Statistics Solutions

(All Steps) A car manufacturer is advertising the performance specifications of a particular model of car. Two of the claims are Acceleration: From 0-50mph

Question:

A car manufacturer is advertising the performance specifications of a particular model of car. Two of the claims are

Acceleration: From 0-50mph in an average of 5.15 seconds

Braking: From 60mph to 0 in 3.40 seconds

A rival company wants to dispute these claims so contacts an independent testing service. A random sample of 12 trial runs are recorded. From the trial runs the data obtained were:

Acceleration (seconds) Braking (seconds)
5.20 3.42
5.13 3.43
5.21 3.38
5.25 3.41
5.16 3.37
5.24 3.40
5.26 3.46
5.10 3.34
5.16 3.44
5.23 3.38
5.12 3.47
5.14 3.35

Assuming that the underlying population distribution for the times for both braking and acceleration are normally distributed

  1. Carry out two hypothesis tests on the manufacturer’s claims. Calculate the relevant P -values and then state your conclusions.
  2. State the times corresponding to the critical region at the 0.05 level for both tests.

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document


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