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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 2Consider the following data set for an office structure built by Anderson Construction Co. The completed building is nine stories. However, construction was interrupted by a fire after 5.3357 floors were completed. At the time of the fire, Anderson had used 54,067 hours of labor to construct the first 5.3357 stories of the building. It then took Anderson an additional 40,750 labor hours to complete this nine-story building. In this problem, FLRCOM is the number of floors completed, and HOURS is cumulative labor hours to complete the number of floors given by FLRCOM. Enter the data for FLRCOM and HOURS in Minitab and use one command to create a variable which is the square of FLRCOM. Call this new variable FLRCOMSQ. Estimate the function: HOURS = a + b(FLRCOM) + c(FLRCOMSQ). Graph this equation. Assume that the fire caused construction to slow down and caused a reduction in efficiency in completing the building. Estimate the number of labor hours needed to complete the building if…Question 1“PhysicalFun” is a physical center which opens 24 hours per day. Each member of “PhysicalFun” has an access card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.) according to the accumulated number of hours of facilities used within a week. The weekly basic charge is $150 with an additional charge of $30 per hour. According to the company record, the number of hours a member spends in “PhysicalFun” in a week is normally distributed with mean 15 hours and standard deviation 2.8 hours.(a) What are the average and standard deviation of weekly charge of a member?(b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1 and L2.(c) The senior management suggests fixing the weekly charge per member at $700. Assume the number of hours a member spends in “PhysicalFun” would not be changed due to the change of the weekly charge calculation method. What proportion of members would pay more money than the…
- The following data were collected in the study described in Problem 1 relating hypertensive status measured at baseline to incident stroke over 5 years. Free of Stroke at 5 Years Stroke Baseline: Not Hypertensive 932 58 Baseline: Hypertensive 254 106 Compute the incidence of stroke in this study, overall. 0.294 0.121 0.059 0.879The problem is on the first image attached, and the second image is the data to go with it.A covariance of 0.01 between data set A and data set B indicates: A strong tendency for B to increase when A increases A weak relationship between A and B A strong tendency for B to decrease when A increases Not enough information to say
- A Hospital allocates much of the budget in preparation for the top two seasonal diseases in the locality. Based on their records the frequencies of seasonal disease occurring in the locality are given in the following table: DISEASE A. 25% DISEASE B. 50% OTHERS. 25% Of 100 current patients in the hospital, 36 suffered with the disease A, 47 suffer with Disease B, and 17 suffer with other seasonal diseases. The hospital wants to know if their budget is sufficient by checking whether the above frequencies fit the data from their records. Analyze the problem using chi-square test at 0.05 significance level.Question 4a. A large accountancy firm finds that over the long run 10% of its statements for clients are in error in some way. A quality assurance officer at the firm investigating the source of the errors takes a sample of 20 statements produced by a single employee and classifies each as being “in error” or “not in error”.i. If the variable X is used to represent the number of statements in the sample that are in error, and assuming the error rate is the firm’s level of 10% then state:• the type of distribution this variable has; and• the parameter/s of this distribution. ii. Determine the probability that 2 or less returns in this sample are in error. The quality assurance officer found that there were 5 statements in the sample that were in error.iii. Determine the probability of finding 5 or more returns in error if indeed the error rate was 10%. iv. Based upon your answer for part iii., what conclusion might the quality assurance office make about this employee in terms of the…Question 12** The following table lists the approximate number of adults (18+) who are obese (BMI ≥ 25) in North America in 2014 by country and gender. Female Obese Male Obese Female Not Obese Male Not Obese Canada 11 M 12 M 7 M 6 M Mexico 40 M 37 M 21 M 22 M U.S.A. 101 M 113 M 61 M 44 M (adapted from http://apps.who.int/gho/data/node.main.A897A?lang=en) Based on this data, what is the probability that a randomly selected male in North America will be obese? Answer in decimal form. Round to 3 decimal places as needed. Your Answer:
- Here is the data and scenario for the above questions: An ornithologist is studying the role of color in flower selection for a particular species of hummingbird. He places 3 lilac bushes with similar size, flower yield, and scent profile near a known hummingbird habitat--one with white flowers, one with pink flowers, and one with purple flowers. He then uses surveillance cameras to count hummingbird visits to each of the 3 bushes for 30 days. The daily visit count data for each lilac color bush is summarized below: White Pink Purple Mean: 17.2 17.8 18.5 S.Dev: 1.9 1.4 2.6 (Hint for calculations: What is n here, and why? What are the actual data sets corresponding to each mean?) What does the ornithologist conclude? Do you have a recommendation for further study?Question 4 a The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. Assuch, he is interested in investigating the association between the age of the respondents and theirknowledge level. Table 2 below shows the knowledge level of respondents, by age group.Table 2Age Group Knowledge Level TotalPoor Satisfactory Good18 - 25 33 16 13 6226 - 34 30 18 12 6035 - 44 29 14 12 5545 - 54 36 16 18 7055 - 75 17 14 22 53Total 145 78 77 300 Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence to conclude that an association exists between age group and knowledge level. (i) State the hypotheses to be tested:H0:H1: Calculate:(ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, x2, is 11.029. (iv) state the conclusion for the test. Give reason for your answer.QUESTION 4(a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. Assuch, he is interested in investigating the association between the age of the respondents and theirknowledge level. Table 2 below shows the knowledge level of respondents, by age group.Table 2Age Group Knowledge Level TotalPoor Satisfactory Good18 - 25 33 16 13 6226 - 34 30 18 12 6035 - 44 29 14 12 5545 - 54 36 16 18 7055 - 75 17 14 22 53Total 145 78 77 300Conduct a test, at the 5% level of significance, to determine whether the data provided sufficientevidence to conclude that an association exists between age group and knowledge level.(i) State the hypotheses to be tested:H0:H1: Calculate:(ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, 2, is 11.029.(iv) state the conclusion for the test. Give reason for your answer.