7)- The Department of Highway Improvements, responsible for repairing a 25 mile stretch of interstate highway, wants to design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25 mile segment of the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the department engineers believe that the volume of heavy freight traffic for this particular sector is greater than the average reported for the entire interstate. To validate this theory, the department monitors the high for 50 1-hour periods randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for the 50 sampled hours are Sample mean = 74.1 standard deviation = 13.3 a) Do the data support the department's theory? Use a = 0.10 to come to a conclusion based on a large-sample test.

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Chapter1: Combinatorial Analysis
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7) a) Solve it step by step please.
7)- The Department of Highway Improvements, responsible for repairing a 25 mile stretch of interstate highway, wants to
design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the
interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25 mile segment of
the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the
department engineers believe that the volume of heavy freight traffic for this particular sector is greater than the average
reported for the entire interstate. To validate this theory, the department monitors the high for 50 1-hour periods
randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for
the 50 sampled hours are
Sample mean = 74.1 standard deviation = 13.3
a) Do the data support the department's theory? Use a = 0.10 to come to a conclusion based on a large-sample test.
Transcribed Image Text:7)- The Department of Highway Improvements, responsible for repairing a 25 mile stretch of interstate highway, wants to design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25 mile segment of the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the department engineers believe that the volume of heavy freight traffic for this particular sector is greater than the average reported for the entire interstate. To validate this theory, the department monitors the high for 50 1-hour periods randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for the 50 sampled hours are Sample mean = 74.1 standard deviation = 13.3 a) Do the data support the department's theory? Use a = 0.10 to come to a conclusion based on a large-sample test.
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