The basal diameter of a sea anemone is an indicator of its age, and in a certain population of anemones, the distribution of basal diameters is approximately normal with a mean of 5.3 cm and a standard deviation of 1.8 cm. suppose you randomly select five anemones from this population.a. what is the probability that all five anemones have a basal diameter more than 5.5 cm? (2pt)
Accepted Solution
A:
Given: ΞΌ = 5.3 cm, population mean Ο = 1.8 cm, population sandard deviation n = 5, sample size
The random variable is x = .5 cm. The z-score is [tex]z = \frac{x-\mu}{\sigma / \sqrt{n} } = \frac{5.5-5.3}{1.8/ \sqrt{5} } =0.2485[/tex]
From standard table, obtain P(x>5.5) = 1Β - 0.598 = 0.402