To prove: x ( G ) = n yet G does not have K n as sub-graph. Let n ≥ 4 be a natural number. And G be the graph that consist of union of K n − 3 and a 5-cycle C , together with all possible edges between the vertices.

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Chapter 13.2, Problem 13E

To determine

To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

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Question 4 Fourteen individuals were given a complex puzzle to complete. The times in seconds was recorded for their first and second attempts and the results provided below: 1 2 3 first attempt 172 255 second attempt 70 4 5 114 248 218 194 270 267 66 6 7 230 219 341 174 8 10 9 210 261 347 218 200 281 199 308 268 243 236 300 11 12 13 14 140 302 a. Calculate a 95% confidence interval for the mean time taken by each individual to complete the (i) first attempt and (ii) second attempt. [la] b. Test the hypothesis that the difference between the two mean times for both is 100 seconds. Use the 5% level of significance. c. Subsequently, it was learnt that the times for the second attempt were incorrecly recorded and that each of the values is 50 seconds too large. What, if any, difference does this make to the results of the test done in part (b)? Show all steps for the hypothesis test

Question 3 3200 students were asked about the importance of study groups in successfully completing their courses. They were asked to provide their current majors as well as their opinion. The results are given below: Major Opinion Psychology Sociology Economics Statistics Accounting Total Agree 144 183 201 271 251 1050 Disagree 230 233 254 227 218 1162 Impartial 201 181 196 234 176 988 Total 575 597 651 732 645 3200 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. | d. What conclusion are you allowed to draw? c. Would your conclusion change at the 10% level of significance? f. Confirm test results in part (c) using JASP. Note: All JASP input files and output tables should be provided

Question 1 A tech company has acknowledged the importance of having records of all meetings conducted. The meetings are very fast paced and requires equipment that is able to capture the information in the shortest possible time. There are two options, using a typewriter or a word processor. Fifteen administrative assistants are selected and the amount of typing time in hours was recorded. The results are given below: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 typewriter 8.0 6.5 5.0 6.7 7.8 8.5 7.2 5.7 9.2 5.7 6.5 word processor 7.2 5.7 8.3 7.5 9.2 7.2 6.5 7.0 6.9 34 7.0 6.9 8.8 6.7 8.8 9.4 8.6 5.5 7.2 8.4 a. Test the hypothesis that the mean typing time in hours for typewriters is less than 7.0. Use the 1% level of significance. b. Construct a 90% confidence interval for the difference in mean typing time in hours, where a difference is equal to the typing time in hours of word processors minus typing time in hours of typewriter. c. Using the 5% significance level, determine whether there is…

Answer 2

Question

Chapter 13.2, Problem 13E

To determine

To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

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Answer 3

Question

Chapter 13.2, Problem 13E

To determine

To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

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Answer 4

Question

Chapter 13.2, Problem 13E

To determine

To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

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Answer 5

Chapter 13.2, Problem 13E

To determine

To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

Answer 6

Chapter 13.2, Problem 13E

To determine

To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

Answer 7

Chapter 13.2, Problem 13E

To determine

To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

Answer 8

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Answer 9

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Answer 11

Ch. 13.1 - Prob. 1TFQ Ch. 13.1 - Prob. 2TFQ Ch. 13.1 - Prob. 3TFQ Ch. 13.1 - Prob. 4TFQ Ch. 13.1 - Prob. 5TFQ Ch. 13.1 - Prob. 6TFQ Ch. 13.1 - Prob. 7TFQ Ch. 13.1 - Prob. 8TFQ Ch. 13.1 - Prob. 9TFQ Ch. 13.1 - Prob. 10TFQ

To prove: x ( G ) = n yet G does not have K n as sub-graph. Let n ≥ 4 be a natural number. And G be the graph that consist of union of K n − 3 and a 5-cycle C , together with all possible edges between the vertices.

Solution Summary: The author explains that G does not contain K_n as a sub-graph.

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To prove: x(G)=n yet G does not have Kn as sub-graph. Let n≥4 be a natural number. And G be the graph that consist of union of Kn−3 and a 5-cycle C, together with all possible edges between the vertices.

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