Question

**The weight of Labrador Retrievers, a popular breed of
dog depicted in Figure 1, is normally distributed with a mean of 65
pounds and a standard deviation of 6 pounds.**

**a) What is the probability of observing a Labrador
Retriever that weighs more than 77 pounds?**

**b) What is the probability of observing a Labrador
Retriever that weighs between 56 and 74 pounds?**

**c) What is the 10th percentile weight of Labrador
Retrievers?**

**d) The weight of Miniature Dachshunds, a much smaller
breed of dog (see Figure 2), is normally distributed with a mean of
10 pounds and a standard deviation of 1.6 pounds. Which event
occurs with lower probability, observing a Labrador Retriever that
weighs more than 72 pounds or observing a Miniature Dachshund that
weighs less than 7.2 pounds?**

Answer #1

The weights of Labrador Retrievers are normally distributed with
a mean of 72 pounds with a standard deviation of 3.5 pounds.
Provide a distribution for representative, random samples of 50
Labradors.

1. The weights of a certain dog breed are approximately normally
distributed with a mean of ? = 46 pounds, and a standard deviation
of ? = 7 pounds.
A) A dog of this breed weighs 51 pounds. What is the dog's
z-score? Round your answer to the nearest hundredth as needed. z
=
B) A dog has a z-score of -0.8. What is the dog's weight? Round
your answer to the nearest tenth as needed. ____ pounds
C) A...

The weights of a certain dog breed are approximately normally
distributed with a mean of 53 pounds, and a standard deviation of
5.9 pounds. Answer the following questions. Write your answers in
percent form. Round your answers to the nearest tenth of a
percent.
a) Find the percentage of dogs of this breed that weigh less than
53 pounds. %
b) Find the percentage of dogs of this breed that weigh less than
49 pounds. %
c) Find the percentage...

The weights of a certain dog breed are approximately normally
distributed with a mean of 50 pounds, and a standard deviation of
6.6 pounds. Use your graphing calculator to answer the following
questions. Write your answers in percent form. Round your answers
to the nearest tenth of a percent.
a) Find the percentage of dogs of this breed that weigh less
than 50 pounds. ______ %
b) Find the percentage of dogs of this breed that weigh less
than 47...

1) Adult Golden Retrievers have a mean weight of 64 pounds with
a standard deviation of 8 pounds. If you take a random sample of 50
adult Golden Retrievers, what would be the standard deviation of
the sample distribution, σ¯¯¯XσX¯?
64 pounds
1.13 pounds
8 pounds
9.05 pounds
2) Adult Golden Retrievers have a mean weight of 64 pounds with
a standard deviation of 8 pounds. If you take a random sample of 35
gold retrievers, what is the probability...

Weights of female cats of a certain breed are normally
distributed with mean 4.3 kg and standard deviation 0.6 kg.
6 cats are chosen at random. What is the probability that
exactly one of them weighs more than 4.5 kg?

The weight of an American Water Spaniel dog is normally
distributed with mean weight 38 pounds and standard deviation 2.9
pounds.
a. What proportion of Water Spaniels has a weight less than 37
pounds?
b. What proportion of Water Spaniels has a weight over 43.4
pounds?
c. What proportion of Water Spaniels has a weight between 34 and
40 pounds?

The mean weight for crates of apples are normally distributed
with a mean weight of 34.6 pounds and a standard deviation of 2.8
pounds. Considering 40 crates of apples, what is the probability
that the mean weight is more than 33.5 pounds?

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.
(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?

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