PLS PROVIDE SOLUTIONSSUBJECT : STATISTICS 1. Calcium is the most abundant mineral in the human body and has severalimportant functions. Most body calcium is stored in the bones and teeth, where itfunctions to support their structure. Recommendations for calcium are providedin Dietary Reference Intakes, developed by the Institute of Medicine of theNational Academy of Sciences. The recommended adequate intake (RAI) ofcalcium for adults (ages 19-50 years) is 1000 milligrams (mg) per day. Supposethat we want to perform a hypothesis test to decide whether the average adultwith an income below the poverty level gets less than the RAI of 1000 mg.a. Determine the null hypothesis for the hypothesis test.b. Determine the alternative hypothesis for the hypothesis test.c. Classify the hypothesis test as two tailed, left tailed, or right tailed.

Null and alternative hypotheses: The hypothesis, which is pre assumed as true, tentatively settled…

Answered: Calcium is the most abundant mineral in…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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2. Suppose that in Example 2.27, 400 units of food A, 500 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 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1
A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.
The MPS for product A calls for 100 units to be completed in week 4 and 200 units in week 7 (the lead time is one week). Spare part demand for Item B is 10 units per week. Item B: Lot sizing rule: FOQ=500 Lead time (wks): 2 Beginning (on-hand) inventory: 100 Scheduled receipts: none Item C: Lot sizing rule: LFL Lead time (wks): 3 Beginning (on-hand) inventory: 10 Scheduled receipts: 200 (week 2) Develop a material requirement plan for the next 7 weeks for items B and C. What would be the impact of a scheduled receipt of 200 units for item B in week 2 (and all other data remained the same) on your calculated planned order receipts and releases?
Assuming an M/M/1 system setup with a service rate of 25 entities per hour and an idling ratioof 4% Define the system’s birth rate. Define at least two ways of arriving at the number of entities in the system. Define the ratio of the time an entity spends waiting and the time the entity spends in thesystem?
Establish the table of information and formulate the LP Model of the following. Riana needs at least 40 units of protein, 60 units of carbohydrates, and 50 units of fat each month. From each kilogram of food A, she receives 2 of protein, 4 of carbohydrates, and 5 units of fat. Food B contains 3 units of protein, 3 units of protein, 3 units of carbohydrates, and 2 units of fat per kilogram. If food A cost P110 and food B costs P90 per kilogram. How many kilograms of each food should Sofia buy each month to keep costs at a minimum?
The Boeing Company faces a critical strategic choice in its competition with Airbus Industries for the long-haul flight segment: Should it design and build a super-747 model that can carry 550 passengers at speeds around 350 mph, or a plane that can fly at 95 percent of the speed of sound but carry only about 350 passengers? As a member of Boeing's Planning Group, your task is to build a model to investigate the trade-offs involved in this decision.
11.18 The extent of disease transmission can be affected greatly by the viability of infectiousorganisms suspended in the air. Because of the infectious nature of the disease under study,the viability of these organisms must be studied in an airtight chamber. One way to do this is todisperse an aerosol cloud, prepared from a solution containing the organisms,into the chamber.The biological recovery at any particular time is the percentageof the total number of organismssuspended in the aerosol that are viable. The data in the accompanying table are the biologicalrecovery percentages computed from 13 different aerosol clouds. For each of the clouds, recoverypercentages were determinedat different times.a. Plot the data.b. Since there is some curvature, try to linearize the data using the log of thebiologicalrecovery.Cloud Time, x (in minutes) Biological Recovery (%)1 0 70.62 5 52.03 10 33.44 15 22.05 20 18.36 25 15.17 30 13.08 35 10.09 40 9.110 45 8.311 50 7 .912 55 7 .713 60 7 .7
Summary: A car part manufacturing company currently produce a suspension assembly for Toyota Motor Corporation. Figure 1 shows the breakdown structure of the suspension assembly and Figure 2 shows the final assembly and how to fit into a car. Table 1 shows the name of components, part numbers and number of components in each suspension assembly. Table 1. Part lists for Suspension Assembly Number in Figure 1 Part number Part name Amount per assembly 1 PA-T15-001 Shock absorber unit 1 2 PA-T15-002 Lower insulator 1 3 PA-T15-003 Spring bumper 1 4 PA-T15-004 Coil spring 1 5 PA-T15-005 Upper insulator 1 6 PA-T15-006 Spring upper seat 1 7 PA-T15-007 Bushing 1 8 PA-T15-008 Suspension Support 1 9 PA-T15-009 Washer 1 10 PA-T15-010 Stop nut 1 11 GE-001 Bolt 2 12 GE-002 Nut 5 As you can notice from the part…
Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.5% of the capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston’s defective rate to be 10%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 75,000 acceptable-quality capacitors to use…
The Lechería La Vaquita company currently has three-star products, but it faces a problem of capacity to satisfy the demand for these products. In total, it has 65,000 machine hours per month for the production of these three products. The production time to produce a batch of 1000 liters each product, as well as its monthly demands are shown in the following table: * TABLE * Because in recent months there have been advertising campaigns for Leche Choco-Chavo and Leche Chavo Light, the company wants the demands for these products to be the first to be satisfied with the same level of importance, while Leche Chavo as it is a product already well positioned, it is the third priority of these products. Formulate the goal programming mathematical model for this problem by clearly defining the sets, constraint variables, parameters, objective function (s), and constraints.
It is known that in any given year, • 90% of the people in a city move to the suburbs; • 80% of the people in the suburbs do not move to the city. Given an initial city population of 55,000 and an initial suburb population of 77,000, what are the long-term population levels of the city and the suburb?
U.S. Manufactured General Aviation Shipments, 2009–2015 Year Qtr 1 Qtr 2 Qtr 3 Qtr 4 Total 2009 332 407 380 470 1,589 2010 240 368 281 426 1,315 2011 263 295 270 465 1,293 2012 305 365 343 518 1,531 2013 332 406 352 507 1,597 2014 343 366 368 521 1,598 2015 285 354 363 536 1,538 Use MegaStat or Minitab to calculate estimated seasonal indexes and trend. (Round your answers to 3 decimal places.) Qtr1Index Qtr2Index Qtr3Index Qtr4Index

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