In a survey conducted by the Big Creek State Marine Reserve in California, the l

Question

In a survey conducted by the Big Creek State Marine Reserve in California, the length of various species of fish caught at two locations were recorded. Suppose the length of a yellowtail caught at the Santa Lucia Kelp Bed is normally distributed with mean 38 inches and standared deviation 2.9 inches.

a. Suppose 1 yellowtail is selected at random. What is the probability that the length of the yellowtail is more than 41 inches?

b. Suppose 32 yellowtail are selected at random. What is the probability that the sample mean length is greater than 41 inches?

Explanation / Answer

Mean = 28 inches

standard deviaiton = 2.9 inches

for length > 41 inches

lets first find the z score = (41-38)/2.9 = 1.0344

Find P(Z < 1.033) = 0.7734.

= 0.15

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.