Question
In: Statistics and Probability
The random variable x is normally distributed with a mean of 68 and a standard deviation...
The random variable x is normally distributed with a mean of 68 and a standard deviation of 4. Find the interquartile range (IQR)? Use R.
Solutions
Expert Solution
========================================CODE======================================
# First to find out Third Quartile with mean 68 and Standard deviation 4
Q3=qnorm(p = 0.75 ,mean = 68 ,sd =
4) # Third Quartile
Q3
Q1=qnorm(p = 0.25 ,mean = 68 ,sd = 4) # First
Quartile
Q1
IQR =Q3
-Q1
# Inter quartile range
IQR
======================================OUTPUT========================================
> Q3=qnorm(p = 0.75 ,mean = 68 ,sd = 4) # Third
Quartile
> Q3
[1] 70.69796
>
> Q1=qnorm(p = 0.25 ,mean = 68 ,sd = 4) # First Quartile
> Q1
[1] 65.30204
>
> IQR =Q3
-Q1
# Inter quartile range
> IQR
[1] 5.395918
orchestra answered 1 year agoRelated Solutions
A random variable is normally distributed with a mean of 24 and a standard deviation of...
A random variable is normally distributed with a mean of 24 and
a standard deviation of 6. If an observation is randomly selected
from the distribution,
a. What value will be exceeded 5% of the time?
b. What value will be exceeded 90% of the time?
c. Determine two values of which the smaller has 20% of the
values below it and the larger has 20% of the values above it.
d. What value will 10% of the observations be...
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation...
Assume the random variable X is normally distributed with mean μ
= 50 and standard deviation σ = 7. Compute the probability.
P(35<X<63)
The variable x is normally distributed with a mean of 500 and a standard deviation of...
The variable x is normally distributed with a mean of 500 and a
standard deviation of 50. Find a) The 60th percentile. b)The 35th
percentile. c)The x value which exceeds 80% of all x values. d)The
x value that is exceeded by 80% of all x values.
A random variable is normally distributed. It has a mean of 245 and a standard deviation...
A random variable is normally distributed. It has a mean of 245
and a standard deviation of 21. a.) If you take a sample of size
10, can you say what the shape of the distribution for the sample
mean is? Why? b.) For a sample of size 10, state the mean of the
sample mean and the standard deviation of the sample mean. c.) For
a sample of size 10, find the probability that the sample mean is
more...
A random variable is normally distributed. It has a mean of 225 and a standard deviation...
A random variable is normally distributed. It has a mean of 225
and a standard deviation of 26.
If you take a sample of size 11, can you say what the shape of
the sampling distribution for the sample mean is? Why?
If the sample size is 11, then you can't say anything about the
sampling distribution of the sample mean, since the population of
the random variable is not normally distributed and the sample size
is less than 30....
A random variable is normally distributed. It has a mean of 245 and a standard deviation...
A random variable is normally distributed. It has a mean of 245
and a standard deviation of 21. I just need G.
a.)If you take a sample of size 10, can you say what the shape
of the distribution for the sample mean is? Why?
b.) For a sample of size 10, state the mean of the sample mean
and the standard deviation of the sample mean.
c.) For a sample of size 10, find the probability that the
sample...
A random variable is normally distributed. It has a mean of 245 and a standard deviation...
A random variable is normally distributed. It has a mean of 245
and a standard deviation of 21.
e.) For a sample of size 35, state the mean of the sample mean
and the standard deviation of the sample mean.
f.) For a sample of size 35, find the probability that the
sample mean is more than 241.
g.) Compare your answers in part c and f. Why is one smaller
than the other?
Assume that the random variable X normally distributed, with mean 90 and standard deviation 15. Compute...
Assume that the random variable X normally distributed, with mean
90 and standard deviation 15. Compute the probability
P(X>102).
Suppose a random variable X is normally distributed with mean 65.9 and standard deviation 9.5. Answer...
Suppose a random variable X is normally distributed
with mean 65.9 and standard deviation 9.5. Answer the following
questions:
P(42.15 < X < 77.30) = [round to 4
decimal places]
Tries 0/5
P(X ≤ 73.50) = [round to 4 decimal
places]
Tries 0/5
P(X = 77.30) = [round to 4 decimal
places]
Tries 0/5
Suppose a is such that: P(X ≤
a) = 0.49. Then a = [round to 2 decimal
places]
Tries 0/5
What is the IQR (inter-quartle range)...
Suppose a random variable X is normally distributed with mean 65.3 and standard deviation 9.4. Answer...
Suppose a random variable X is normally distributed with mean
65.3 and standard deviation 9.4. Answer the following
questions:
1. P(47.44 < X < 76.58) = [round to 4 decimal places]
2. P(X ≤ 46.50) = [round to 4 decimal places]
3. P(X = 76.58) = [round to 4 decimal places]
4. Suppose a is such that: P(X ≤ a) = 0.39. Then a = [round to 2
decimal places]
5. What is the IQR (inter-quartle range) of X? [round...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Suppose a survey revealed that 19% of 494 respondents said they had in the past sold...
- Topic: Choose a company which are you are starting, and a main product or service that...
- 4. Why did the United States and the Soviet Union find themselves in a “Cold War”...
- The Facts: Ann and Bill decided to start a coffee shop. They agreed Bill would provide...
- MARGI sells different types of wine. Customers place orders to the most popular “Summer Wine” at...
- A firm's bonds have a maturity of 8 years with a $1,000 face value, have an...
- Naive reasoning suggests that a string theory vacuum with cosmological constant Lambda1 is always unstable as...
ADVERTISEMENT