Question

The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.3 mm. Suppose that 10 individuals are randomly chosen. Round all answers to 4 where possible.

- For the group of 10, find the probability that the average hand length is less than 187.
- Find the first quartile for the average adult male hand length for this sample size.

Answer #1

The lengths of adult males' hands are normally distributed with
mean 186 mm and standard deviation is 7 mm. Suppose that 9
individuals are randomly chosen. Round all answers to 4 where
possible.
A. What is the distribution of ¯x? ¯x ~
N( , )
B. For the group of 9, find the probability that the average
hand length is more than 184.
C. Find the first quartile for the average adult male hand
length for this sample size.
D....

The lengths of adult males' hands are normally distributed with
mean 190 mm and standard deviation is 7 mm. Suppose that 48
individuals are randomly chosen. Round all answers to 4 where
possible.
For the group of 48, find the probability that the average hand
length is less than 192.
Find the third quartile for the average adult male hand length
for this sample size.
For part b), is the assumption that the distribution is normal
necessary?

The lengths of adult males' hands are normally distributed with
mean 195 mm and standard deviation is 7.1 mm. Suppose that 49
individuals are randomly chosen. Round all answers to 4 where
possible. What is the distribution of ¯ x ? ¯ x ~ N( , ) For the
group of 49, find the probability that the average hand length is
more than 196. Find the first quartile for the average adult male
hand length for this sample size. For...

please show all work!!!The lengths of adult males' hands are
normally distributed with mean 195 mm and standard deviation is 7
mm. Suppose that 43 individuals are randomly chosen. Round all
answers to 4 where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 43, find the probability that the average hand
length is less than 194.
Find the third quartile for the average adult male hand length
for this sample size.
For part b),...

Suppose that the walking step lengths of adult males are
normally distributed with a mean of 2.3 feet and a standard
deviation of 0.20 feet. A sample of 82 men’s step lengths is
taken.
Step 2 of 2 :
Find the probability that the mean of the sample taken is less
than 2.1 feet. Round your answer to 4 decimal places, if
necessary.

The heights of adult males are known to be normally distributed
with a mean of 70 inches and a standard deviation of 2 inches.
a) Find the probability that a randomly selected adult male will
be taller than 75 inches?
(b) If three adult males are picked at random, find the
probability that at least one of the males is taller than 75
inches.

A group of adult males has foot lengths with a mean of 26.98cm
and a standard deviation of 1.41cm. Use the range rule of thumb to
identify the limits separating values that are significantly low or
significantly high. Is the adult male foot length of 23.9 cm
significantly low or significantly high? Explain.
1. Significantly low values are ___ cm or lower (do not
round)
2. Significantly high values are ___ cm or higher (do not
round)
3. select the...

Pregnancy lengths are normally distributed with a mean of 280
days and a standard deviation of 20 days. Find the probability that
if a sample of 50 pregnancies are chosen at random that the mean
length is less than 270 days.

the lengths of adult blue whales are normally distributed with a
mean of 30 meters and a standard deviation of 6 meters. what is the
probability that a randomly selected adult blue whale would have
the length that differs from the population mean by less than 3
meters?

The weights (in pounds) of adult (18 years or older) males in
the US are approximately normally
distributed with mean μ = 187 and standard deviation σ =
21.2.
What is the probability that a randomly chosen adult male in the
US will weigh at most 212?
What is the probability that the mean weight of a random sample
of 23 adult males in the US will be at least 177 pounds?

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