Use Technology to Solve the Following Problem: the Lifetime of a Certain

question 101

Multiple Choice

Use technology to solve the following problem: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean $\mu = 44$ and standard deviation $\sigma = 4$ . What Proportion of tires have lifetimes of less than 49 thousand miles?

• A) 0.1056
• B) 0.4472
• C) 0.8944
• D) 0.5528

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Definitions:

Triplet

A term used in quantum mechanics and spectroscopy to describe a system or state with three closely related energy levels, or a spin state of a molecule in which two unpaired electrons have parallel spins.

Test-Statistic

A value calculated from sample data during a hypothesis test that is used to determine whether to reject the null hypothesis.

Two-Tail Test

A statistical test that determines the significance of a parameter by considering both ends (tails) of the distribution to test for extreme values.

Null Hypothesis

A hypothesis used in statistics that proposes no statistical significance exists in a set of given observations.