The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Buses Still Late," Boston %3D Globe, October 5, 2011). Suppose the district develops a new bus schedule to help combat chronic lateness on a particularly woeful route. Historically, the bus service on the route has been, on average, 12 minutes late. After the schedule adjustment, the first 36 runs were an average of 8 minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement-students were not as late. Assume a population standard deviation for bus arrival time of 12 minutes. Develop the null and alternative hypotheses to determine whether the schedule adjustment reduced the average lateness time of 12 minutes. H,:µ=8 and H. :µ#8 A H :X 28 and H:Ã<8 A H:u<12 and H:µ212 H, :µ>12 and H:u<12

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The Boston public school district has had difficulty maintaining on-time bus
service for its students ("A Year Later, School Buses Still Late," Boston
Globe, October 5, 2011). Suppose the district develops a new bus schedule
to help combat chronic lateness on a particularly woeful route. Historically,
the bus service on the route has been, on average, 12 minutes late. After the
schedule adjustment, the first 36 runs were an average of 8 minutes late. As
a result, the Boston public school district claimed that the schedule
adjustment was an improvement-students were not as late. Assume a
population standard deviation for bus arrival time of 12 minutes.
Develop the null and alternative hypotheses to determine whether the
schedule adjustment reduced the average lateness time of 12 minutes.
H,:µ=8 and H:µ#8
A
H,:X 28 and
H¸:X<8
H: u<12 and H:µ212
A
H, :µ212 and H :µ<12
Transcribed Image Text:The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Buses Still Late," Boston Globe, October 5, 2011). Suppose the district develops a new bus schedule to help combat chronic lateness on a particularly woeful route. Historically, the bus service on the route has been, on average, 12 minutes late. After the schedule adjustment, the first 36 runs were an average of 8 minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement-students were not as late. Assume a population standard deviation for bus arrival time of 12 minutes. Develop the null and alternative hypotheses to determine whether the schedule adjustment reduced the average lateness time of 12 minutes. H,:µ=8 and H:µ#8 A H,:X 28 and H¸:X<8 H: u<12 and H:µ212 A H, :µ212 and H :µ<12
Expert Solution
Step 1

From the provided information,

The bus service on the route has been on average 12 minutes late that is µ = 12

Sample size (n) = 36

Sample average (x̄) = 8

Population standard deviation (σ) = 12

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