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Industrial Engineering

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Jan 9, 2024

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Answer & Explanation Solved by verified expert Current price of gas per gallon= 3$ Budget=50$ per week Cost of gas for 50$ budget= 50/3=16.66 gallons Choice 1: Maximum miles it can travel to stay in budget=17x16.66=283.22 miles, therefore m<283.2 to stay on budget Choice 2: 24x16.66= 400 miles, m<400 to stay on budget Choice 3: 24x16.66= 400 miles, m<400 to stay on budget Step-by-step explanation Current price of gas per gallon= 3$ Budget=50$ per week Cost of gas for 50$ budget= 50/3=16.66 gallons Choice 1: Maximum miles it can travel to stay in budget=17x16.66=283.22 miles, therefore m<283.2 to stay on budget Choice 2: 24x16.66= 400 miles, m<400 to stay on budget Choice 3: 24x16.66= 400 miles, m<400 to stay on budget. Find the mean Answer & Explanation Solved by verified expert mean miles per gallon for highway driving 21.7 (rounded off to 1 decimal place) mean miles per gallon for city driving 16.7 (rounded off to 1 decimal place)
The median for miles per gallon (highway) is : 24 The median for miles per gallon (city) is : 18 The three (3) chosen vehicle models can travel farther in the highway than in the city (given the same amount of fuel) since the average (i.e., mean) miles per gallon for highway (i.e., 21.7) driving is greater than the average miles per gallon for city driving (i.e., 16.7). Step-by-step explanation Given: Miles per gallon (city) Miles per gallon (highway) Choice 1 13 17 Choice 2 18 24 Choice 3 19 24 Required: (1) Mean miles per gallon for highway driving and mean miles per gallon for city driving based on the three chosen vehicles (2) Median for miles per gallon (highway) and miles per gallon (city) (3) One conclusion about the comparison between miles per gallon in the city and miles per gallon on the highway Solution: (1) To solve for the mean miles per gallon for highway driving , we get the sum of the "miles per gallon (highway)" of the all choices and divide the answer by 3 (# of choices). [sum of all data points divided by the number of data points]
mean miles per gallon for highway driving = (17 + 24 + 24) ÷ 3 = 21.666... ≈ 21.7 (rounded off to 1 decimal place) We use the same formula to solve for the mean miles per gallon for city driving . mean miles per gallon for city driving = (13 + 18 + 19) ÷ 3 = 16.666... ≈ 16.7 (rounded off to 1 decimal place) (2) To find/determine the median, we write the given values in order and look for the "middle" value. The median for miles per gallon (highway) is : 17, 24 , 24 (the median will be 24) ---> Using the formula {(n + 1) ÷ 2}th , where n is the number of data points and " th " is the nth number, we get: {(3 + 1) ÷ 2}th --> {4 ÷ 2}th --> 2nd (based on grammar rules, it will be " 2nd ", not " 2th ") The 2nd number in the data set is 24 . The median for miles per gallon (city) is : 13, 18 , 19 (the median will be 18) ---> Using the formula {(n + 1) ÷ 2}th , where n is the number of data points and " th " is the nth number, we get: {(3 + 1) ÷ 2}th --> {4 ÷ 2}th --> 2nd (based on grammar rules, it will be " 2nd ", not " 2th ") The 2nd number in the data set is 18 . (3) Conclusion: The three (3) chosen vehicle models can travel farther in the highway than in the city (given the same amount of fuel) since the average (i.e., mean) miles per gallon for highway (i.e., 21.7) driving is greater than the average miles per gallon for city driving (i.e., 16.7).
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