Question

The amount of fill (weight of contents) put into a glass jar of
spaghetti sauce is normally distributed with mean *μ* = 841
grams and standard deviation of *σ* = 14 grams.

(a) Describe the distribution of *x*, the amount of fill
per jar.

skewed right normal skewed left chi-square

(b) Find the probability that one jar selected at random contains
between 836 and 856 grams. (Give your answer correct to four
decimal places.)

(c) Describe the distribution of *x*, the mean weight for a
sample of 30 such jars of sauce.

skewed right normal skewed left chi-square

(d) Find the mean of the *x* distribution. (Give your answer
correct to the nearest whole number.)

(ii) Find the standard error of the *x* distribution. (Give
your answer correct to two decimal places.)

(e) Find the probability that a random sample of 30 jars has a mean
weight between 836 and 856 grams. (Give your answer correct to four
decimal places.)

Answer #1

The amount of fill (weight of contents) put into a glass jar
of spaghetti sauce is normally
distributed with mean μ = 854 grams and standard deviation of
σ = 12 grams.
(e) Find the probability that a random sample of 30 jars has a
mean weight
between 844 and 858 grams. (Give your answer correct to four
decimal places.)
(with step by step please)

The local bakery bakes more than a thousand 1-pound loaves of
bread daily, and the weights of these loaves varies. The mean
weight is 1.2 lb. and 2 oz., or 601 grams. Assume the standard
deviation of the weights is 25 grams and a sample of 46 loaves is
to be randomly selected.
(a) This sample of 46 has a mean value of x, which belongs to
a sampling distribution. Find the shape of this sampling
distribution.
skewed right
approximately...

The local bakery bakes more than a thousand 1-pound loaves of
bread daily, and the weights of these loaves varies. The mean
weight is 1.1 lb. and 4 oz., or 612 grams. Assume the standard
deviation of the weights is 26 grams and a sample of 50 loaves is
to be randomly selected.
(a) This sample of 50 has a mean value of x, which
belongs to a sampling distribution. Find the shape of this sampling
distribution.
skewed right
approximately...

Consider the approximately normal population of heights of male
college students with mean μ = 72 inches and standard
deviation of σ = 3.2 inches. A random sample of 21 heights
is obtained.
(a) Describe the distribution of x, height of male
college students.
skewed rightapproximately
normal chi-squareskewed left
(b) Find the proportion of male college students whose height is
greater than 74 inches. (Round your answer to four decimal
places.)
(c) Describe the distribution of x, the mean of samples...

Suppose a simple random sample of size nequals36 is obtained
from a population that is skewed right with mu equals 81 and sigma
equals 6.
(a) Describe the sampling distribution of x overbar.
(b) What is Upper P left parenthesis x overbar greater than
82.1 right parenthesis?
(c) What is Upper P left parenthesis x overbar less than or
equals 78.5 right parenthesis?
(d) What is Upper P left parenthesis 79.9 less than x overbar
less than 82.65 right parenthesis?...

1/ A particular fruit's weights are normally distributed, with a
mean of 352 grams and a standard deviation of 28 grams.
If you pick 9 fruits at random, then 9% of the time, their mean
weight will be greater than how many grams?
Give your answer to the nearest gram.
2/A manufacturer knows that their items have a lengths that are
skewed right, with a mean of 7.5 inches, and standard deviation of
0.9 inches.
If 50 items are chosen...

Bill Alther is a zoologist who studies Anna's hummingbird
(Calypte anna).† Suppose that in a remote part of the
Grand Canyon, a random sample of six of these birds was caught,
weighed, and released. The weights (in grams) were as follows.
3.7
2.9
3.8
4.2
4.8
3.1
The sample mean is x = 3.75 grams. Let x be a
random variable representing weights of hummingbirds in this part
of the Grand Canyon. We assume that x has a normal
distribution...

Suppose that the weight of open boxes of cereal in a home with
children is uniformly distributed from one to three pounds with a
mean of two pounds and standard deviation of 0.5774. We randomly
survey 64 homes with children.
Part (a)
In words, define the random variable X.
the weight, in pounds, of the children in the homethe weight, in
pounds, of open boxes of cereal the number
of open boxes of cereal in the homethe number of children in...

ASK YOUR TEACHER
question
Bill Alther is a zoologist who studies Anna's hummingbird
(Calypte anna). (Reference: Hummingbirds, K. Long, W.
Alther.) Suppose that in a remote part of the Grand Canyon, a
random sample of six of these birds was caught, weighed, and
released. The weights (in grams) were as follows.
3.7
2.9
3.8
4.2
4.8
3.1
The sample mean is = 3.75 grams. Let x be a
random variable representing weights of hummingbirds in this part
of the Grand Canyon....

A random sample of n = 81 observations is drawn from a
population with a mean equal to 15 and a standard deviation equal
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overbar . mu Subscript x overbar equalsnothingsigma Subscript x
overbar equalsnothing ?(Type integers or? decimals.) b. Describe
the shape of the sampling distribution of x overbar . Does this
answer depend on the sample?...

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