8
practice examMultiple Choice

Practice Exam

Question 8 • Statistics

A shipping company claims that 95 percent of packages are delivered on time. A student wants to conduct a simulation to estimate the number of packages that would need to be randomly selected in order to find a package that was not delivered on time. What is an appropriate assignment of digits to carry out this simulation?

Answer
A
Let 05 – 99 is equal to not delivered on time. Let 00 – 04 is equal to delivered on time.
B
Let 00 – 04 is equal to not delivered on time. Let 05 – 99 is equal to delivered on time.
C
Let 06 – 99 is equal to not delivered on time. Let 00 – 05 is equal to delivered on time.
D
Let 00 – 05 is equal to not delivered on time. Let 06 – 99 is equal to delivered on time.

Explanation

If 95 percent of packages arrive on time, then 5 percent are not on time. Using two-digit numbers from 00 through 99 gives 100 equally likely outcomes, so assign 5 numbers—00 through 04—to packages that are not on time, and the remaining 95 numbers—05 through 99—to packages delivered on time. This matches choice B.

AI-written and checked against the verified answer.

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