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- The annual energy consumption in billions of Btu for both natural gas and coal is shown for a random selection of states. 4. If 500 billion Btu of natural gas is used then what is the projected amount of coal that is used? The projected amount of coal that is used is _______billion Btu. (Round answer to THREE decimal places)One of the issues facing organizations is increasing diversity throughout an organization. One of the ways to evaluate an organi- zation's success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical center determined that 9 of 17 employees in a particular position were female, whereas 55% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from would be expected in the general workforce?A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with multivitamin 3.2 , 7.3 , 8.4 , 6.1 , 2.5 , 6.7 , 6.3 , 3.7 , 7.0 , 7.7 , 9.1 , 9.9 , 9.0 , 2.6 , 2.0 , 5.1 , 5.7 , 2.5 , 2.9 , 4.5 Treated with vitamin C 2.7 , 5.3 , 3.7 , 5.5 , 4.5 , 3.8 , 7.6 , 5.3 , 3.6 , 5.2 , 2.3 , 4.7 , 3.6 , 5.2 , 2.3 , 7.1 , 3.3 , 6.1 , 7.9 , 4.2 Send data to…
- a population contains ten members. The total number of samples of size that can be drawn (without replacement) from this population is:The jobs to be performed on a particular machine arrive according to a Poisson input process with a mean rate of two per hour. Suppose that the machine breaks down and will require 1 hour to be repaired. What is the probability that the number of new jobs that will arrive during this time is: ZERO TWO FIVE OR MORE 2. Consider a queuing system with a Poisson input and exponential service times. Suppose there is one server and the expected service time is exactly one minute. Compare Ls for the cases where the mean arrival rate is 0.5, 0.9 and 0.99 customers per minute, respectively. Do the same for Lq, Ws, Wq and P(W>5) or the probability of waiting time in the system.A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 15 volunteers were given tablets only containing 4 grams of vitamin C. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment the following data are obtained: Days to recover from cold Treated with multivitamin 8.1, 6.7, 7.2, 6.1, 7.5, 6.2, 6.8, 3.4, 7.4, 5.2, 4.3, 5.6, 4.4, 6.3, 3 Treated with Vitamin C 6, 5.6, 1.5, 4.2, 3.1, 4.7, 4.3, 2.7, 5, 4.7, 6.9, 2.5, 3.1, 3.8, 4.1 Send datato Excel It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days…
- a. Determine the net weight of most of the sample. b. Determine the maximum net weight of the 20% of the sample that has the minimum net weight.An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Pairwise Comparison Test 1 Given the hypotheses: H0:μ1=μ4 ; Ha:μ1≠μ4 Compute for the Tukey's q-statistic. Round off to the nearest hundredths: _________________ Given the hypotheses: H0:μ1=μ4; Ha:μ1≠μ4 What is the appropriate conclusion based on the computed q-statistic?…An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Pairwise Comparison Test 1 Given the hypotheses: H0:μ1=μ4 ; Ha:μ1≠μ4 Compute for the Tukey's q-statistic. Round off to the nearest hundredths: _________________ Given the hypotheses: H0:μ1=μ4; Ha:μ1≠μ4 What is the appropriate conclusion based on the computed q-statistic?…
- An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Pairwise Comparison Test 1 Given the hypotheses: H0:μ1=μ2 ; Ha:μ1≠μ2 Compute for the Tukey's q-statistic. Round off to the nearest hundredths: Pairwise Comparison Test 2 Given the hypotheses: H0:μ1=μ3 ; Ha:μ1≠μ3 Compute for the Tukey's q-statistic. Round off to the nearest hundredths:An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 1. What is the null and alternative hypothesis? 2. In the decision rule: Reject H0 if Fc>F0.10,(A,B)=C .Otherwise, fail to reject H0. What is the value for df for treatments, A? What is the value for df for error, B? What is the critical value, C? 3. Decision for the ANOVA…An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Suppose it makes sense to conduct a post-hoc analysis. We will use Tukey's test to make pairwise comparisons between means. The decision rule for Tukey's test would be as follows: "Reject H0 if |qc|>q0.10,K,L=M . Otherwise, fail to reject H0." 1. What is the value for the number of…