Question

1. The weights of bags of baby carrots are normally distributed, with a mean of 29 ounces and a standard deviation of 0.31 ounce. Bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged?

2. The area between z= -1.1 and z =0.7 under the standard normal curve is

3.

Find the indicated area under the standard normal curve

To the right of z= -0.24

Answer #1

Question 21 The weights of bags of raisins are normally
distributed with a mean of 175 grams and a standard deviation of 10
grams. Bags in the upper 4.5% are too heavy and must be repackaged.
Also, bags in the lower 5% do not meet the minimum weight
requirement and must be repackaged. What are the ranges of weights
for raisin bags that need to be repackaged? Use a TI-83, TI-83
plus, or TI-84 calculator, and round your answers to...

1. A company produces an 80-ounce bag of carrots and the weight
of a bag of carrots is normally distributed with mean 80 ounces
with standard deviation 4.5 ounces.
(a) What is the probability that a randomly selected bag of
carrots will weigh less than 72 ounces?
(b) It turns out that their bags of carrots vary so much in
weight and people complained. The company wants to reduce their
standard deviation. What is the appropriate standard deviation if
the...

Weights of chocolate chip bags follow an approximately
normal distribution with mean 11.16 ounces and a standard deviation
of .15 ounce. Use this information to answer the next two
questions:(use stat-crunch)
2. One bag of chocolate chips weighed 1.55 standard
deviation above average. What proportion of bags weighs more than
this bag? (4 decimal places)
3. The lightest 10% of chocolate chip bags weigh less than
how many ounces? (3 decimal places)

The length of timber cuts are normally distributed with a mean
of 95 inches and a standard deviation of 0.52 inches. In a random
sample of 30 boards, what is the probability that the mean of the
sample will be between 94.7 inches and 95.3 inches?
0.002
0.950
0.436
0.998
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Question 182 pts
The Dow Jones Industrial Average has had a mean gain of 432 pear
year with a standard deviation of 722. A random sample of...

Potatoes - Samples: Assume the weights of
Farmer Carl's potatoes are normally distributed with a mean of 7.0
ounces and a standard deviation of 1.1 ounces. He bags his potatoes
in groups of 6. You buy a bag and the total weight is 36 ounces.
Here we determine how lucky or unlucky you
are.
(a) What is the mean potato weight in your bag of 6?
Enter your answer to 1 decimal place.
ounces
(b) If 6 potatoes are randomly...

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...

Suppose that the birth weights of infants are Normally
distributed with mean 120 ounces
and a standard deviation of 18 ounces. (Note: 1 pound = 16
ounces.)
a) Find the probability that a randomly selected infant will
weight less than 5 pounds.
b) What percent of babies weigh between 8 and 10 pounds at
birth?
c) How much would a baby have to weigh at birth in order for
him to weight in the top
10% of all infants?
d)...

1. In a random sample of 12 two-month-old baby girls, the sample
mean weight was 11.40 pounds and the population standard deviation
was 1.80 pounds. Assume that the population of weights for
two-month old baby girls is approximately normal.
a) Construct a 98% confidence interval for the population mean
weight of two-month-old baby girls. Be sure to include the
following:
The formula that’s used to calculate the confidence
interval.
If you used a built-in calculator program to compute the lower...

PART A: A particular fruit's weights are normally distributed,
with a mean of 451 grams and a standard deviation of 29 grams. The
heaviest 14% of fruits weigh more than how many grams? Give your
answer to the nearest gram.
B) Assume that z-scores are normally distributed with a
mean of 0 and a standard deviation of 1.
If P(−b<z<b)=0.4434P(-b<z<b)=0.4434, find
b.
C) A distribution of values is normal with a mean of 21.1 and a
standard deviation of 88.3....

Q3. The weights of pennies minted after 1982 are approximately
normally distributed with mean 2.46 grams and standard deviation
0.02 grams. (a) Draw a normal curve with the parameters labeled and
shade the region under the normal curve between 2.44 and 2.49
grams. (b) What is the value of the shaded region in the part (a)
above? Provide two interpretations for this area.

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