Question

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 on the given information, use the appropriate formula and the provided Standard Normal Table (Z table). Determine the p-value for this one-sided hypothesis test. You will need to calculate the test statistic first. Enter the p-value in the space below as a decimal rounded to four decimal places:

Answer #1

Solution :

= 520

= 520

s = 120

n = 100

This is the right tailed test .

The null and alternative hypothesis is

H0 : = 500

Ha : > 500

Test statistic = t

= ( - ) / s / n

= (520-500) /120 / 100

= 1.667

p(t > 1.667) = 1-P (t<1.667 ) =0.0493

P-value = 0.0493

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 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...

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...

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 507 while the students who did not
take the prep course have a mean SAT Math score of 501. Assume that
the population standard deviation of the SAT Math scores for
students who took the prep course is 45.7 and for students who did
not take the prep course is 32.1 The SAT...

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 507 while the students who did not
take the prep course have a mean SAT Math score of 501. Assume that
the population standard deviation of the SAT Math scores for
students who took the prep course is 45.7 and for students who did
not take the prep course is 32.1 The SAT...

Math SAT: The math SAT test was originally
designed to have a mean of 500 and a standard deviation of 100. The
mean math SAT score last year was 515 but the standard deviation
was not reported. You read in an article for an SAT prep course
that states in a sample of 87 students, the mean math score was
534, but they did not disclose the standard deviation. Assume the
population standard deviation (σ) for all prep course
students...

The scores on the SAT college entrance exam are normally
distributed with a mean Math score of 480 and a standard deviation
of 100. If you select 50 students, what is the probability that
their mean Math score is more than 520. You MUST show what went
into the calculator along with your final answer rounded correctly
to 3 significant decimal places.

Math SAT: The math SAT test was originally
designed to have a mean of 500 and a standard deviation of 100. The
mean math SAT score last year was 515 but the standard deviation
was not reported. You read in an article for an SAT prep course
that states in a sample of 75 students, the mean math score was
546, but they did not disclose the standard deviation. Assume the
population standard deviation (σ) for all prep course
students...

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...

Scores on the SAT Mathematics test are believed to be Normally
distributed. The scores of a simple random sample of five students
who recently took the exam are 550, 620, 710, 520, and 480. What is
a 95% confidence interval for µ, the population mean score on the
SAT Math test?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 24 minutes ago

asked 24 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 43 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago