Question

A certain high school requires all students to take the SAT. The SAT MATH scores of students at this high school had a normal distribution with a mean of 537.8 points and standard deviation of 25 points.

In a Simple Random Sample of 31 students from this high school, what is the probability that the sample mean x¯ is 542 or higher?

Commute times (in minutes) for drivers in a large city have a mean of 58.3 minutes and a standard deviation of 17.55 minutes. Use this information to answer the followinq questions.

- Suppose you have a simple random sample of 37 drivers in this city. The probability that the average commute time (for the drivers in your sample) will be between 59 minutes and 62 minutes is
- Suppose you have a simple random sample of 37 drivers in this city. The probability that the average commute time (for the drivers in your sample) will be less than one hour (60 minutes) is

Answer #1

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students and a population standard deviation of 125. A
random sample of 100 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.
From the...

The average math SAT score is 519 with a standard deviation of
111. A particular high school claims that its students have
unusually high math SAT scores. A random sample of 45 students from
this school was selected, and the mean math SAT score was 563. Is
the high school justified in its claim? Explain.
____because the z-score ( ) ______since ______within the
range of a usual event, namely within __________of the mean of the
sample means.
(Round to two...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 475 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is lower than the national mean SAT-M score. Based...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 520 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is higher than the national mean SAT-M score. Based...

If a school district takes a random sample of 81 Math SAT scores
and finds that the average is 486, and knowing that the population
standard deviation of Math SAT scores is intended to be 100. Find a
99% confidence interval for the mean math SAT score for this
district.
? ≤ μ≤ ≤
If a school district takes a random sample of 81 Math SAT scores
and finds that the average is 486, and knowing that the population
standard...

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...

Five years ago, the average math SAT score for students at one
school was 475. A teacher wants to perform a hypothesis test to
determine whether the mean math SAT score of students at the school
has improved. The mean math SAT score for a random sample of 40
students from this school is 469 with a standard deviation of 73.
Do the data provide sufficient evidence to conclude that the mean
math SAT score for students at the school...

A certain test preparation course is designed to improve
students' SAT Math scores. The students who took the prep course
have a mean SAT Math score of 504 with a standard deviation of
38.5, while the students who did not take the prep course have a
mean SAT Math score of 492 with a standard deviation of 43.5. The
SAT Math scores are taken for a sample of 78 students who took the
prep course and a sample of 85...

. A certain test preparation course is designed to improve
students' SAT Math scores. The students who took the prep course
have a mean SAT Math score of 504 with a standard deviation of
38.5, while the students who did not take the prep course have a
mean SAT Math score of 492 with a standard deviation of 43.5. The
SAT Math scores are taken for a sample of 78 students who took the
prep course and a sample of...

In a large population of high school students 20% have
experienced math anxiety. you take a random sample of 10 students
from this population. the standard deviation of the number of
students in the sample who have experienced math anxiety is

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