Answer:
The correct option is;
69 cm
Step-by-step explanation:
The z-score, or standard score is a measure of how far a data is from the mean
The z-score, is given by the relation;
[tex]z = \dfrac{x- \mu}{\sigma}[/tex]
Z = Standard score
x = Value observed
μ = The mean height of the plants = 52.5 cm
σ = Standard deviation = 7.2 cm
Given that the z-score = 2.25, we have;
[tex]2.25 = \dfrac{x- 52.5}{7.2}[/tex]
Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm
Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.
