Question

Suppose a team of biologists has been studying the Bethany Pond (children’s fishing pond). Let X represents the length of a single fish taken at random from the pond. This group of biologists has determined that X has a normal distribution with mean μ = 8.3 inches and standard deviation σ = 2.1 inches.
What is the probability that the mean length X ̅ of five fish taken at random is between 7.3 and 10.3 inches, i.e, P (7.3 ≤ X ̅ ≤ 10.3)?

A

.51

B

.73

C

.84

D

.95

Suppose a team of biologists has been studying the Bethany Pond (children’s fishing pond). Let X represents the length of a single fish taken at random from the pond. This group of biologists has determined that X has a normal distribution with mean μ = 8.3 inches and standard deviation σ = 2.1 inches.
What is the probability that the mean length X ̅ of five fish taken at random is more than 10.4 inches, i.e, P (X ̅ > 10.4)?

A

.16

B

.04

C

.02

D

.01

Suppose a team of biologists has been studying the Bethany Pond (children’s fishing pond). Let X represents the length of a single fish taken at random from the pond. This group of biologists has determined that X has a normal distribution with mean μ = 8.3 inches and standard deviation σ = 2.1 inches.
What is the probability that the mean length X ̅ of five fish taken at random is less than 8.3 inches, i.e, P (X ̅ < 8.3)?

A

.5

B

.68

C

.95

D

.975

A team of botanists has been studying the perimeter of specific pine tree in one forest. Let X represents the circumference of a single pine tree from the forest. This group of biologists has determined that X has a normal distribution with mean μ = 7 inches and standard deviation σ = 1.5 inches.
What is the probability that the mean length X ̅ of five trees taken at random is between 7 and 8.5 inches, i.e, P (7≤ X ̅ ≤ 8.5)?

A

.5

B

.487

C

.34

D

.31

A team of botanists has been studying the perimeter of specific pine tree in one forest. Let X represents the circumference of a single pine tree from the forest. This group of biologists has determined that X has a normal distribution with mean μ = 7 inches and standard deviation σ = 1.5 inches.
What is the probability that the one pine tree taken at random is between 5.5 and 8.5 inches, i.e, P (5.5≤ X ≤ 8.5)?

A

.5

B

.487

C

.683

D

.975

A team of botanists has been studying the perimeter of specific pine tree in one forest. Let X represents the circumference of a single pine tree from the forest. This group of biologists has determined that X has a normal distribution with mean μ = 7 inches and standard deviation σ = 1.5 inches.

What is the probability that the mean length X ̅ of fifteen trees taken at random is more than 7.5 inches, i.e, P (X ̅ > 7.5)?

A

.098

B

.228

C

.369

D

.975

Answer 1