Distribution of Full-Time Salaries: Class of 2007 18 16 14 12 10 6. 4 Annual Salary (in Dollars) Percentage of Salaries 2. 10,000 35,000 60,000 85,000 110,000 135,000 000'09 000
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- Prenatal care Results of a 1996 American MedicalAssociation report about the infant mortality rate fortwins carried for the full term of a normal pregnancy areshown on the next page, broken down by the level ofprenatal care the mother had received.a) Is the overall rate the average of the other three rates?Should it be? Explain.b) Do these results indicate that adequate prenatal careis important for pregnant women? Explain.c) Do these results suggest that a woman pregnant withtwins should be wary of seeking too much medicalcare? Explain.Joint distributionSales of a particular product for the years 2017 through 2020 have been 390, 455, 432 and 487 respectively. What sales would you predict for 2021 using a weighted moving average with weights of 0.45 for the immediate preceding year and 0.3, 0.15 and 0.1 for the three years before that?
- Blue Reef makes diving suits in 4 sizes: S, M, L and XL. Its best selling model, the Pufferfish, often commands high demand. However, for the sake of maintaining diversity in the product line, the firm reserves just 7500 units of its production capacity to this model. Based on last year’s experience, management expects that demand for each size this summer will follow a Normal distribution with the characteristics below. Size Mean Std Dev S 1700 600 M 2600 850 L 2100 950 XL 1500 500 How many units of each size of Pufferfish should Blue Reef make? Answer Size Qty S M L XLCorrelation • Between FDI Inflows and ManufacturingEmpty Stomachs. In the publication “How Often Do Fishes ‘Run on Empty’?” (Ecology, Vol. 83, No 8, pp. 2145–2151), D. Arrington et al. examined almost 37,000 fish of 254 species from the waters of Africa, South and Central America, and North America to determine the percentage of fish with empty stomachs. The fish were classified as piscivores (fish-eating), invertivores (invertibrateeating), omnivores (anything-eating) and algivores/detritivores (eating algae and other organic matter). For those fish in African waters, the data on theWeissStats site give the proportions of each species of fish with empty stomachs. At the 1% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean percentages of fish with empty stomachs among the four different types of feeders? a. conduct a one-way ANOVA test on the data. b. interpret your results from part (a). c. decide whether presuming that the assumptions of normal populations and equal…
- Construct a relative frequency marginal distribution. x1 x2 x3 Relative frequency marginal distribution y1 30 25 30 enter your response here y2 30 15 50 enter your response here Relative frequency marginal distribution enter your response here enter your response here enter your response here 1 (Round to three decimal places as needed.)A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 67 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer 0.35 b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average number customersAt noon time, customers arrive at Metrobank counter managed by a single cashier with mean arrival rate of 6 customers per hour. The cashier attends the customers on first come first served basis at 10 customers per hour.What is the waiting time of a customer in the system?
- Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are given in the table below. Assume the distribution to be approximately normal. Do carpeted rooms have more bacteria than uncarpeted rooms? Carpeted Rooms Uncarpeted Rooms 11.7 12.0 8.2 8.3 7.1 3.8 13.1 7.3 10.6 12.0 10.1 11.1 14.8 10.3 14.0 13.7 What is the test statistic for this hypothesis test if group 1 is the carpeted rooms and group 2 is the uncarpeted rooms. 1.43 2.73 0.1831 1.39 0.935Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are given in the table below. Assume the distribution to be approximately normal. Do carpeted rooms have more bacteria than uncarpeted rooms? Carpeted Rooms Uncarpeted Rooms 11.7 12.0 8.2 8.3 7.1 3.8 13.1 7.3 10.6 12.0 10.1 11.1 14.8 10.3 14.0 13.7 What is the critical value(s) for this hypothesis test if group 1 is the carpeted rooms and group 2 is the uncarpeted rooms. 1.895 2.306 2.365 1.833 1.860Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19. Determine the mean and variance of the coating thickness for this process.
