Some IQ tests are standardized to a Normal distribution with
mean 100 and standard deviation 16. (a) [5 points] What proportion
of IQ scores is between 95 and 105? (b) [5 points] What is the 80th
percentile of the IQ scores? (c) [5 points] A random sample of 10
candidates are about to take the test. What is the probability that
at least half of them will score between 95 and 105? (d) [5 points]
A random sample of 10...
12. A standard IQ test has a normal distribution with a mean of
100 with a standard deviation of 15.
a) A score of 145 or higher on this exam is categorized in the
gifted realm. What percent of people would be considered gifted?
___________
b) The people who score in the lowest 5% of the standard IQ test
are considered to have “mental retardation”. What cutoff score is
used to qualify for this benchmark? ___________
Problem 8
IQ scores have a normal distribution with mean µ = 100 and standard
deviation σ = 15.
(A) Find the probability that the IQ score of a randomly selected
person is smaller than 107.
(B) Find the 95th percentile of IQ scores.
IQ scores in a large population have a normal
distribution with mean=100 and standard deviation=15. What is the
probability the sample mean for n=2 will be 121 or higher?
(I understand the z score equals 1.98,could you please
explain to me how the final answer is equal to
0.0239?thanks.)
Also, why do we use 1 and subtract 0.9761 to get 0.0239? Where does
0.9761 come from?
1)In a distribution of IQ scores, where the mean is 100 and the
standard deviation is 15........
-Compute the z score for an IQ of 100
-Compute the z score for an IQ of 107
2)For all US women, assuming a normal distribution - Mean height
is 64 inches ; Standard deviation is 2.4 inches
-What percentage of US women are 60 inches or shorter?
-What percentage of US women have a height between 64 and 67
inches?
A population has a normal distribution with a mean of 51.4 and a
standard deviation of 8.4. Assuming n/N is less than or equal to
0.05, the probability, rounded to four decimal places, that the
sample mean of a sample size of 18 elements selected from this
population will be more than 51.15 is?
A population has a normal distribution with a mean of 51.5 and a
standard deviation of 9.6. Assuming , the probability, rounded to
four decimal places, that the sample mean of a sample of size 23
elements selected from this populations will be more than 51.15
is:
Draw 100 numbers from a normal distribution with a mean of **7**
and standard deviation of **4**, and store the output in an object
called "x1":
(R STUDIO)
Now assume you have a normal distribution with a mean of 100 and
standard deviation of 15 that is composed of 2000 participants.
Please answer the following questions,
what is the probability of the following? (please with
steps)
a. A score being between 100 and 115
b. A score greater than 130
c. A score less than 70
d. A score either greater than 130 or less than 70
e. A score either greater the 100 or less than 85
#1. The Wechsler IQ test has a mean of 100 with a standard
deviation of 15.
a) What percentage of the population has a W-IQ score below
110?
b) What percentage of the population has a W-IQ score above
75?
c) What percentage of the population has a W-IQ score between 80
and 120?
d) What percentage of the population has a W-IQ score between 90
and 105?