Compute the value of F statistic value of between groups using the following ANOVA table: Source of variation Between Groups Within group SS df MS F P-value 3 0.0007 594.407 Total 1485.09 21
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- Consider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent). Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 4 8 M = 2 M = 4 M = 6 For this question, compute G 48…Consider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent). Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 4 8 M=2 M=4 M=6 For this question, compute X2Consider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent). Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 4 8 M = 2 M = 4 M = 6 How many within-group degrees of freedom are there…
- A market research organization claims that, among500 shoppers interviewed, 308 regularly buy Product X,266 regularly buy Product Y, 103 regularly buy both, and59 buy neither on a regular basis. Using a Venn diagramand filling in the number of shoppers associated with thevarious regions, check whether the results of this studyshould be questioned.Is there a relation between police protection and fire protection? A random sample of large population areas gave the following information about the number of local police and the number of local fire-fighters (units in thousands). (Reference: Statistical Abstract of the United States.) Area 1 2 3 4 5 6 7 8 9 10 11 12 13 Police 9.2 9.3 14.1 4.2 11.7 3.0 8.5 14.7 9.8 14.5 11.5 17.5 14.4 Firefighters 2.5 1.8 3.8 1.5 4.0 1.7 2.6 4.7 2.1 3.3 3.1 4.6 5.3 Use a 5% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of number of police and number of firefighters. (a) Rank-order police using 1 as the largest data value. Also rank-order firefighters using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. Area PoliceRank x FirefightersRank y d = x - y d2 12345678910111213 Σd2 =Consider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent). Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 4 8 M = 2 M = 4 M = 6 For this question, compute SStotal
- Is there a relation between police protection and fire protection? A random sample of large population areas gave the following information about the number of local police and the number of local fire-fighters (units in thousands). (Reference: Statistical Abstract of the United States.) Area 1 2 3 4 5 6 7 8 9 10 11 12 13 Police 7.7 17.4 8.9 5.3 12.9 15.1 10.6 14.8 17.7 17.2 13.7 13.3 3.6 Firefighters 0.9 5.2 2.2 1.8 3.0 2.0 3.6 4.2 5.1 5.3 2.8 4.6 0.8 Use a 5% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of number of police and number of firefighters. (a) Rank-order police using 1 as the largest data value. Also rank-order firefighters using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. Area PoliceRank x FirefightersRank y d = x - y d2 12345678910111213 Σd2 = (b) What is the level of significance? (c) Compute the sample test…Nine laboratory equipment dealers were asked for price quotes on two similar air quality samplers. The results of the survey are given below. At α = 0.05, is it reasonable to assert that on an average, sampler manufactured by company A is less expensive than sampler manufactured by company B?Dealer 1 2 3 4 5 6 7 8 9Company A price (in $) 250 319 285 260 305 295 289 309 275Company B price (in $) 270 325 269 275 289 285 295 325 300The accompanying data came from a study of collusion in bidding within the construction industry ("Detection of Collusive Behavior." J. of Construction Engr: and Mgmnt.2012:1251-1258). No.Bidders No. Contracts 2 7 s 20 4 26 5 16 6 11 7 9 8 6 9 8 10 3 11 2 a. What proportion of the contracts involved at most five bidders? At least five bidders? b. Whatproportion of the contracts involved between five and 10 bidders, inclusive? Strictly bet\veen five and 10 bidders? c. Construct a histogram and comment on interesting features.
- Consider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent). Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 4 8 M = 2 M = 4 M = 6 For this question, compute the between groups Mean…Consider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent). Group 1 Group 2 Group 3 1 5 6 3 3 4 3 4 6 1 4 8 M = 2 M = 4 M = 6 Compute the between groups Sum of Squares (SSbetween)is it true that the independent-samples t-test is used to determine if there is a difference between the means of two unrelated groups on the same continuous dependent variable ?