74029 126 6.3233357 Total 1855.2692 129 © 2020 Radha Bose, Florida State University Department of Statistics Heights (inches)
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