Question

The national average SAT score is 1070. If we assume a normal distribution with a standard deviation of 90. What is the probability that a randomly selected sample of size 8 has a mean score greater than 1150?

Answer #1

The average teacher’s salary is $45,000. Assume a normal
distribution with standard deviation equal to $10,000. a) What is
the probability that a randomly selected teacher makes greater than
$65,000 a year? b) If we sample 100 teachers’ salaries, what is the
probability that the sample mean will be greater than $65,000?

[5] 3. The
average teacher’s salary is $45,000. Assume a normal distribution
with standard
deviation equal to $10,000.
What is the probability that a randomly selected teacher makes
greater than $65,000 a year?
If we sample 100 teachers’ salaries, what is the probability
that the sample mean will be greater than $65,000?

7. (10 pts.) The national mean score for the SAT is
910. An SAT preparation program claims that, on average, its
graduates score higher than the national average of 910. To test
the program’s claim, 36 students who have applied to take the SAT
are selected randomly for inclusion in the prep course.
anwsers must be in 4 decimal places
a. What are the hypotheses for the test?
b. Let X be the...

Math SAT: Suppose the national mean SAT score
in mathematics was 505. In a random sample of 40 graduates from
Stevens High, the mean SAT score in math was 495, with a standard
deviation of 30. Test the claim that the mean SAT score for Stevens
High graduates is the same as the national average. Test this claim
at the 0.01 significance level.
(a) What type of test is this?
This is a left-tailed test.
This is a right-tailed test. ...

IQ scores are sometimes modeled as a continuous variable. Let X
be the IQ score of a student, to be randomly selected at a
University. Suppose that X has the normal distribution with a mean
of 110 and a standard deviation of 8.
a.) Find the probability that a randomly selected student has an
IQ higher than the national average of 100, but lower than 126.
b.) What IQ score has a probability of 0.01 of a randomly
selected student...

QUESTION 7
Let x be a random variable representing the SAT math
score of student. We may assume that x has a normal
distribution and that the population standard deviation is 25. A
large university claims the average SAT math score for incoming
freshman is 650. You suspect that this claim is too high and decide
to test the claim. You select a random sample of 75 incoming
freshman and find the mean SAT math score to be 645. If
you...

The mean SAT score in mathematics, μ, is 513. The standard
deviation of these scores is 48. A special preparation course
claims that its graduates will score higher, on average, than the
mean score 513. A random sample of 150 students completed the
course, and their mean SAT score in mathematics was 519. At the
0.01 level of significance, can we conclude that the preparation
course does what it claims? Assume that the standard deviation of
the scores of course...

Use the normal distribution of SAT critical reading scores for
which the mean is 511 and the standard deviation is 108. 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?

Use the normal distribution of SAT critical reading scores for
which the mean is 506 and the standard deviation is 112. Assume the
variable x is normally distributed. left parenthesis a right
parenthesis What percent of the SAT verbal scores are less than
600? left parenthesis b right parenthesis If 1000 SAT verbal
scores are randomly selected, about how many would you expect to
be greater than 525?

For all U.S. students nationally who take the SAT, the average
SAT Math score is 500, with a population standard deviation of 125.
A random sample of 10 students entering Whitmer College had an
average SAT Math (SAT-M) score of 530. The sample data can be used
to test the claim that the mean SAT-M score of all Whitmer College
students is different than the national mean SAT-M score. Based on
the given information, have the conditions for this hypothesis...

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