Question

) The mean ACT mathematics score for 60 randomly selected high school students is 20.6. Assume the population standard deviation is 5.4. The mean ACT science score for 75 other randomly selected high school students is 20.8. Assume the population standard deviation is 5.6. At ? = 0.01, can you reject the claim that the ACT math and ACT science scores are equal? a.) Verify that 1.) Both population standard deviations are known. _____ 2.) The samples taken are random. _____ 3.) The samples are independent._____ 4.) The populations are known to be normally distributed or both sample sizes are greater than or equal to 30. _____

Answer #1

The mean test score for 48 male high school students is 23.6 and
the population standard deviation is 4.6
The mean test score for 58 female high school students is 20.6
and the population standard deviation is 4.2 At α=0.01,
can you reject the claim that male and female high school
students have equal test scores?

A high school math teacher claims that students in her class
will score higher on the math portion of the ACT then students in a
colleague’s math class. The mean ACT math score for 49 students in
her class is 22.1 and the standard deviation is 4.8. The mean ACT
math score for 44 of the colleague’s students is 19.8 and the
standard deviation is 5.4. At α = 0.05, can the teacher’s claim be
supported?
a. Write down the...

6.18 ACT scores of high school seniors. The
scores
of your state’s high school seniors on the ACT
college entrance examination in a recent year had
mean m 5 22.3 and standard deviation s 5 6.2. The
distribution of scores is only roughly Normal.
(a) What is the approximate probability that a single
student randomly chosen from all those taking the test
scores 27 or higher?(b) Now consider an SRS of 16 students who took
the
test. What are the...

A
college entrance exam company determined that a score of 2424 on
the mathematics portion of the exam suggests that a student is
ready for college-level mathematics. To achieve this goal, the
company recommends that students take a core curriculum of math
courses in high school. Suppose a random sample of 150150 students
who completed this core set of courses results in a mean math score
of 24.624.6 on the college entrance exam with a standard deviation
of 3.43.4. Do...

High school students are faced with taking the ACT or
the SAT tests to measure their readiness to start college.
Quantitative SAT scores have a mean of 1525 and a standard
deviation of 305 while quantitative ACT scores have a mean of 25.1
and a standard deviation of 6.
a. A student takes the ACT and receives a score of 35
while another takes the SAT and receives a score of 2202. Which
student has scored higher relatively speaking?
b....

TIMSS 2003 (Trends in International Mathematics and Science
Study) focused on the mathematics and science achievement of
eighth-graders throughout the world. A total of 45 countries
(including the United States) participated in the study. The mean
math exam score for U.S. students was 514 with a standard deviation
of 92. Assume the scores are normally distributed and a sample of
153 students is taken. (Give your answers correct to four decimal
places.)
(a) Find the probability that the mean TIMSS...

3. High school students are faced with taking the ACT or the SAT
tests to measure their readiness to start college. Quantitative SAT
scores have a mean of 1509 and a standard deviation of 312 while
quantitative ACT scores have a mean of 21.1 and a standard
deviation of 5.
a. A student takes the ACT and receives a score of
35 while another takes the SAT and receives a score of 2202. Which
student has scored higher relatively...

A sample of 14 randomly selected students have a sample mean
score of 27.6 with a sample standard deviation of 5.1 on a
placement test. Construct a 95% confidence interval for the mean
score, !, of all students taking the test.

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...

In a recent year, grade 6 Michigan State public school students
taking a mathematics assessment test had a mean score of 303.1 with
a standard deviation of 36. Possible test scores could range from 0
to 1000. Assume that the scores were normally distributed.
a. Find the probability that a student had a score higher than
295.
b. Find the probability that a student had a score between 230
and 305.
c. What is the highest score that would still...

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