Consider a cluster of three cells. The traffic offered to each individual cell is, 40 Erlangs, 50 Erlangs, and 80 Erlangs, respectively. With fixed uniform channel allocation and designated blocking probability of 0.01, what is the total number of channel needed in this cluster?
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- A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6 7 8 Process 1 64 65 32 76 76 90 75 71 Process 2 62 73 9 61 53 93 77 77 52 Difference 2 -8 23 15 23 (Process 1 - Process 2) 33 -3 -2 19 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding Hd (which is μ with a letter "d" subscript), the population mean difference in assembly times for the two processes.…A large retail lawn care dealer currently provides a 2-year warranty on all lawn mowers sold at its stores. A new employee suggested that the dealer could save money by just not offering the warranty. To evaluate this suggestion, the dealer randomly decides whether or not to offer the warranty to the next 50 customers who enter the store and express an interest in purchasing a lawnmower. Out of the 25 customers offered the warranty, 10 purchased a mower as compared to 4 of 25 not offered the warranty. a. Place a 95% confidence interval on 7₁ - 72, the difference in the proportions of customers purchasing lawnmowers with and without the warranty. b. Test the research hypothesis that offering the warranty will increase the propor- tion of customers who will purchase a mower. Use a = .05. c. Are the conditions for using a large-sample test to answer the question in part (b) satisfied? If not, apply an exact procedure,To study the security protocols at a major airport, ten passengers were randomly selected from each flight leaving the airport on a particular day and questioned about the security efforts they experienced while at the airport. This is an example of
- The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.If 30 participants each completed a memory task three times — once each after having no, moderate, or high levels of caffeine, calculate the total degrees of freedom.After an earthquake, 32 homes in a remote area were checked by public safety officers before nightfall. They found that 22 of the houses had no gas, including 10 houses whose own gas lines were damaged. (A house loses its gas service if it has damage to its own line or if there is damage to the feeder line.) Of those houses that lost their gas, only 4 did not lose their electricity. Twenty-four houses in all had no electricity, the same number of them lost only their electricity as those that both lost electricity and had damage to their gas lines. How many of the houses checked did not lose either gas or electricity, and how many lost only their gas service! Students, draw anywhere on this slide!
- A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.Hydroxychloroquine is a drug sometimes used to treat malaria or rheumatoid arthritis. This drug has recently received some notoriety as a possible treatment for those suffering from Covid-19. A hydroxychloroquine tablet comes in a 200 mg strength, but hydroxychloroquine dosage may be anywhere from 200 to 1200 mg. Thus, a patient must take multiple pills. Suppose X is the number of pills taken by a randomly selected hydroxychloroquine patient. Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x). 1 2 4 p(x) .04 .27 .35 .10 07 F(x) .04 .31 a .83 .93 1 a. If F is the cumulative distribution function of x, then what is the value of a? b. If p is the probability mass function for x, then evaluate b. c. What is the expected value of x? d. Calculate the variance of x. e. What is the variance of 0.7*x? f. The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that exactly 4 of the…A researcher conducted a study to determine whether a new type of phys- ical therapy would help people recovering from knee injuries. The study included 10 patients, and 5 physical therapists. The researcher decided to conduct the experiment using a matched pairs design, as follows: Two patients were (randomly) assigned to each physical therapist. Then, one of the two patients was randomly chosen to receive the new treatment, while the other received the old treatment. After one week, the researcher measured each patient’s improvement in range of motion (ROM), in degrees (◦). (a) Describe the benefit of conducting a matched pairs experiment in this way. (b) The table/image attached to this question shows the data obtained from this experiment: By hand, carry out a t-test to see if the mean difference in ROM improvements between the two treatments (New minus Old) is greater than zero.