Math Problem Statement
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $22.46. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The rate per 5 CCF of residential water for 42 randomly selected U.S. cities are shown in the following. The following hypotheses can be used to determine whether the population mean rate per CCF of residential water charged by U.S. public utilities differs from the rate charged by Tulsa ( ).
H0:
Ha:
According to the information, answer the following three questions.
Public Utility Company Rate (5 CCF) Orlando Utilities Commission 10.48 Memphis Light, Gas and Water 9.18 Central Arkansas Water 11.80 City of Phoenix Water System 6.50 City of Lincoln Water System 12.42 San Antonio Water System 14.53 Salt Lake City Public Utilities 15.56 Nashville Metro Water Services 10.12 City of Dover Water System 14.50 Lakeland Electric 16.18 Huntsville Utilities 17.60 Omaha Metropolitan Utilities District 19.18 Jacksonville Electric Authority 17.98 City of Dallas Water System 12.85 City of St. Louis Water System 16.80 Charleston Water System 17.35 City of Clewiston Water System 15.64 Springfield (IL) City Water, Light and Power 14.80 City Of Milwaukee Water System 18.91 Detroit Sewerage and Water Department 17.99 City of Charlotte Water System 14.90 Louisville Water Company 18.42 City of Jackson (MS) Water System 16.05 Las Vegas Valley Water District 26.85 City of Columbus OH Water System 22.32 City of Oklahoma City - Utilities 22.76 Jackson TN Energy Authority 20.98 Knoxville Utilities Board 23.45 New York City Water Board 19.05 Reno Truckee Meadows Water Authority 23.70 Chattanooga American Water Company 19.26 Marietta Board of Lights & Water 23.75 City Utilities of Springfield MO 27.80 Indianapolis Citizens Energy Group 27.05 City of Philadelphia Water System 27.14 LA Sewerage and Water Board of New Orleans 26.99 Boston Water and Sewer Commission 24.68 Birmingham Water Works 37.86 Austin Water 26.51 City of Bellevue Water System 39.01 City of Los Angeles Water System 29.46 Peoria American Water 41.65
Flag question: Question 12 Question 121 pts Calculate the test statistic. Keep 2 decimals. Do not round intermediate calculations.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
One-Sample t-Test
Formulas
Sample Mean (x̄) = (Σx) / n
Sample Standard Deviation (s) = sqrt[(Σ(x - x̄)²) / (n - 1)]
Test Statistic (t) = (x̄ - μ₀) / (s / sqrt(n))
Theorems
Central Limit Theorem
t-Distribution
Suitable Grade Level
Grades 11-12 and College Level
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