Purchase Solution

Random Sampling Distribution Test

Not what you're looking for?

Ask Custom Question

An automobile manufacturer advertises that the mean petrol consumption of its new hybrid car does not exceed 4.6 litres per 100 km. An independent company decides to test the manufacturer's claim by selecting a random sample of 16 vehicles and measuring the consumption of each. They have found that the petrol consumptions in litres per 100 km of those vehicles are as follows:
4.7 4.9 4.4 4.5 4.6 4.7 4.7 4.8 4.9 4.3 5.0 4.6 4.7 4.9 4.8 5.1

a) Perform a hypothesis test at the 5% level to see if there is evidence to support the manufacturer's claim.

b) State the distributional assumption required for the test in part (a) to be valid, and use an appropriate plot to test the assumption. With reference to your plot, briefly explain why the assumption is or is not satisfied.

c) Based on your answers to parts a) and b), should the manufacturer be reported to a fair trading commission for misleading advertising? Briefly explain your decision.

Purchase this Solution

Solution Summary

In this solution we perform a hypothesis test and answer a series of questions associated with it.

Solution Preview

** Please refer to the attachments for the complete solution **

Solution-Part-a:
STEP-1: Null and Alternate Hypothesis: (please see the attached file)
Null Hypothesis: The mean petrol consumption of the new hybrid car is greater than or equal to 4.6 litres per 100 km.
: (please see the attached file)
Alternate Hypothesis: The mean petrol consumption of the new hybrid car is less than 4.6 litres per 100 km.
: (please see the attached file)
STEP-2: Analysis Plan:
(please see ...

Purchase this Solution


Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.