4
QuizMultiple Choice

Unit Test — Unit test

Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

The owner of a smart watch would like to estimate the mean number of steps they take per day. To do so, they select a random sample of 30 days from the previous year’s data and record the number of steps they took on each of those days. The mean number of steps taken per day was 8,575 with a standard deviation of 2,125 steps. What is the value of the standard error of the mean?

Answer
A
70.833
B
387.970
C
394.603
D
2,125

Explanation

The standard error of the mean is the sample standard deviation divided by the square root of the sample size: 2,125 ÷ √30 ≈ 387.970 steps. Therefore, the standard error is about 387.970 steps, choice B.

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