Question

Scores for a common standardized college aptitude test are
normally distributed with a mean of 515 and a standard deviation of
110. Randomly selected students are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
course has no effect.

If 1 of the students is randomly selected, find the probability
that their score is at least 581.7.

P(*X* > 581.7) =

Enter your answer as a number accurate to 4 decimal places.

If 17 of the students are randomly selected, find the probability
that their mean score is at least 581.7.

P(*¯¯¯XX¯* > 581.7) =

Enter your answer as a number accurate to 4 decimal places.

If the random sample of 17 students does result in a mean score of
581.7, is there strong evidence to support the claim that the
course is actually effective?

- No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 581.7.
- Yes. The probability indicates that is is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 581.7.

Answer #1

Scores for a common standardized college aptitude test are
normally distributed with a mean of 506 and a standard deviation of
102. Randomly selected men are given a Prepartion Course before
taking this test. Assume, for sake of argument, that the
Preparation Course has no effect on people's test scores. If 1 of
the men is randomly selected, find the probability that his score
is at least 544.2. P(X > 544.2) = Enter your answer as a number
accurate to...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 484 and a standard deviation of
100. Randomly selected men are given a Prepartion Course before
taking this test. Assume, for sake of argument, that the
Preparation Course has no effect on people's test scores.
If 1 of the men is randomly selected, find the probability that his
score is at least 520.1.
P(X > 520.1) =
Enter your answer as a number accurate to...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 490 and a standard deviation of
103. Randomly selected men are given a Test Preparation Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that
his score is at least 528.7. P(X > 528.7) = Enter your answer as
a number accurate to 4 decimal places.
If...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 492 and a standard deviation of
100. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that
his score is at least 533.3. P(X > 533.3) = ?
Enter your answer as a number accurate to 4 decimal places....

Scores for a common standardized college aptitude test are
normally distributed with a mean of 503 and a standard deviation of
110. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that his
score is at least 553.8.
P(X > 553.8) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 510 and a standard deviation of
98. Randomly selected men are given a Test Preparation Course
before taking this test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 of the men is randomly selected, find the probability that
his score is at least 588.4.
P(X > 588.4) =
If 9 of the men are randomly selected, find the probability...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 499 and a standard deviation of
97. Randomly selected men are given a Test Prepartion Course before
taking this test. Assume, for sake of argument, that the test has
no effect. If 1 of the men is randomly selected, find the
probability that his score is at least 557.2. P(X > 557.2) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 483 and a standard deviation of
101. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that his
score is at least 550.8.
P(X > 550.8) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 493 and a standard deviation of
115. Randomly selected men are given a Test Preparation Course
before taking this test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 of the men is randomly selected, find the probability that his
score is at least 545.2.
P(X > 545.2) =
Answer as a number accurate to 4 decimal places.
If 14...

1.)
A population of values has a normal distribution with μ=188.6and
σ=18.4 You intend to draw a random sample of size n=193
Find the probability that a single randomly selected value is less
than 188.1.
P(X < 188.1) =
Find the probability that a sample of size n=193 is randomly
selected with a mean less than 188.1.
P(x¯ < 188.1) =
Enter your answers as numbers accurate to 4 decimal places.
2.)
Scores for a common standardized college aptitude test...

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