Question

IQs of individuals are normally distributed with a mean of 100 and a standard deviation of 16.

If you sampled students at your college and assumed, as the null hypothesis, that they had the same IQ as the population, then in a random sample of size

(a) n = 25, find P(Y bar < 105)

(b) n = 100, find P(Y bar > 97)

(c) n = 144, find P(101< Y bar < 103)

Answer #1

IQs are known to be normally distributed with mean 100 and
standard deviation 15. In a random sample of 37 people, find the
probability that the average IQ is between 96 and 103.

The Stanford-Binet IQ test has scores that are normally
distributed with a mean of 100. A principal in an elementary school
believes that her students have above average intelligence and
wants verification of her belief. She randomly selects 20 students
and checks the student files. She finds the following IQ scores for
these 20 students. IQ scores: 110,132, 98, 97, 115, 145, 77, 130,
114, 128, 89, 101, 92, 85, 112, 79, 139, 102, 103, 89
a. Compute the sample...

The IQs of 600 applicants to a certain college are approximately
normally distributed with a mean of 115 and a standard deviation of
12. Note that IQs are recorded to the nearest integers.
a) If the college requires an IQ of at least 95, how many of
these students will be rejected on this basis of IQ?
b) What is the minimum IQ of the top 30 applicants?

Intelligence quotients (IQs) are normally distributed with a
mean of 100 and standard deviation of 15. Use the 68-95-99.7 Rule
to determine the percentage of people with IQ below 70.
Group of answer choices
a. 95%
b. 2.5%
c. 68%
d. 5%

iQ scores are normally distributed with a mean of 100 and an sd
of 20. I want to test to see if Snow college students have higher
IQs than the average. I take a RANDOM sample of 40 students and
they average 106 pts. Conduct a full hypothesis test to see if Snow
students have higher IQ's than average

IQ scores are normally distributed with a mean of 100 and a
standard deviation of 16. Assume that many samples of size n are
taken from a large population of people and the mean IQ score is
computed for each sample. a. If the sample size is n=49, find the
mean and standard deviation of the distribution of sample means.
The mean of the distribution of sample mean is?

It is assumed that individual IQ scores (denoted as X) are
normally distributed with mean (µ) and standard deviation (σ) given
as µ = 100 and σ = 15 Use normal table and conversion rule to
answer questions below.
1. Find proportion of individuals with IQ score below 109
2. Find a chance that a randomly selected respondent has the IQ
score above 103
3. What proportion of individuals would be within the interval
(97 ≤ X ≤ 106)
4....

IQ scores are normally distributed with a mean of 105 and a
standard deviation of 15. Assume that many samples of size n are
taken from a large population of people and the mean IQ score is
computed for each sample
a. If the sample size is n equals= 64, find the mean and
standard deviation of the distribution of sample
means.
The mean of the distribution of sample means is: 105
The standard deviation of the distribution of sample...

An educational psychologist at a large university wants to
estimate the mean IQ of the students in tertiary institutes in
Macau. A random sample of 15 students (in universities in Macau)
gives the following data on IQs. From further investigation, the
data are normally distributed.
113
120
103
118
104
98
110
126
88
110
126
112
120
101
115
a. At the 5% significance level, do the data
provide sufficient evidence to conclude that the IQ of tertiary
students...

A) IQ is normally distributed with a mean of
100 and a standard deviation of 15
Suppose an individual is chosen at random:
MENSA is an organization whose members have IQs in the top 3%. What
is the minimum IQ you would need to qualify for membership? (round
to nearest whole number)
B) The height of men is a normally distrubuted
variable with a mean of 68 inches and a standard deviation of 3
inches. **Round answers to ONE decimal...

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