Question

The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and a standard variable deviation 0.6 ounce.

- For all possible random samples of 25 bottles, what is the shape of the sampling distribution of the sample means?
- What is the likelihood that in a random sample of 25 bottles the mean volume is more than 14.5 ounces?
- What is the probability that in a random sample of 25 bottles the mean volume is below 15.8 ounces?

The mean weight of 10 randomly newborn babies at a local hospital is 7.14 lbs and the standard deviation of 0.817 lbs. Assume the weight of newborn babies has approximately normal distribution.

- Find the margin of error for a confidence level of 90%.

- Fill in the blanks in the following sentence.

% of all samples of size have sample means within of the population mean.

- Find the 90% confidence interval for the mean weight at this hospital.

Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let X be a randomly selected finishing time.

- What is the probability that a that a person running a 10-kilometer road race in New York City, will end up with finishing times average between 52 and 70 minutes for a road race?
- Find the value of the 95% percentile, P
_{95}, for this random variable. - Use the information from part (b) to circle the correct choice and to fill in the blanks in the following sentence:

% of finishing time average (at least/at most) minutes in a New York City 10-kilometer road race.

Answer #1

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b)

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Use Z- table or Excel function =NORMSDIST(z)

Problem 2: Assume that the finishing times in a New York City
10-kilometer road race are normally distributed with a mean of 61
minutes and a standard deviation of 9 minutes.
a) What percentage of the finishing times exceeds 72
minutes?
b) What percentage of the finishing times is between 52 and 70
minutes?
c) Find the value of the 95th percentile, P95, for this random
variable.
d) Use the information from part (c) to circle the correct
choice and...

The mean weight of 10 randomly newborn babies at a local
hospital is 7.14 lbs and
the standard deviation of 0.817 lbs. Assume the weight of newborn
babies has
approximately normal distribution.
a. Find the margin of error for a confidence level of 90%.
b. Fill in the blanks in the following sentence.
% of all samples of size have sample means within of the
population mean.
c. Find the 90% confidence interval for the mean weight at this
hospital.

please do steps
11 - The mean weight of 10 randomly selected newborn babies at a
local hospital is 7.14 lbs and the standard deviation is 0.87 lbs.
Assume the weight of newborn babies has approximately normal
distribution. a. Find the margin of error for the 95% confidence
interval for the mean weight of all newborn babies at this
hospital. b. Use information from part (a) to fill in the blanks in
the following sentence: __________ of all samples of...

The weight of a newborn baby is a random variable that follows a
normal distribution with mean =3.2 kg and standard deviation = 0.4
kg.
a) Determine the percentage of newborn babies that weight 3.5 kg
or more
b) Calculate the conditional probability that a newborn baby
weighs more than 3.5 kg if it's known that it at least weights 3
kg.
c) From what weight is found the 10% of the babies that are born
weighing more?

Two machines are used for filling plastic bottles (for a
desired volume of 16 ounces). The fill volume can be
assumed Normal, with standard deviations
σ1=0.020 and
σ2=0.025 ounces for the two machines
respectively. The quality control engineer wants to check if both
machines fill the bottles to the same volume or if the volumes
differ. A random sample of 10 bottles is taken from each
machine. Assume the data are independent. The data are given
below:
Machine_01
Machine_02
16.03...

1)Given that x is a normal variable with mean
μ = 46 and standard deviation σ = 6.2, find the
following probabilities. (Round your answers to four decimal
places.)
(a) P(x ≤ 60)
(b) P(x ≥ 50)
(c) P(50 ≤ x ≤ 60)
2)The Customer Service Center in a large New York department
store has determined that the amount of time spent with a customer
about a complaint is normally distributed, with a mean of 9.9
minutes and a standard deviation of 2.4...

1.The sample mean is an unbiased estimator for
the population mean. This means:
The sample mean always equals the population mean.
The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
mean.
The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
The standard error of the sample mean will decrease as the
sample size increases....

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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