0. In the construction of a certain cost of living Index Number the following group indexnumbers were found.GroupIndex NumberNumberFood35248Fuel and LightingClothing200102308.House Rent16012Miscellaneous19015Given that : EW = 93, E IW = 25506. The cost of living index using weighted A.M is :(A) 274.26(B) 284.26(C) 264.26(D) 294.26.

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Answered: In the construction of a certain cost…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following data is given for Soweto Hospital with regards to the number of patients admitted in the first half of the year ended 30 June 2023 and the total costs incurred by the hospital to treat these patients in this period:MonthNumber of patients admittedTotal costs incurred by the hospital (Rands)January20050 000February20050 000March25055 000April25055 000May30060 000June15045 000Required:Calculate the variable cost per unit and total fixed costs by using the Least Squares (Simple Regression Analysis) method.
A mining company finds that daily lost-work injuries averages to 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?
The Widington College program is considering buying a Scanner machine among 5 (five) types, namely the SC1, SC2, SC3, SC4 and SC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) scanned in one minute. Six staff members conducted an experiment to run each type of scanner. The following data shows the number of scanned pages (sheets) that can be produced in one minute according to the type of copier, 1 trial, and according to the staff assigned to run each type of scanner: SC 1 SC 2 SC 3 SC 4 SC 5 Staff 1 60 50 63 60 64 Staff 2 56 55 65 58 60 Staff 3 54 56 65 56 58 Staff 4 56 57 67 65 60 Staff 5 54 56 65 60 60 Staff 6 55 52 58 60 55 Some of the results of the calculation of the sum of squares (sum-square) and the average squared (mean square) required for the ANOVA test are provided in the following table: Source of Variation SS Df MS F stat F Table Scanner Machine 333.3 ..... ..... ..... ..... Staff .....…
The Widington College program is considering buying a Scanner machine among 5 (five) types, namely the SC1, SC2, SC3, SC4 and SC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) scanned in one minute. Six staff members conducted an experiment to run each type of scanner. The following data shows the number of scanned pages (sheets) that can be produced in one minute according to the type of copier, 1 trial, and according to the staff assigned to run each type of scanner: SC 1 SC 2 SC 3 SC 4 SC 5 Staff 1 60 50 63 60 64 Staff 2 56 55 65 58 60 Staff 3 54 56 65 56 58 Staff 4 56 57 67 65 60 Staff 5 54 56 65 60 60 Staff 6 55 52 58 60 55 Some of the results of the calculation of the sum of squares (sum-square) and the average squared (mean square) required for the ANOVA test are provided in the following table: Source of Variation SS Df MS F stat F Table Scanner Machine 333.3 ..... ..... ..... ..... Staff .....…
The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.*8.7 Suppose an equal number of 12- to 14-year-old girlsbelow and above the poverty level are recruited to studydifferences in calcium intake. How many girls should berecruited to have an 80% chance of detecting a significantdifference using a two-sided test with α = .05?
a) A C-chart is to be constructed for the count of surface defects in 2000 square meters of 40-kg Kraft paper. If 55 lots had a total of 550 defects. Determine the trial central line and control limits.b) An (np) chart is to be established on a painting process that is in statistical control. If 60 pieces are to be inspected every 3 hours and the fraction non-conforming is 0.06, determine the central line and control limits
) Consider the following figures showing the situation of the Australian labourmarket in 2018 (figures are per thousand and in percentage).Employed persons ('000) 12 620.7Unemployed persons ('000) 711.9Unemployment rate (%) 5.4Participation rate (%) 65.6a. What is the labour force participation rate? Briefly checking some online sources is it lower or higherthan in other countries? Try to provide some explanation for the difference.b. Assume that the participation rate in Australia changes to 63%, but the adult population and the numberof employed remain unchanged (hint: if the adult population is not reported, you can calculate it easilyfrom the labour force and participation rate). What would be the labour force, the number ofunemployed, and the unemployment rate?c. Go to the latest LFS by the ABS at: www.abs.gov.au/ausstats/abs@.nsf/mf/6202.0. How does the currentsituation compare with 2018? Spend about 10 minutes going through the website and report at least oneobservation you find…
Suppose we want to estimate the annual high temperatures of the hottest major cities in the United States. Below is data from 12 cities with the average annual temperature taken from 1971 to 2000 City Temperature (Fahrenheit) Phoenix, Arizona 87.2 Miami, Florida 84.3 Orlando, Florida 82.8 Riverside, California 80.9 Austin, Texas 79.8 Houston, Texas 79.7 San Antonio, Texas 80.3 Las Vegas, Nevada 80.1 Jacksonville, Florida 79.3 New Orleans, Louisiana 78.2 Tampa, Florida 81.7 Los Angeles, California 75.2 What's the population for this study? What's the sample for this study?
A mining company finds that daily lost-work injuries average 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?
Q3The following information was recorded in a toy store: Year 2016 Year 2017 Year 2018 Price Quantity Price Quantity Price Quantity Slime 6 50 9 60 10 56 Sticky tact 2 100 2 105 2 120 Stinky egg 4 60 4 50 6 60 Teddy Bear 10 30 11 26 12 24 Tortoise 8 40 11 39 12 36 Q3The following information was recorded in a toy store: (a) By using the above data, compute the Laspeyres Price Index for year 2018 by using year 2016 as base year. (b) Interpret your answer in part (a)). (c) By using the above data, compute the Paasche Price Index for year 2018 by using year 2016 as base year. (d) Which item has experienced the greatest inflation rate from year 2017 to year 2018? (Just state your answer, no calculation is needed in part (d)).
2) . In February 2021, the Chicago Tribune reported:“The overdose epidemic that has ravaged Chicago has not spared the nearby suburbs, some of which have death rates comparable to anything seen in the city, according to a report released this week by the Cook County Department of Public Health. ZIP codes in the towns of Worth, Broadview, Maywood, and Forest Park, areas that “have substantially lower median household incomes and higher poverty rates,” have been especially hard-hit, the report said.”In the article, they claimed that lower incomes were associated with higher overdose death rates and that overdose death rates are increasing over time. The data you have been analyzing wasn’t focused on Chicago, obviously. But do your results support the general gist of the statistical argument being made in this Tribune excerpt? Please address:• Do overdose death rates appear to be associated with per capita income (use scatterplot)?• Do overdose death rates appear to be increasing over…
The following data has been collected on the interarrival times of patients to an emergency department: 3.772, 1.761, 0.743, 15.988, 0.412, 7.541, 6.900, 3.447, 7.024, 1.061, 5.449, 0.309, 0.766, 4.807, 8.143, 0.093, 9.524, 0.012, 4.634, and 0.195 minutes. Estimate the squared coefficient of variation of the arrival process. Is the arrival process likely to be Poisson? Why or why not? Estimate the arrival rate?

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