Solution_Manual_for_Applied_Statistics_chapter 2 testbank 2024

Provide a reasonable description of the sample space for each of the random experiments in Exercises 2-1 to 2-17. There can be more than one acceptable interpretation of each experiment. Describe any assumptions you make. 2-1. Each of three machined parts is classified as either above or below the target specification for the part. Let a and b denote a part above and below the specification, respectively. S  aaa , aab , aba , abb , baa , bab , bba , bbb   2-2. Each of four transmitted bits is classified as either in error or not in error. Let e and o denote a bit in error and not in error (o denotes okay), respectively. eeee eeeo , , eoee eoeo , , oeee oeeo , , ooee ooeo ,,  S   eeoe , eooe , oeoe , oooe , eeoo , eooo , oeoo , oooo   2-3. In the final inspection of electronic power supplies, either units pass, or three types of nonconformities might occur: functional, minor, or cosmetic. Three units are inspected. Let a denote an acceptable power supply. Let f, m, and c denote a power supply that has a functional, minor, or cosmetic error, respectively. S  a , f , m , c  2-4. The number of hits (views) is recorded at a high-volume Web site in a day. S  0,1,2,... = set of nonnegative integers 2-5. Each of 24 Web sites is classified as containing or not containing banner ads. Let y and n denote a web site that contains and does not contain banner ads. The sample space is the set of all possible sequences of y and n of length 24. An example outcome in the sample space is S  yynnynyyyn nynynnnnyy nnyy   2-6. An ammeter that displays three digits is used to measure current in milliamperes. A vector with three components can describe the three digits of the ammeter. Each digit can be 0,1,2,...,9. The sample space S is 1000 possible three digit integers, S  000 ,001 ,..., 999   2-7. A scale that displays two decimal places is used to measure material feeds in a chemical plant in tons. S is the sample space of 100 possible two digit integers. 2-8. The following two questions appear on an employee survey questionnaire. Each answer is chosen from the five point scale 1 (never), 2, 3, 4, 5 (always). Is the corporation willing to listen to and fairly evaluate new ideas? How often are my coworkers important in my overall job performance? Let an ordered pair of numbers, such as 43 denote the response on the first and second question. Then, S consists of the 25 ordered pairs 1 1,12, . . . ,55 2-9. The concentration of ozone to the nearest part per billion. S  0 ,1,2,...,1E 09  in ppb. 2-10. The time until a service transaction is requested of a computer to the nearest millisecond. S  0 ,1,2 ,...,  in milliseconds 2-11. The pH reading of a water sample to the nearest tenth of a unit. S  1 .0 ,1 .1,1 .2 ,  14 .0  2-12. The voids in a ferrite slab are classified as small, medium, or large. The number of voids in each category is measured by an optical inspection of a sample. Let s, m, and l denote small, medium, and large, respectively. Then S = {s, m, l, ss, sm, sl, ….} 2-13 The time of a chemical reaction is recorded to the nearest millisecond. S  0 ,1,2 ,...,  in milliseconds. 2-14. An order for an automobile can specify either an automatic or a standard transmission, either with or without air conditioning, and with any one of the four colors red, blue, black, or white. Describe the set of possible orders for this experiment.