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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2Customer Preference Two movie theatres that show several different movies each night compete for the same audience. Of the people who attend theatre A one night, 10 will attend again the next night and 5 will attend Theatre B the next night. Of the people who attend Theatre B one night, 8 will attend again the next night and 6 will attend Theatre A the next night. Of the people who attend neither theatre one night, 3 will attend Theatre A the next night and 4 will attend Theatre B the next night. Find and interpret the steady state matrix for this situation.SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.
- A producer of pocket calculators purchases the main processor chips in lots of1,000. The producer would like to have a 1 percent rate of defectives but willnormally not refuse a lot unless it has 4 percent or more defectives. Samples of50 are drawn from each lot, and the lot is rejected if more than two defectives arefound.a. What are p0, p1, n, and c for this problem?At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following: (i) 31% of all Dalmatians have blue eyes. (ii) 38% of all Dalmatians are deaf. (iii) 42% of blue-eyed Dalmatians are deaf. Based on the results of this study is "having blue eyes" independent of "being deaf"? No, since .31 * .38 is not equal to .42. No, since .38 is not equal to .42. No, since .31 is not equal to .42. Yes, since .31 * .38 is not equal to .42. Yes, since .38 is not equal to .42. Submit QuestionQuestion 13
- A company that operated 10 hours a daymanufactures two products on threesequential processes. The following tablesummarizes the data for the problem:2. Suppose we want to test whether Canadiansand American viewers have the same reaction to acertain documentary film. A random sample of 6Canadians and 7 American viewers werecollected. Each are asked to watch and then ratethe film, from 1 (most negatively), to 10 (mostpositively). The data are shown on theaccompanying table:Canadians 2 10 1 4 6 1Americans 4 7 7 5 5 3 8a. Explain why we cannot test for the equality of means. That is, we cannot test Ho: Average rating among Canadians is equal to average rating among Americans. b. Use Wilcoxon Rank Sum procedure to test whether Canadians and Americans tend to rate the film similarly. Include the test statistic. State your conclusion in the context of the problem. Use the 10% significance level. c. Use Normal distribution to approximate the p-value. Would you recommend using it to carry out the test instead of the table?A supervisor of a manufacturing plant is interested in relating the average number of defects produced per day to two factors: the operator working the machine and the machine itself. The supervisor randomly assigns each operator to use each machine for three days and records the number of defects produced per day. Is there sufficient evidence to conclude that there is a significant difference among the average number of defects produced per day for the different operators? Number of Defects Produced per Day Operator A Operator B Machine A 99 55 00 33 66 44 99 44 Machine B 00 99 11 66 33 99 11 66 Machine C 33 33 99 55 11 66 77 99 ANOVA Source of Variation SSSS dfdf MSMS Machine 4.08334.0833 22 2.04172.0417 Operator 16.666716.6667 11 16.666716.6667 Interaction 70.583370.5833 22 35.291735.2917 Within 128.5000128.5000 1818 7.13897.1389 Total 219.8333219.8333 2323 Step 2 of 2 : Make the decision to reject or fail to…
- Workers in Company XYZ used 200 computers for their daily operation. In that company, the computers are categorized into type A and B. The workers usually complained that they experience performance problems with the computers more than once per week. Based on a survey, the company found that fifty of the Type A computers will encounter problems more than once per week. Meanwhile seventy-five of the Type B computers do not experience problems more than once per week. There are 120 Type B computers in the company. Based on the above scenario determined whether the events “Type A computer” and “experience problems more than once per week” are independent event? Explain.37. The small mail-order firm Sea’s Beginning has onephone line. An average of 60 people per hour call inorders, and it takes an average of one minute to handlea call. Time between calls and time to handle calls areexponentially distributed. If the phone line is busy, Sea’sBeginning can put up to c 2 1 people on hold. If c 2 1people are on hold, a caller gets a busy signal and calls acompetitor. Sea’s Beginning wants only 1% of all callersto get a busy signal. How many people should it be ableto put on hold, that is, what is the required value of c?Lost on the last three subplots
