The reservation office for Central Airlines has two agents answering incoming phone calls for flight reservations. assume that there are infinitely many hold lines, and a caller will always wait until get served. If all three phone lines (both agent lines and the hold line) are busy, a potential customer gets a busy signal, in which case the call may go to another airline. The calls and atempted calls occur randomly (i.e., according to a Poisson process) at a mean rate of 15 per hour. The length of a telephone conversa@on has an exponential distribution with a mean of 4 minutes (a) Construct the rate diagram for this queueing system. (b) The administration has a number of criteria: (1) the average number of callers waiting to be served should not exceed 1, (2) for at least 95 percent of the time, the actual number of callers waiting should not exceed 1, (3) for 99 percent of the callers, the amount of time spent on hold should not exceed 30 minutes. Express each criterion as a math expression. Then use the Excel template to evaluate how well these criteria are being satisfied. Do not use the Excel template.

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 19 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? 0.01   What is the value of the sample test statistic? (Round your answer to two decimal places.) ?? (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)???

A random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. I need help with sketching, (d) and (e)

An organizational psychologist wants to know if workers' health would be affected if a company gave them extra days off. All workers take a standard physical exam twice a year and are given an overall health rating with higher scores indicating better health. The psychologist selected seven workers at random, arranged to have them receive an additional 2 days off every month over the period between health exams, and then compared the health scores on the two exams. Do the scores in the table below support the notion that having extra days off affects health? Carry out a t test for dependent means (using the .01 significance level). What should the researcher conclude? a.) Use the five steps of hypothesis testing. Label all the steps clearly. Show ALL work/calculations. b.) Report the statistic in APA format (the statistical sentence). Workers' Health Ratings Before and After Extra Days Off Participant Before After A 3 3 6 6. 17 F 4

2. Suppose the defective rate at a particular factory is 1%. Suppose 50 parts were selected from the daily output of parts. Let X denote the number of defective parts in the sample. a) Find the probability that the sample contains exactly 2 defective parts. b) Use Poisson approximation to find the probability that the sample contains exactly 2 defective parts. c) Find the probability that the sample contains at most 1 defective part. d) Use Poisson approximation to find the probability that the sample contains at most 1defective part.

The National Football League (NFL) holds its annual draft of the nation's best college football players in April each year. Prior to the draft, various sporting news services project the players who will be drafted along with the order in which each will be selected in what are called mock drafts. Players who are considered to have superior potential as professional football players are selected earlier in the draft. Suppose the following table shows projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastern Conference will be selected. ACC Big Ten PAC-12 SEC CollegeAttended ProjectedDraftPosition CollegeAttended ProjectedDraftPosition CollegeAttended ProjectedDraftPosition CollegeAttended ProjectedDraftPosition Florida State 4 Iowa 7 USC 2 Florida 1 Clemson 5 Michigan St 10 Oregon 9 Alabama 3 Miami 6 Nebraska 12 Oregon 15 Kentucky 8 Georgia Tech…

Table of Critical t-Values 12345678910 112151671912092980 Degrees of Freedom 0.25 13 14 23 24 32 33 2 t-Distribution Area in Right Tail 0.20 0.15 0.05 0.025 0.02 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1.061 1.386 1.886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1.476 2.015 2.571 2.757 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 0.703 0.883 1.100 1.383 1.833 2.398 2.821 1.093 1.372 2.262 3.250 1.812 2.228 2.359 3.169 0.700. 0.879 0.876 2.764 2.328 2.718 0.697 1.796 2.201 0.695 0.873 2.179 2.303 2.681 0.694 0.870 1.088 1.363 1.083 1.356 1.782 1.079 1.350 1.771 2.160 2.282 2.650 1.076 1.345 1.761 2.145 2.264 2.624 1.074 1.753 1.337 1.746 1.333 1.740 2.110 1.330 1.734 2.101 1.328 1.729 1.341 2.131 2.249 1.067 1.066 1.064 1.325 1.725 2.567 2.898 2.552 2.878 2.539 2.861 2.528 2.845 2.093…

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 22 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.