19
QuizMultiple Choice

Unit Test — Unit test

Question 19 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

The owner of a tire company wants to determine how long a new type of tire tread will last by measuring the length of time, in days, it takes for the tire tread to reach 2 mm. Let μ = the true mean number of days it takes for the tire tread to wear to 2 mm. Which of the following sample sizes will have the least variability in the sampling distribution of the sample mean?

Answer
A
25
B
35
C
45
D
55

Explanation

The variability of the sampling distribution of the sample mean is measured by its standard error, which is the population standard deviation divided by the square root of the sample size. A larger sample size gives a smaller standard error, so among 25, 35, 45, and 55, the sample size of 55 has the least variability.

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