c) If only 50 employees are needed to participate, how many should be taken from each department using proportional allocation? Write your answer on the table above.
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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?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.In January 2019, daily sales in pesos of Triple A and V enterprises, for the first 10 days are as follows. Php 3,286.20, Php 2,831.50, Php 6,280.00, Php 526.50, Php 5,867.30, Php 4, 345.00, Php 5, 261.00, Php 4,265.50, Php 7,820.00, Php 4,625.00, Php 8,625.00, Php 2,348.50. Find the following: d. 5th decile e. 25th percentile f. 50th percentile
- In January 2019, daily sales in pesos of Triple A and V enterprises, for the first 10 days are as follows. Php 3,286.20, Php 2,831.50, Php 6,280.00, Php 526.50, Php 5,867.30, Php 4, 345.00, Php 5, 261.00, Php 4,265.50, Php 7,820.00, Php 4,625.00, Php 8,625.00, Php 2,348.50. Find the following: a. 1st quartile b. 2nd quartile c. 3rd quartile d. 5th decile e. 25th percentile f. 50th percentileA company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% during the current year. In addition, it estimates that 15% of employees who had lost-timeaccidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years?b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?An insurance company offers four different deductible levels-none,low, medium, and high-for its homeowner's policyholders and threedifferent levels-low, medium, and high-for its automobilepolicyholders. The accompanying table gives proportions for the variouscategories of policyholders who have both types of insurance. Forexample, the proportion of individuals with both low homeowner'sdeductible and low auto deductible is .06 (6% of all such individuals). Homeowner's Auto N L M H LMH .04.07.02 .06.10.03 .05.20.15 .03.10.15 Suppose an individual having both types of policies is randomlyselected.a. What is the probability that the individual has a medium auto deductible and a high homeowner's deductible?b. What is the probability that the individual has a low autodeductible? A low homeowner's deductible?c. What is the probability that the individual is in the samecategory for both auto and homeowner's deductibles?d. Based on your answer in part (c), what is the probability…
- The University of the East Europe is interested in the overall performance of its students in the academic year 2020/2021. There were 1460 students registered for this academic year. The University decides to select a sample of 150 students from each of the 5 faculties- Science, Medicine, Law, Social Science and Humanities in proportion to the number of students in each faculty. iv). If the medical faculty has 584 students registered, calculate how many medical students would be part of the sample of 150.Suppose a marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions.A biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match the strategies to their corresponding sampling techniques. The biologist goes to 15 diverse locations that have 10 acres each and surveys all 10 acres for each of these 15 locations. The biologist goes to his 150 favorite hiking places and looks at an acres along each trail. The biologist classifies the Sierras into 10 different ecological types and then makes sure that the proportion of each ecological type from the sample is the same as the proportion of that of the population. The biologist enters the 15 million acres into a data base and had a computer randomly select 150 of these acres. The biologist orders the 15 million acres by latitude and then surveys every 100000th acre on the list. Convenience Sampling Cluster Sampling Systematic Sampling Stratified Sampling Simple Random Sampling Match the Vocab with the bullet…
- A local gas station has developed a new lottery scratch card in which they want 20% of contestants to win a small prize, 5% of contestants to win a medium prize, and 1% of contestants to win a large prize. If the scratch card costs buyers $5, determine how much each prize should award if the store wishes to make a long-run average of $1 for each scratch card sold.In a sample of 1702 companies from year 2000, there are 1253 companies that pay a stock dividend to its shareholders, there are 878 companies that pay their CEO’s over $1 million in total compensation, and there are 673 firms that pay a dividend and pay their CEO’s over $1 million in total compensations. The following table describes this joint distribution. Dividend Not Dividend Total Over $1 Million 673 205 878 Not over $1 million 580 244 824 Total 1253 449 1702 When testing the hypothesis (using the 1% level of significance) that the compensation of the CEO and whether the company pays a dividend are independent, what is the critical value? (please round your answer to 3 decimal places).In a sample of 1702 companies from year 2000, there are 1253 companies that pay a stock dividend to its shareholders, there are 878 companies that pay their CEO’s over $1 million in total compensation, and there are 673 firms that pay a dividend and pay their CEO’s over $1 million in total compensations. The following table describes this joint distribution. Dividend Not Dividend Total Over $1 Million 673 205 878 Not over $1 million 580 244 824 Total 1253 449 1702 When testing the hypothesis (using the 5% level of significance) that the compensation of the CEO and whether the company pays a dividend are independent, if the p-value .003 what would you conclude concerning the null hypothesis? reject the null hypothesis that the variables are independent fail to reject the null hypothesis that the variables are independent
