Question

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: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If 9 of the men are randomly selected, find the probability that their mean score is at least 557.2. P(M > 557.2) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answer #1

It is given that mean = 499 and standard deviation = 97

(A) P(more than 557.2)

using normalcdf(lower bound, upper bound, mean, standard deviation)

setting lower bound = 557.2, upper bound = infinity or E99, mean = 499 and standard deviation = 97

= normalcdf(557.2,E99,499,97)

**= 0.2743 (rounded to 4 decimals)**

(B) P(more than 557.2 for a sample of 9)

using normalcdf(lower bound, upper bound, mean, standard deviation)

setting lower bound = 557.2, upper bound = infinity or E99, mean = 499 and standard deviation = 97/sqrt{9}

= 97/3

= 32.33

setting the values, we get

= normalcdf(557.2,E99,499,32.33)

**= 0.0359(rounded to 4 decimals)**

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 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 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 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 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...

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...

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...

Company XYZ know that replacement times for the DVD players it
produces are normally distributed with a mean of 5.8 years and a
standard deviation of 0.9 years.
Find the probability that a randomly selected DVD player will have
a replacement time less than 4 years?
P(X < 4 years) =
Enter your answer accurate to 4 decimal places. Answers obtained
using exact z-scores or z-scores rounded to 3
decimal places are accepted.
If the company wants to provide a...

Company XYZ know that replacement times for the DVD players it
produces are normally distributed with a mean of 7.8 years and a
standard deviation of 2.3 years.
Find the probability that a randomly selected DVD player will have
a replacement time less than 3 years?
P(X < 3 years) =
Enter your answer accurate to 4 decimal places. Answers obtained
using exact z-scores or z-scores rounded to 3
decimal places are accepted.
If the company wants to provide a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 8 minutes ago

asked 16 minutes ago

asked 16 minutes ago

asked 34 minutes ago

asked 49 minutes ago

asked 50 minutes ago

asked 51 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago