Question

There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations.

Site I (67,35,28,17,82,50,26)

Site Il (28.18,54, 69)

Site III (13,35, 74, 24, 15, 11)

(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.)

SSTOT =

SSBET =

SSW =

Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answers for MSBET, and MSW to two decimal places.)

d.f.BET =

d.f.W =

MSBET =

MSW =

Find the value of the sample F statistic. (Round your answer to two decimal places.)

What are the degrees of freedom?

d.f.N =

d.f.D =

(c) Find the P-value of the sample test statistic.

P-value > 0.100

0.050 < P-value < 0.100

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.001 < P-value < 0.010

P-value < 0.001

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

Since the P-value is greater than the level of significance at α = 0.01, we do not reject H0.

Since the P-value is less than or equal to the level of significance at α = 0.01, we reject H0.

Since the P-value is greater than the level of significance at α = 0.01, we reject H0.

Since the P-value is less than or equal to the level of significance at α = 0.01, we do not reject H0.

(e) Interpret your conclusion in the context of the application.

At the 1% level of significance there is insufficient evidence to conclude that the means are not all equal.

At the 1% level of significance there is sufficient evidence to conclude that the means are all equal.

At the 1% level of significance there is insufficient evidence to conclude that the means are all equal.

At the 1% level of significance there is sufficient evidence to conclude that the means are not all equal

(f) Make a summary table for your ANOVA test. (Round your answers for SS to three decimal places, your MS and F Ratio to two decimal places, and your P-value to four decimal places.) Source of Variation Sum

of Squares Degrees of Freedom MS F Ratio P-Value Test Decision Between groups Within groups Total

Answer #1

b)

SSTOT | 8716.000 | |||

SSBET | 812.202 | |||

SSW | 7903.798 | |||

dfBET | 2 | |||

dfW | 14 | |||

MSBET | 406.101 | |||

MSW | 564.557 | |||

value of test statistic for factor A = | 0.719 | |||

df(numerator) = | 2 | |||

df(Denominator) = | 14 |

c(P-value > 0.100

d)

Since the P-value is greater than the level of significance at α = 0.01, we do not reject H0.

e)

At the 1% level of significance there is insufficient evidence to conclude that the means are not all equal.

f)

Source of Variation |
SS |
df |
MS |
F |
P-value |
decision |

Between Groups | 812.202 | 2 | 406.101 | 0.719 | >0.10 | fail to reject Ho |

Within Groups | 7903.798 | 14 | 564.557 | |||

Total | 8716.000 | 16 |

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
69
26
15
39
16
31
29
50
72
10
63
29
80
10
57
17
29
Shall we reject or not reject the claim that there...

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
62
29
17
39
18
34
27
54
74
17
60
28
81
18
52
12
23
Shall we reject or not reject the claim that there...

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
64
26
15
35
17
32
22
54
65
11
68
28
77
16
54
13
20
Shall we reject or not reject the claim that there...

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
65
20
10
30
15
33
23
57
71
15
60
23
77
13
50
18
29
Shall we reject or not reject the claim that there...

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
65
21
17
30
19
35
23
53
71
17
68
24
76
12
52
17
21
Shall we reject or not reject the claim that there...

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
64
24
18
33
14
30
22
50
73
17
61
29
82
14
56
16
26
Shall we reject or not reject the claim that there...

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
64
20
10
34
17
36
21
54
70
11
62
28
77
12
55
19
24
Shall we reject or not reject the claim that there...

#13
There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
64
26
17
39
10
38
24
58
72
11
62
22
81
18
52
13
28
(b) Find SSTOT,
SSBET, and
SSW and check that...

There is an archaeological study area located in southwestern
New Mexico. Potsherds are broken pieces of prehistoric Native
American clay vessels. One type of painted ceramic vessel is called
Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
62
29
14
39
16
30
23
56
72
15
65
29
82
16
56
16
24
Shall we reject or not reject the claim that there...

Wind Mountain is an archaeological study area located in
southwestern New Mexico. Potsherds are broken pieces of prehistoric
Native American clay vessels. One type of painted ceramic vessel is
called Mimbres classic black-on-white. At three different sites,
the number of such sherds was counted in local dwelling
excavations.
Site I
Site II
Site III
64
22
17
38
14
35
22
54
74
12
63
21
75
12
55
14
20
(b) Find SSTOT, SSBET, and
SSW and check that...

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