Question

Why the textbook says that SAT scores is a Symmetric (Unimodal) distribution?

Answer #1

SAT score have score scales . A large number of candidates give SAT test and get SAT score . If we calculate the mean , median and mode of this score all of them will fall exactly at same point .

As population size is very large ... That means students scoring less than that mean score is equal to the students scoring more than the mean is exactly same .

So it is symmetric distribution ( oftenly normal distribution ) .

Consider the following statements concerning the normal
distribution.
(i) The normal distribution is symmetric and unimodal.
(ii) The normal distribution is useful for approximating some
discrete distributions.
(iii) Only knowledge of the mean and variance is required to
completely specify a normal distribution.
A.
Only (i) and (ii) are true.
B.
All of (i), (ii) and (iii) are true.
C.
Only (i) is true.
D.
Only (i) and (iii) are true.

Scores on the SAT form a normal distribution with a mean of 1100
and a standard deviation of 150.
Find the range of values that defines the middle 10% of
the distribution of SAT scores.
Please show step by step on how to solve this.

Eleanor scores 680 on the mathematics part of the SAT. The
distribution of SAT math scores in recent years has been Normal
with mean 535 and standard deviation 97.
Gerald takes the ACT Assessment mathematics test and scores 27.
ACT math scores are Normally distributed with mean 22.8 and
standard deviation 2.1.
What is Elanor's standardized score?
Round to 2 decimal places.
What is Gerald's standardized score?
Round to 2 decimal places.
Assuming that both tests measure the same kind...

Scores on the math SAT are normally distributed. A sample of 26
SAT scores had standard deviation s = 90. Someone says that the
scoring system for the SAT is designed so that the population
standard deviation will be less than 100. Do these data provide
sufficient evidence to contradict this claim? Use critical value
method and 0.05 significance level.

Use the normal distribution of SAT critical reading scores for
which the mean is 503 and the standard deviation is 112. Assume the
variable x is normally distributed. (a) What percent of the SAT
verbal scores are less than 650? ( b) If 1000 SAT verbal scores
are randomly selected, about how many would you expect to be
greater than 575?
(a) Approximately nothing% of the SAT verbal scores are less
than 650. (Round to two decimal places as needed.)...

The distribution of SAT scores in math for an incoming class of
business students has a mean of 610 and standard deviation of 20.
Assume that the scores are normally distributed.
Find the probability that an individual’s SAT score is less
than 600.
Find the probability that an individual’s SAT score is between
590 and 620.
Find the probability that an individual’s SAT score is greater
than 650.
What score will the top 5% of students have?

Use the normal distribution of SAT critical reading scores for
which the mean is
510
and the standard deviation is
111
Assume the variable x is normally distributed.
a)
What percent of the SAT verbal scores are less than
625?
(b)
If 1000 SAT verbal scores are randomly selected, about how
many would you expect to be greater than
525?

Use the normal distribution of SAT critical reading scores for
which the mean is 506 and the standard deviation is 125.
Assume the variable x is normally distributed
A)
What percent of the SAT verbal scores are less than
650?
B)
If 1000 SAT verbal scores are randomly selected, about how
many would you expect to be greater than
525?

Use the normal distribution of SAT critical reading scores for
which the mean is 507 and the standard deviation is 111. Assume the
variable x is normally distributed.
left parenthesis a right parenthesis
What percent of the SAT verbal scores are less than 675?
left parenthesis b right parenthesis
If 1000 SAT verbal scores are randomly selected, about how many
would you expect to be greater than 550?
left parenthesis a right parenthesis Approximately
nothing% of the SAT verbal scores...

The SAT scores of entering freshmen at University X have a
N(1200, 90) distribution and the SAT scores of entering freshmen at
University Y have a N(1215, 110) distribution. A random sample of
100 freshmen is sampled from each University, with ?̅the sample
mean of the 100 scores from University X and ?̅the sample mean of
the 100 scores from University Y. The probability that ?̅ is less
than 1190 is

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