A boat manufacturer claims that a particular boat model and motor combination willburn less than 4.0 gallons of fuel per hour. Fuel consumption for a random sample of10 similar boats was measured, resulting in the data below:
A consumer group is interested in determining if there is convincing evidence that themanufacturer's claim is correct.
a) What null and alternative hypotheses should the investigators use?
In a fewsentences, justify your choice of the alternative hypothesis.
b) Using a graphic technique of your choice, show that the t-procedures areappropriate to use with these data.
c) Using your hypotheses from part (a), carry out a hypothesis test using ?= 0.05and interpret the results.
d) In the context of this study, describe a Type I and a Type II error.

Question

A boat manufacturer claims that a particular boat model and motor combination willburn less than 4.0 gallons of fuel per hour. Fuel consumption for a random sample of10 similar boats was measured, resulting in the data below:  
A consumer group is interested in determining if there is convincing evidence that themanufacturer's claim is correct.
a) What null and alternative hypotheses should the investigators use?
 In a fewsentences, justify your choice of the alternative hypothesis.
b) Using a graphic technique of your choice, show that the t-procedures areappropriate to use with these data.
c) Using your hypotheses from part (a), carry out a hypothesis test using ?= 0.05and interpret the results.
d) In the context of this study, describe a Type I and a Type II error.

Quizplus · Accepted Answer

The Answer of A boat manufacturer claims that a particular boat model and motor combination willburn less than 4.0 gallons of fuel per hour. Fuel consumption for a random sample of10 similar boats was measured, resulting in the data below:  
A consumer group is interested in determining if there is convincing evidence that themanufacturer's claim is correct.
a) What null and alternative hypotheses should the investigators use?
 In a fewsentences, justify your choice of the alternative hypothesis.
b) Using a graphic technique of your choice, show that the t-procedures areappropriate to use with these data.
c) Using your hypotheses from part (a), carry out a hypothesis test using ?= 0.05and interpret the results.
d) In the context of this study, describe a Type I and a Type II error.

A Boat Manufacturer Claims That a Particular Boat Model and Motor