A tire manufacturer is considering a newly designed tread pattern for its sports

Question

A tire manufacturer is considering a newly designed tread pattern for its sports tires. Tests indicate that these tires will provide better gas mileage and longer tread life. The company test the tires for braking effectiveness, hoping the tires will allow a car traveling at 60 mph to completely stop in 110 feet after the brakes are applied. They will adopt the new tread pattern unless there is strong evidence that the tires do not meet this objective.

Using the sample data provided, what can we conclude about the inference method? Select all that apply.

Select all that apply:

a) It is reasonable to assume the tires are independent and randomly selected.

b) There are fewer than 10 successes and failures, therefore the sample is too small.

c) It is not reasonable to assume the data is representative of the population.

d) It is reasonable to infer a t-distribution since we don't know the true population standard deviation.

e) It is reasonable to infer a Normal distribution since we don't know the true population standard deviation.

f) The sample size is too large for an independence assumption.

g) It is reasonable to assume the data is representative of the population.

Explanation / Answer

The following apply

a) It is reasonable to assume the tires are independent and randomly selected.

d) It is reasonable to infer a t-distribution since we don't know the true population standard deviation.

g) It is reasonable to assume the data is representative of the population.

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