Its number 5. Instructions are on the top. DISTRIBUTIONSear Guide!kpack cost? Do brand names really make any difference in cost? One wayon is to construct a one-way ANOVA test to study list prices for variouseatures but different brand names. For more information, see web sites forstores.In each problem, assume that the distributions are normal and have approxi-mately the same population standard deviation.In each problem, please provide the following information.(a) What is the level of significance? State the null and alternate hypotheses.(b) Find SS,d.f-wSS BET + SSw. Find d.f. BetSS prp and SS, and check that SSTOTand MSy. Find the value of the sample test statistic F (F ratio).TOTBETMS,BETWhat are the degrees of freedom?(c) Find (or estimate) the P-value of the sample test statistic.(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the nullhypothesis?(e) Interpret your conclusion in the context of the application.(f) Make a summary table for your ANOVA test.1. | Archaeology: Ceramics Wind Mountain is an archaeological study arealocated in southwestern New Mexico. Pot sherds are broken pieces of pre-historic Native American clay vessels. One type of painted ceramic vessel iscalled Mimbres classic black-on-white. At three different sites, the numberof such sherds was counted in local dwelling excavations (Source: Based oninformation from Mimbres Mogollon Archaeology by A. I. Woosley andA. J. McIntyre, University of New Mexico Press).Site ISite IISite III6125123418362554691267277918551420Shall we reject or not reject the claim that there is no difference in populationmean Mimbres classic black-on-white sherd counts for the three sites? Use a1% level of significance.2. | Archaeology: Ceramics Another type of painted ceramic vessel is calledthree-circle red-on-white (see reference in Problem 1). At four different sitesin the Wind Mountain archaeological region, the number of such sherds wascounted in local dwelling excavations.Site ISite IISite IIISite IV17183213234191933181419843341125121615 Section 10.5 One-Way ANOVA: Comparing Several Sample Means687Shall we reject or not reject the claim that there is no difference in the popula-tion mean three-circle red-on-white sherd counts for the four sites? Use a 5%level of significance.3. | Economics: Profits per Employee How productive are U.S. workers? Oneway to answer this question is to study annual profits per employee. A randomsample of companies in computers (I), aerospace (II), heavy equipment (III),and broadcasting (IV) gave the following data regarding annual profits per em-ployee (units in thousands of dollars) (Source: Forbes Top Companies, editedby J. T. Davis, John Wiley and Sons).z = l3 = H4is are equal.;F = 0.846.om TI-84,gnificance,evidence toeans are not allIIIIIIIV27.813.322.317.123.89.920.916.914.111.77.214.38.88.612.815.211.96.67.010.119.39.0Shall we reject or not reject the claim that there is no difference in populationmean annual profits per employee in each of the four types of companies?Use a 5% level of significance.12 - zis are equal.;F = 0.816.om TI-84,4. | Economics: Profits per Employee A random sample of companies in electricutilities (I), financial services (II), and food processing (III) gave the followinginformation regarding annual profits per employee (units in thousands ofdollars). (See reference in Problem 3.)IIIIIIgnificance,evidence toeans are not all49.155.639.043.425.037.332.941.310.827.829.932.538.339.515.836.142.620.2Shall we reject or not reject the claim that there is no difference in populationmean annual profits per employee in each of the three types of companies?Use a 1% level of significance.5. | Ecology: Deer Where are the deer? Random samples of square-kilometerplots were taken in different ecological locations of Mesa Verde NationalPark. The deer counts per square kilometer were recorded and are shownin the following table (Source: The Mule Deer of Mesa Verde NationalPark, edited by G. W. Mierau and J. L. Schmidt, Mesa Verde MuseumAssociation).z = Mzi5 are equal.F = 5.005.0.050. From346.gnificance,idence toeans are not allMountain BrushSagebrush GrasslandPinon Juniper30202958720182922Shall we reject or accept the claim that there is no difference in the meannumber of deer per square kilometer in these different ecological locations?Use a 5% level of significance.Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-208

The level of significance α=0.05. Hypothesis: The null and alternative hypothesis are below: H0:…

Answered: 5. | Ecology: Deer Where are the deer?…

College Algebra (MindTap Course List)

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Author:R. David Gustafson, Jeff Hughes

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Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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Its number 5. Instructions are on the top.

Transcribed Image Text:DISTRIBUTIONS ear Guide! kpack cost? Do brand names really make any difference in cost? One way on is to construct a one-way ANOVA test to study list prices for various eatures but different brand names. For more information, see web sites for stores. In each problem, assume that the distributions are normal and have approxi- mately the same population standard deviation. In each problem, please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Find SS, d.f-w SS BET + SSw. Find d.f. Bet SS prp and SS, and check that SSTOT and MSy. Find the value of the sample test statistic F (F ratio). TOT BET MS, BET What are the degrees of freedom? (c) Find (or estimate) the P-value of the sample test statistic. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? (e) Interpret your conclusion in the context of the application. (f) Make a summary table for your ANOVA test. 1. | Archaeology: Ceramics Wind Mountain is an archaeological study area located in southwestern New Mexico. Pot sherds are broken pieces of pre- historic 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 (Source: Based on information from Mimbres Mogollon Archaeology by A. I. Woosley and A. J. McIntyre, University of New Mexico Press). Site I Site II Site III 61 25 12 34 18 36 25 54 69 12 67 27 79 18 55 14 20 Shall we reject or not reject the claim that there is no difference in population mean Mimbres classic black-on-white sherd counts for the three sites? Use a 1% level of significance. 2. | Archaeology: Ceramics Another type of painted ceramic vessel is called three-circle red-on-white (see reference in Problem 1). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 17 18 32 13 23 4 19 19 33 18 14 19 8 43 34 11 25 12 16 15

Section 10.5 One-Way ANOVA: Comparing Several Sample Means
687
Shall we reject or not reject the claim that there is no difference in the popula-
tion mean three-circle red-on-white sherd counts for the four sites? Use a 5%
level of significance.
3. | Economics: Profits per Employee How productive are U.S. workers? One
way to answer this question is to study annual profits per employee. A random
sample of companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual profits per em-
ployee (units in thousands of dollars) (Source: Forbes Top Companies, edited
by J. T. Davis, John Wiley and Sons).
z = l3 = H4i
s are equal.
;F = 0.846.
om TI-84,
gnificance,
evidence to
eans are not all
I
II
III
IV
27.8
13.3
22.3
17.1
23.8
9.9
20.9
16.9
14.1
11.7
7.2
14.3
8.8
8.6
12.8
15.2
11.9
6.6
7.0
10.1
19.3
9.0
Shall we reject or not reject the claim that there is no difference in population
mean annual profits per employee in each of the four types of companies?
Use a 5% level of significance.
12 - zi
s are equal.
;F = 0.816.
om TI-84,
4. | Economics: Profits per Employee A random sample of companies in electric
utilities (I), financial services (II), and food processing (III) gave the following
information regarding annual profits per employee (units in thousands of
dollars). (See reference in Problem 3.)
I
II
III
gnificance,
evidence to
eans are not all
49.1
55.6
39.0
43.4
25.0
37.3
32.9
41.3
10.8
27.8
29.9
32.5
38.3
39.5
15.8
36.1
42.6
20.2
Shall we reject or not reject the claim that there is no difference in population
mean annual profits per employee in each of the three types of companies?
Use a 1% level of significance.
5. | Ecology: Deer Where are the deer? Random samples of square-kilometer
plots were taken in different ecological locations of Mesa Verde National
Park. The deer counts per square kilometer were recorded and are shown
in the following table (Source: The Mule Deer of Mesa Verde National
Park, edited by G. W. Mierau and J. L. Schmidt, Mesa Verde Museum
Association).
z = Mzi
5 are equal.
F = 5.005.
0.050. From
346.
gnificance,
idence to
eans are not all
Mountain Brush
Sagebrush Grassland
Pinon Juniper
30
20
29
58
7
20
18
29
22
Shall we reject or accept the claim that there is no difference in the mean
number of deer per square kilometer in these different ecological locations?
Use a 5% level of significance.
Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-208

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