Where are the deer? Random samples of square-kllometer plots wore taken in different ecologieal Incations of a nalional park. The deer counts per scuare klomater were recorded and are shown in the following table Mountain Brush Sagebrush Grassland Pinon Juniper 17 57 13 27 4. 16 32 21 11 Shall we reject or accupt the claim that there is no ditterence in the ineen munber of deer per square kilometer in these differet eco ogical locatinns? Use a 5% level of significance. (a) What is the level ot signiticance? State the null and alternate hypotheses. O H - H2-3i H All three means are dillerent. O llo: H- P,- H: AL least twn means are equal. O Ho: P - Hz = P, H: Nol all the means are ecual. O H P1- P2 - 3i H: Exactly two mrans are equal. (b) Find SSTOn SSger, and SSw atid check that SSTOT - N SSw. (Ue 1 decimal places) SSger- -"ss Find d..eer, d.f.w. MSEI, and MSw (Use 2 decimal placess for MS, ald MSw) df MSpgT- MS- Find the value of the sample F statistic. (Use 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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Problem 25SGR
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O YouTube
O Mastering Biology --
Where are the deer? Random samples of square-kllometcr plots were taken in different ecologieal Incations of a national park. The deer counts per square kliometer were recorded and are shown in the following
table.
Mountain
Brush
Sagebrush
Grassland
Pinon
Juniper
35
17
27
57
4
16
13
32
21
Shall we reject or accupt the claim that there is no ditterence in the inedi number of deer per square kilometer in these different eco logical locatinns? Use a 5% level of signilicance.
(a) What is the level of signiticance?
State the null and alternate hypotheses.
O H: 1 - 2 - si H: All three means are different
O lo: 4 = , - s; H: AL least twn meaıns are equal.
O Ho: - H2 = , H: Nol all the means are ecual.
O H: H1 - H2 - 13; H1: Exactly two means are equal.
(b) Find SSTOT SSBET, and SSw atid check that SSTOT - SSgErI SSw. (Use 3 decimal places)
SSor-
SSBET =
SSw-
Find d.1.eeT, d.f.w, MST, and MSw. (Use 2 decimal places for MSu, and MSw-)
dfr-
df w%=
MSppT
MSw-
Find the value of the sample F statistic. (Use 3 decirnal places.)
梦 0
19 AM
7/19/2021
63°F
P Type here to search
Transcribed Image Text:O YouTube O Mastering Biology -- Where are the deer? Random samples of square-kllometcr plots were taken in different ecologieal Incations of a national park. The deer counts per square kliometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 35 17 27 57 4 16 13 32 21 Shall we reject or accupt the claim that there is no ditterence in the inedi number of deer per square kilometer in these different eco logical locatinns? Use a 5% level of signilicance. (a) What is the level of signiticance? State the null and alternate hypotheses. O H: 1 - 2 - si H: All three means are different O lo: 4 = , - s; H: AL least twn meaıns are equal. O Ho: - H2 = , H: Nol all the means are ecual. O H: H1 - H2 - 13; H1: Exactly two means are equal. (b) Find SSTOT SSBET, and SSw atid check that SSTOT - SSgErI SSw. (Use 3 decimal places) SSor- SSBET = SSw- Find d.1.eeT, d.f.w, MST, and MSw. (Use 2 decimal places for MSu, and MSw-) dfr- df w%= MSppT MSw- Find the value of the sample F statistic. (Use 3 decirnal places.) 梦 0 19 AM 7/19/2021 63°F P Type here to search
O https://www.webassign.net//web/Student/Assignment-Responses/submit?dep-26829196&tags-aulisaver
B YouTube
O Mastering Biology .
What are the degrees of Treedom?
(numerator)
(denominator)
(c) Find the P value of the sample lest slalistic.
O P-value > 0.100
O 0.050 < P-value < 0.100
O 0.025 < P value < 0.050
O 0.010 < P value < 0.025
O 0.001 < P value < 0.010
O Pvalue < 0.001
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
O Sirnce the p-value is greater than the level of signiticance al a - 0.05, wo de not reject Hp.
O Since the P-value is less than or equal to the level of signilicance at e - 0.05, we reject Hg-
O Since the P-value is greater than the level of significarice al a - 0.05, we reject He.
O Since the P-value is less than or equal to the level of significance at a = 0.05, we do nct reject Hg-
(e) Interpret your conclusion in the context of the application.
OAt the 5% level of significance there is insufficlent evidence to conclude thal Lhe mearns are nol all equal.
O At the 5% level of significance there is sufficient eviderice to conclude that the means are not all equal.
O At the 5% level of significance there is insufficient vidence to conclude that the means are all equal.
Oat the 5% level of significance there is sufficient evidence to conclude that the means are all equal.
(f) Make a summary table for your ANOVA test.
Degrees of
Freedom
Source of
Sum of
F
Test
MS
P Value
Variation
Between groups
Within groups
Squares
Ratlo
Decision
-Solect
Select
v.
Tatall
AM
7/19/2021
P Type here to search
63
Transcribed Image Text:O https://www.webassign.net//web/Student/Assignment-Responses/submit?dep-26829196&tags-aulisaver B YouTube O Mastering Biology . What are the degrees of Treedom? (numerator) (denominator) (c) Find the P value of the sample lest slalistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P value < 0.050 O 0.010 < P value < 0.025 O 0.001 < P value < 0.010 O Pvalue < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O Sirnce the p-value is greater than the level of signiticance al a - 0.05, wo de not reject Hp. O Since the P-value is less than or equal to the level of signilicance at e - 0.05, we reject Hg- O Since the P-value is greater than the level of significarice al a - 0.05, we reject He. O Since the P-value is less than or equal to the level of significance at a = 0.05, we do nct reject Hg- (e) Interpret your conclusion in the context of the application. OAt the 5% level of significance there is insufficlent evidence to conclude thal Lhe mearns are nol all equal. O At the 5% level of significance there is sufficient eviderice to conclude that the means are not all equal. O At the 5% level of significance there is insufficient vidence to conclude that the means are all equal. Oat the 5% level of significance there is sufficient evidence to conclude that the means are all equal. (f) Make a summary table for your ANOVA test. Degrees of Freedom Source of Sum of F Test MS P Value Variation Between groups Within groups Squares Ratlo Decision -Solect Select v. Tatall AM 7/19/2021 P Type here to search 63
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