The statistics teacher estimate the average age of students. Determine the minimum sample size if the estimate should be accurate within 1 year and the standard deviation is 3 years. Assume 99% confidence level.
a.
6
b.
60
c.
8
d.
25
a.
6
b.
60
c.
8
d.
25
Answers & Comments
Answer:
D. 25
Step-by-step explanation:
The minimum sample size can be calculated using the formula:
n = (Zα/2 * σ / E)^2
where:
Substituting the given values, we get:
n = (2.576 * 3 / 1)^2 = 23.22
Rounding up to the nearest whole number, the minimum sample size is 24.
Therefore, the closest option is d.25.