Two Asteroids,A and B,orbit the Sun

question 9

Multiple Choice

Two asteroids,A and B,orbit the Sun.Asteroid A follows a circular orbit with a radius of 6 AU.
Asteroid B follows an elliptical orbit with a perihelion distance of 4 AU and an aphelion distance of 8 AU.
How do their orbital periods compare to each other?

• A) Asteroid B has about half the period of asteroid A.
• B) Asteroid B has about 1.5 times the period of asteroid A.
• C) Asteroid B has about twice the period of asteroid A.
• D) The asteroids have identical periods.

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Definitions:

Pooled Variance

A method to estimate the variance of two or more populations that assumes the populations have the same variance but different means.

Test Statistic

A value calculated from sample data during a hypothesis test that is used to determine the probability of observing the sampled data under the null hypothesis.

Population Variances

A measure of the dispersion or spread of a set of data points in a population; it quantifies how much the data points deviate from the mean of the population.

Confidence Interval

A range of values, derived from sample statistics, that is believed to contain the true population parameter with a certain level of confidence.