Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters. If the length of the pool in her drawing is 15 centimeters, what is the length of the actual pool? O A. 50 m о в. 30 m о С. 4.5 m O D. 150 m
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 124 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, H0, and the alternative hypothesis, H1. A. H0: π≥0.20 H1: π<0.20 B. H0: π≠0.20 H1: π=0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π=0.20 H1: π≠0.20 What is the test statistic? ZSTAT=enter your response…At a hydrocarbon processing factory, process control involves periodic analysis of samples for a certain process quality parameter. The analytic procedure currently used is costly and time consuming. A faster and more economical alternative procedure has been proposed. However, the numbers for the quality parameter given by the alternative procedure are somewhat different from those given by the current procedure, not because of any inherent errors but because of changes in the nature of the chemical analysis.Management believes that if the numbers from the new procedure can be used to forecast reliably the corresponding numbers from the current procedure, switching to the new procedure would be reasonable and cost effective. The following data were obtained for the quality parameter by analyzing samples using both procedures: Current (Y ) Proposed (X ) Current (Y ) Proposed (X ) 3.0 3.1 3.0 3.6 3.8 2.7 2.7 3.1 3.9 3.4 4.0 3.6 3.6 3.6 3.1 2.7 3.3 3.2 2.1 3.0 2.6 3.1 2.9…A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 600 subscribers. The results indicate that 131 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.01 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, H0, and the alternative hypothesis, H1. A. H0: π=0.20 H1: π≠0.20 B. H0: π≥0.20 H1: π<0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π≠0.20 H1: π=
- only define the parameter and write the null and alternative hypotheses The production line for Glow toothpaste is designed to fill tubes with a mean weight of 6 oz.Periodically, a sample of 35 tubes will be selected in order to check the filling process. Qualityassurance procedures call for the continuation of the filling weight for the population of toothpastetubes is 6 ounces; otherwise the processes will be adjusted. Suppose a sample of 35 toothpaste tubesprovides a sample mean of 6.1 oz and standard deviation of 0.2 oz. State the parameter and both hypotheses to help determine whether the filling process should continue operating or be stopped and corrected.The survival curve below was constructed from a study that followed 7 individuals being treated with prednisone for inflammatory conditions over a period of 8 months. Assuming the event described is the point in time the individuals developed prednisone-induced hypertension and those individuals who made it to 8 months concluded the study without prednisone-induced hypertension, calculate and interpret the proportion of individuals who suffered from prednisone-induced hypertension at the end of the study. A) 14.3% of individuals in the study did not develop prednisone-induced hypertension. B) 14.3% of individuals in the study did not develop prednisone-induced hypertension during the time frame in which the study was being conducted. C) 85.7% of individuals in the study did not develop prednisone-induced hypertension. D) 85.7% of individuals in the study did not develop prednisone-induced hypertension during the time frame in which the study was being conducted.Define Estimation of Dynamic Multipliers Under Strict Exogeneity?
- The Us food and Drug administration has a limit for mercury content in fish of 1.0ppm (parts per million) while in Canada the limit is 0.5 ppm. Using the variable average mercury in the Florida lakes dataset to test whether there is evidence that average mercury level of fish ( large mouth Bass) in Florida lakes is less than 1.0ppm and whether there is evidence that average mercury level of fish in Florida lakes is less than 0.5ppm. STATE THE NULL AND ALTERNATIVE HYPOTHESES? GIVE THE TEST STATISTICS AND P-VALUE? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY LEVEL OF FISH (LARGE MOUTH BASS) IN FLORIDA LAKES IS LESS THAN 1.0PPM? LESS THAN 0.5 PPM : STATE THE NULL AND ALTERNATIVE HYPOTHESES. GIVE THE TEST STATISTICS AND P-VALUE ? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY…The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies. He selects a sample of 15 families, some with only a single insured driver, others with several teenage drivers, and pays each family a stipend to contact the two companies and ask for a price quote. To make the data comparable, certain features, such as the deductible amount and limits of liability, are standardized. The data for the sample of families and their two insurance quotes are reported below. At the 0.10 significance level, can we conclude that there is a difference in the amounts quoted? Hint: For the calculations, assume the "Midstates Car Insurance" as the first sample. Midstates Car Gecko Mutual Family Insurance Insurance Becker $ 2,090 $ 1,610 Berry 1,683 1,247 Cobb 1,402 2,327 Debuck 1,830 1,367 DuBrul 930 1,461 Eckroate 697 1,789 German 1,741…An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.
- To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: AGI : 22, 27, 32, 48, 65, 85, 120 RAID : 9.6, 9.6, 10.1, 11.1, 13.5, 17.7, 25.5 The correct interpretation of the meaning of each of the coefficients in the linear model is: a. When AGI is zero, the RAID is $4680 in this linear model. Since x = 0 is not included in the sample values of the independent variable, this interpretation cannot be a meaningful one. For every one thousand dollar of the AGI, the RAID increases by $161 in this linear model.…To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: AGI : 22, 27, 32, 48, 65, 85, 120 RAID : 9.6, 9.6, 10.1, 11.1, 13.5, 17.7, 25.5 Examine the attached printout and answer the following questions. The correct interpretation of the meaning of each of the coefficients in the linear model is: a. When AGI is zero, the RAID is $4680 in this linear model. Since x = 0 is not included in the sample values of the independent variable, this interpretation cannot be a meaningful one. For every one…To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: a. When AGI is zero, the RAID is $4680 in this linear model. Since x = 0 is not included in the sample values of the independent variable, this interpretation cannot be a meaningful one. For every one thousand dollar of the AGI, the RAID increases by $161 in this linear model. b. When AGI is zero, the RAID is $4680 in this linear model. For every one thousand dollar of the AGI, the RAID increases by $161 in this linear model. c. When…