Question

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed with a mean of 3.2 pounds and a standard deviation of .8 pounds. What is the probability that a sample of 64 fish will have a sample mean between 2.9 and 3.4 pounds?

Answer #1

Solution :

Given that,

= / n = .8 / 64 = 0.1

= P[(2.9 - 3.2) / 0.1< ( - ) / < (3.4 - 3.2) / 0.1)]

= P(-3 < Z < 2)

= P(Z < 2) - P(Z < -3)

= 0.9772 - 0.0013

= 0.9759

Probability = **0.9759 **

The owner of a fish market has an assistant who has determined
that the weights of catfish are normally distributed, with a mean
of 3.2 pounds and a standard deviation of 0.8 pound. If a sample of
64 fish yields a mean of 3.4 pounds, what is probability of
obtaining a sample mean this large or larger?
0.4987
0.0013
0.0001
0.0228

The owner of a fish market has an assistant who has determined
that the weights of catfish are normally distributed, with a mean
of 3.2 pounds and a standard deviation of 0.8 pound. If a sample of
16 fish is taken, what would the standard error of the mean weight
equal?
0.003
0.200
0.800
0.050

The owner of a fish market has an assistant who has determined
that the weights of catfish are normally distributed, with mean of
3.2 pounds and standard deviation of 0.8 pound. A sample of 4 fish
is taken. Below what value do 89.62% of the sample mean fall?
A
2.696
B
2.842
C
3.559
D
3.704

The owner of a meat market has an assistant who has determined
that the weights of roasts are normally distributed, with a mean of
3.2 pounds and standard deviation of 0.8 pounds. If a sample of 25
roasts yields a mean of 3.6 pounds, what is the Z-score
for this sample mean?
Group of answer choices
1. None of these choices.
2. −2.50
3. . 2.50
4. −0.50

The weights of the fish in a certain lake are normally
distributed with a mean of 20 lb and a standard deviation of 9. If
9 fish are randomly selected, what is the probability that the mean
weight will be between 17.6 and 23.6 lb?

Assume that the weights of Lahontan Cutthroat Trout are
normally distributed with a population mean weight of 5 pounds and
a standard deviation of 1.2 pounds.
(a) What is the probability of catching a fish that weighs less
than 4.5 pounds?
(b) What is the probability of catching a fish that weighs
greater than 5.25 pounds?
(c) What is the probability of catching a fish that weighs
between 4.5 and 5.25 pounds?

The weight W of fish in a given pond is normally distributed
with mean 8.5 pounds and standard deviation 1.2 pounds. If you
randomly select 5 fish from the pond, what is the probability that
the mean weight of the fish is between 8 and 9 pounds?

The weights of the fish in a certain lake are normally
distributed with a mean of 16 lb and a standard deviation of 6. If
4 fish are randomly? selected, what is the probability that the
mean weight will be between 13.6 and 19.6 ?lb? Round your answer to
four decimal places. A. 0.3270 B. 0.6730 C. 0.4032 D. 0.0968

The weight W of fish in a given pond is normally distributed
with mean 8.5 pounds and standard deviation 1.2 pounds.
(a) What is the probability that a fish weighs less than 8
pounds?
(b) The weight of 90% of fish is below what value?
(c) If you randomly select 5 fish from the pond, what is the
probability that the mean weight of the fish is between 8 and 9
pounds?

The owner of a computer repair shop has determined that their
daily revenue has mean $7200 and standard deviation $1200. The
daily revenue is normally distributed. a) What is the probability
that a randomly selected day will have a revenue of at most $7000?
b) The daily revenue for the next 30 days will be monitored. What
is the probability that the mean daily revenue for the next 30 days
will exceed $7500?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 25 minutes ago

asked 25 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago