Question
In: Statistics and Probability
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds.
Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places.
1. What is the probability that a randomly chosen 10 year old is shorter than 57 inches?
2. What is the probability that a randomly chosen 10 year old is between 50 and 52 inches?
3. If the tallest 15% of the class is considered very tall, what is the height cutoff for very tall? inches
4. What is the height of a 10 year old who is at the 39 th percentile? inches
5. In order to ride the Great Chase ride at Six Flags America, a person must be no shorter than 42 inches. What proportion of 10 year olds cannot go on this ride?
Solutions
orchestra answered 1 year agoRelated Solutions
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds. Heights of 10 year
olds, regardless of gender, closely follow a normal distribution
with mean 55 inches and standard deviation 6 inches. Round all
answers to four decimal places.
1. What is the probability that a randomly chosen 10 year old is
shorter than 57 inches?
2. What is the probability that a randomly chosen 10 year old is
between 50 and 52 inches?
3. If the tallest 15% of the class is considered very...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds. Heights of 10 year olds, regardless of
gender, closely follow a normal distribution with mean 55 inches
and standard deviation 6 inches. Round all answers to two decimal
places.
1. What is the probability that a randomly chosen 10 year old is
shorter than 48 inches?
2. What is the probability that a randomly chosen 10 year old is
between 50 and 51 inches?
3. If the shortest 10% of the class is considered very...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds. Heights of 10 year
olds, regardless of gender, closely follow a normal distribution
with mean 55 inches and standard deviation 6 inches. Round all
answers to two decimal places.
1. What is the probability that a randomly chosen 10 year old is
shorter than 57 inches?
2. What is the probability that a randomly chosen 10 year old is
between 61 and 63 inches?
3. If the shortest 15% of the class is considered very...
4.44 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow...
4.44 Heights of 10 year olds: Heights of 10
year olds, regardless of gender, closely follow a normal
distribution with mean 55 inches and standard deviation 6
inches.
(a) What is the probability that a randomly chosen 10 year old is
shorter than 48 inches?
____ (please round to four decimal places)
(b) What is the probability that a randomly chosen 10 year old is
between 60 and 65 inches?
(please round to four decimal places)
(c) If the tallest...
Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55...
Heights of 10 year olds, regardless of gender, closely follow a
normal distribution with mean 55 inches and standard deviation 6
inches. Round all answers to two decimal places.
1. What is the probability that a randomly chosen 10 year old is
shorter than 56 inches?
2. What is the probability that a randomly chosen 10 year old is
between 61 and 66 inches?
3. If the tallest 15% of the class is considered very tall, what
is the height...
Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 52...
Heights of 10 year olds, regardless of gender, closely follow a
normal distribution with mean 52 inches and standard deviation 8
inches.
(a) What is the probability that a randomly chosen 10 year old
is shorter than 49 inches?
(b) What is the probability that a randomly chosen 10 year old is
between 45 and 63 inches?
(c) If the tallest 14% of the class is considered very tall, what
is the height cutoff for very tall? inches
(d) Find...
Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55...
Heights of 10 year olds, regardless of gender, closely follow a
normal distribution with mean 55 inches and standard deviation 6
inches. Round all answers to two decimal places.
1. What is the probability that a randomly chosen 10 year old is
shorter than 66 inches?
2. What is the probability that a randomly chosen 10 year old is
between 59 and 64 inches?
3. If the shortest 5% of the class is considered very tall, what
is the height...
1.) Suppose heights of two-year-olds are normally distributed with a mean of 30 inches and a...
1.) Suppose heights of two-year-olds are normally distributed
with a mean of 30 inches and a standard deviation of 3.5
inches.
a) What is the probability that one two-year-old will be shorter
than 28 inches?
b) If random samples of size n = 40 two-year-olds are selected,
what is the approximate shape, mean, and standard deviation of the
sampling distribution of sample means?
c) What is the probability that the sample mean of these 40
two-year-olds will be shorter than...
A survey of several 8 to 10 year olds recorded the following amounts spent on a...
A survey of several 8
to 10 year olds recorded the following amounts spent on a trip to
the mall:
$11.83,$24.11,$19.93,$15.34
Construct the 99%
confidence interval for the average amount spent by 8 to 10 year
olds on a trip to the mall. Assume the population is approximately
normal.
A survey of several 10 to 13 year olds recorded the following amounts spent on a...
A survey of several 10 to 13 year olds recorded the following
amounts spent on a trip to the mall:
$15.64, $12.62, $26.06
Construct the 95% confidence interval for the average amount
spent by 10 to 13 year olds on a trip to the mall.
Assume the population is approximately normal.
Step 1 of 4:
Calculate the sample mean for the given sample data. Round your
answer to two decimal places.
Step 2 of 4:
Calculate the sample standard deviation for...
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