Investigation 1: Ezpass on I-66 Transportation engineers determined that to help ease traffic, they would set up tolls f
Posted: Wed May 11, 2022 5:26 pm
Investigation 1: Ezpass on I-66 Transportation engineers
determined that to help ease traffic, they would set up tolls for
solo drivers during rush hour times on Route I-66 inside the
Capital Beltway (Route I-495). Carpooling drivers with the proper
Ezpass would drive free. The toll program began in December 4,
2017. To test the claim that fewer vehicles would use Route I-66
after the program began, a count of the number of vehicles was
collected from two random samples. One sample collected the number
of daily vehicles for 12 randomly selected days prior to December
4, 2017 (“Before”) and a second sample collected the number of
daily vehicles for another 12 randomly selected days after December
4, 2017 (“After”) (up to a year after). The data set is called
“Number of Vehicles 1.” Use the significance level = 0.05.
e) Calculate the statistic you plan to use to estimate the
stated parameter in part (b). Round this statistic to a whole
number.
f) Produce one image that displays both samples’ data using
horizontal boxplots. Please title and label this graph correctly
and copy the graph into your solutions.
g) Write a one-sentence interpretation of this plot. Also,
comment on whether it is appropriate to use the t-distribution for
inference based on this interpretation and the conditions
necessary.
h) No matter your answer to part (g), use Stat T Stats Two
Sample With Data to compute the test statistic and p-value for
this hypothesis test. Select Sample 1 as “After” and Sample 2 as
“Before.” Copy the output into your solutions.
Given Data that is on Stat crunch:
determined that to help ease traffic, they would set up tolls for
solo drivers during rush hour times on Route I-66 inside the
Capital Beltway (Route I-495). Carpooling drivers with the proper
Ezpass would drive free. The toll program began in December 4,
2017. To test the claim that fewer vehicles would use Route I-66
after the program began, a count of the number of vehicles was
collected from two random samples. One sample collected the number
of daily vehicles for 12 randomly selected days prior to December
4, 2017 (“Before”) and a second sample collected the number of
daily vehicles for another 12 randomly selected days after December
4, 2017 (“After”) (up to a year after). The data set is called
“Number of Vehicles 1.” Use the significance level = 0.05.
e) Calculate the statistic you plan to use to estimate the
stated parameter in part (b). Round this statistic to a whole
number.
f) Produce one image that displays both samples’ data using
horizontal boxplots. Please title and label this graph correctly
and copy the graph into your solutions.
g) Write a one-sentence interpretation of this plot. Also,
comment on whether it is appropriate to use the t-distribution for
inference based on this interpretation and the conditions
necessary.
h) No matter your answer to part (g), use Stat T Stats Two
Sample With Data to compute the test statistic and p-value for
this hypothesis test. Select Sample 1 as “After” and Sample 2 as
“Before.” Copy the output into your solutions.
Given Data that is on Stat crunch: