A City Is Considering Widening a Busy Intersection in Town

question 104

Essay

A city is considering widening a busy intersection in town.Last year,the city reported 16,000 cars passed through the intersection per day.The city conducted a survey for 49 days this year and found an average of 17,000 cars passed through the intersection,with a standard deviation of 5,000.
a.Specify the null and alternative hypotheses to determine whether the intersection has seen an increase in traffic.
b.Calculate the value of the test statistic and approximate the p-value.
c.The city is going to widen the intersection if it believes traffic has increased.At the 5% significance level,can you conclude that the intersection has seen an increase in traffic? Should the city widen the intersection?

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Definitions:

Propulsive

Generating a force that drives or pushes forward, typically used in reference to movement or motion.

Antalgic

Related to or denoting a gait or posture adopted so as to avoid pain on weight-bearing structures, often due to injury.

High-risk Pregnancy

A pregnancy that involves increased health risks for the pregnant individual, the developing fetus, or both, due to various medical conditions or factors.

Bed Rest

A medical treatment in which a patient is advised to stay in bed for most of the time to aid the process of recovery.