PROBABILITY AND STATISTICS FOR ENGINEER
PROBABILITY AND STATISTICS FOR ENGINEER
9th Edition
ISBN: 2818000048605
Author: WALPOLE
Publisher: PEARSON
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Chapter 15.3, Problem 12E
To determine

Comment on the Orthogonality among the main effects and interaction effects.

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A horse trainer teaches horses to jump by using two methods of instruction. Horses being taught by method A have a lead horse that accompanies each jump. Horses being taught by method B have no lead horse. The table shows the number of training sessions required before each horse performed the jumps properly.  Method A 25 23 39 29 37 20 Method B 41 21 46 42 24 44 ​ Method A 45 35 27 31 34 49 Method B 26 43 47 32 40   ​ Use a rank-sum test with a5% level of significance to test the claim that there is no difference between the training sessions distributions. If the value of the sample test statistic R, the rank-sum, is 150, calculate the P-value. Round your answer to four decimal places.
A data processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor. After a year of sales, the same class of trainees is again ranked by a company supervisor according to net value of the contracts they have acquired for the company. The results for a random sample of 11 salespeople trained in the last year follow, where x is rank in training class and y is rank in sales after 1 year. Lower ranks mean higher standing in class and higher net sales.  Person 1 2 3 4 5 6 x rank 8 11 2 4 5 3 y rank 7 10 1 3 2 4 ​ Person 7 8 9 10 11 x rank 7 9 10 1 6 y rank 8 11 9 6 5 ​ Using a 1% level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing). Verify that the Spearman rank correlation coefficient . This implies that the P-value lies between 0.002 and 0.01. State…
Sand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded.  34.4 27.1 30.8 28.0 32.2 27.6 ​ 32.8 25.2 31.4 33.5 24.7 28.4 ​ Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives ABABABABAABB. Test the sequence for randomness about the median with a 5% level of significance. Verify that the number of runs is 10. What is the upper critical value c2?  ​
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