Question

In a study of Math SAT scores done in 2010, the investigators computed the average Math SAT score ( A i )in each of the 50 states and D.C. and the percentage ( P i )of high school seniors in each state that took the test that year. They found that the correlation between the variables A and P was r = -0.77.

(a) Does this mean that the the test scores were better on
average in states where fewer a lower percentage of students took
the test? Answer * yes* or

(b) The average Math SAT score in NY was 515 in 2010, while in
Montana, the average score was 603. Does this mean that Montana
does a better job preparing students for the Math SAT exam than NY
state? Answer * yes* or

Mark the statements that are correct.

A. The correlation between the average weight (of adults) and the average height (of adults) in each state (for all 50 states and D.C.) is likely to be higher than the correlation between the weights and heights of individual adults in the U.S.

B. The correlation between the heights and weights of boys at age 6 is probably lower than the correlation between their heights and weights at age 21.

C. In a study of male college students, the correlation between weight of the student and the amount of weight that the student could lift was r ≈ 0.66.

This means that a student can grow stronger by increasing his weight.

D. A group of 8 year olds were given a basic math skills test at the beginning of the school year and then again at the end of the school year. The students who did poorly on the first test, did better on the second test, on average, than they did on the first test. Similarly, the students who did well on the first test, did not do as well on the second test.

This is likely because the weaker students got more help with math throughout the school year, while the stronger students were left more to their own devices.

E. The regression equation for predicting the weight a student could lift, based on the student's weight is

y^i=32+0.7xi,

where xiis the weight of the ithstudent and yiis the amount that the ithstudent can lift, both measured in pounds.

This means that, on average, students who weigh 160 pounds can lift 7 more pounds than students who weigh 150 pounds.

F. The correlation between girls' heights at age 6 and their heights at age 18 is probably smaller than the correlation between girls' heights at age 16 and their heights at age 18.

Answer #1

we have given that the correlation between the variables A and P was r = -0.77.

(a) Does this mean that the the test scores were better on average in states where fewer a lower percentage of students took the test\

yes it is true . this is because of there is strong negative correlation between the average Math SAT score ( A i )in each of the 50 states and D.C. and the percentage ( P i )of high school seniors in each state that took the test that year.

(b) The average Math SAT score in NY was 515 in 2010, while in Montana, the average score was 603. Does this mean that Montana does a better job preparing students for the Math SAT than NY state?

since the data not provided for part b so w cannot sau anything without data

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states
and D.C. and the percentage ( Pi ) of high school
seniors in each state that took the test that year. They found that
the correlation between the variables A and P was r = -0.77.
(a) Does this mean that the test scores were better on average
in states where fewer a lower...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states and D.C.
and the percentage ( Pi )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the test scores were better on average
in states where fewer a lower percentage...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( A i )in each of the 50 states
and D.C. and the percentage ( P i )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the the test scores were better on
average in states where fewer...

Suppose that the national average for the math portion of the
College Board's SAT is 512. The College Board periodically rescales
the test scores such that the standard deviation is approximately
100. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
If required, round your answers to two decimal places. If your
answer is negative use “minus sign”.
(a)
What percentage of students have an SAT math score greater than
612?
%...

Suppose that the national average for the math portion of the
College Board's SAT is 514. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores. If required, round
your answers to two decimal places. (a) What percentage of students
have an SAT math score greater than 589? % (b) What percentage of
students have an SAT...

Suppose that the national average for the math portion of the
College Board's SAT is 547. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores.
If required, round your answers to two decimal places.
(a)
What percentage of students have an SAT math score greater than
622?
%
(b)
What percentage of students have an 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 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...

Suppose that the national average for the math portion of the
College Board's SAT is 515. The College Board periodically rescales
the test scores such that the standard deviation is approximately
100. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
If required, round your answers to two decimal places. If your
answer is negative use “minus sign”.
(a)
What percentage of students have an SAT math score greater than
615?
(b)...

. 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...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 21 minutes ago

asked 25 minutes ago

asked 25 minutes ago

asked 53 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago