Data below shows strontium concentrations (mg/L) in five water bodies. Is there any significant difference in strontium concentrations in those water bodies?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Anova exercise . Show the step and output using Excel.

Data below shows strontium concentrations (mg/L) in five water
bodies. Is there any significant difference in strontium concentrations
in those water bodies?
Grayson's Pond Beaver Lake Angler's Cove Appletree Lake Rock River
28.2
39.6
46.3
41
56.3
33.2
40.8
42.1
44.1
54.1
36.4
37.9
43.5
46.4
59.4
34.6
37.1
48.8
40.2
62.7
29.1
43.6
43.7
38.6
60
31
42.4
40.1
36.3
57.3
Transcribed Image Text:Data below shows strontium concentrations (mg/L) in five water bodies. Is there any significant difference in strontium concentrations in those water bodies? Grayson's Pond Beaver Lake Angler's Cove Appletree Lake Rock River 28.2 39.6 46.3 41 56.3 33.2 40.8 42.1 44.1 54.1 36.4 37.9 43.5 46.4 59.4 34.6 37.1 48.8 40.2 62.7 29.1 43.6 43.7 38.6 60 31 42.4 40.1 36.3 57.3
WPS Office
S Exercise data_ANOVA (5).xlsx
P 7. Significance Tests IV (4).pptx 9
+
= Menu
Home
Insert
Page Layout
Formulas
Data
Review
View
Tools
Click to find commands
- A A
BIU- B- E- Q. A - Q. EÉ3 E
L Cut
Calibri
- 11
General
Paste
U Copy Format
Merge and Wrap
Conditional Format as
AutoSu
Painter
Center
Тext
Formatting
Table -
P30
® fx
A
B
M
Beaver Lake
Angler's Cove
Rock River
2
Grayson's Pond
Appletree Lake
• C =
28.2
39.6
46.3
41
56.3
E;ni
33.2
40.8
42.1
44.1
54.1
• TSS = E (Xiy – x)² = Exi; –
- C
36.4
37.9
43.5
46.4
59.4
-
6.
34.6
37.1
48.8
40.2
62.7
• SSB =
E,"n;(X; – x)² = , *j?)
29.1
43.6
43.7
38.6
60
- C
8
31
42.4
40.1
36.3
57.3
ni
SSW = TSS – SSB
9
10
df within = df total
11
- df þetween
12
• Where
13
14
x: Overall mean
15
16
X;: Mean of group/treatment i
17
18
Xij: data for treatment i and replicate j
19
20
n¡: no of replicates in treatment i
21
22
23
In this eg., i=4 and j=n
24
25
26
27
Transcribed Image Text:WPS Office S Exercise data_ANOVA (5).xlsx P 7. Significance Tests IV (4).pptx 9 + = Menu Home Insert Page Layout Formulas Data Review View Tools Click to find commands - A A BIU- B- E- Q. A - Q. EÉ3 E L Cut Calibri - 11 General Paste U Copy Format Merge and Wrap Conditional Format as AutoSu Painter Center Тext Formatting Table - P30 ® fx A B M Beaver Lake Angler's Cove Rock River 2 Grayson's Pond Appletree Lake • C = 28.2 39.6 46.3 41 56.3 E;ni 33.2 40.8 42.1 44.1 54.1 • TSS = E (Xiy – x)² = Exi; – - C 36.4 37.9 43.5 46.4 59.4 - 6. 34.6 37.1 48.8 40.2 62.7 • SSB = E,"n;(X; – x)² = , *j?) 29.1 43.6 43.7 38.6 60 - C 8 31 42.4 40.1 36.3 57.3 ni SSW = TSS – SSB 9 10 df within = df total 11 - df þetween 12 • Where 13 14 x: Overall mean 15 16 X;: Mean of group/treatment i 17 18 Xij: data for treatment i and replicate j 19 20 n¡: no of replicates in treatment i 21 22 23 In this eg., i=4 and j=n 24 25 26 27
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