Question
In: Statistics and Probability
Every few years, the National Assessment of Educational Progress asks a national sample of eighth-graders to...
Every few years, the National Assessment of Educational Progress asks a national sample of eighth-graders to perform the same math tasks. The goal is to get an honest picture of progress in math. Suppose these are the last few national mean scores, on a scale of 0 to 500
. Year 1990 1992 1996 2000 2003 2005 2008 2011 2013
Score 263 266 272 273 277 278 280 286 288
(a) Make a time plot of the mean scores, by hand. This is just a scatterplot of score against year. There is a slow linear increasing trend.
(b) Find the regression line of mean score on time step-by-step.
First calculate the mean and standard deviation of each variable
and their correlation (use a calculator with these functions). Then
find the equation of the least-squares line from these. (Round your
answers to two decimal places.)
ŷ = + x
Draw the line on your scatterplot. What percent of the
year-to-year variation in scores is explained by the linear trend?
(Round your answer to one decimal place.)
%
Solutions
orchestra answered 1 year agoRelated Solutions
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on...
The National Assessment of Educational Progress (NAEP) includes
a mathematics test for eighth‑grade students. Scores on the test
range from 0 to 500 . Demonstrating the ability to use the mean to
solve a problem is an example of the skills and knowledge
associated with performance at the Basic level. An example of the
knowledge and skills associated with the Proficient level is being
able to read and interpret a stem‑and‑leaf plot. In 2015, 136,900
eighth‑graders were in the NAEP...
The National Assessment of Educational Progress (NAEP) is an assessment of student learning that involves samples...
The National Assessment of Educational Progress (NAEP) is an
assessment of student learning that involves samples of students
from every state. Scores are reported in four performance
categories: Below Basic, Basic, Proficient, and Advanced. A
researcher wanted to know if there was a relationship between state
of residence and performance on NAEP. The researcher obtained the
following data from the NAEP website. (You do not have to
do follow up procedure.)
State
Below Basic
Basic
Proficient
Advanced
VA
360
1200...
The National Assessment for Educational Progress (NAEP) is a U.S. government organization that assesses the performance...
The National Assessment for Educational Progress (NAEP) is a
U.S. government organization that assesses the performance of
students and schools at all levels across the United States. The
following table presents the percentage of eighth-grade students
who were found to be proficient in mathematics, and the percentage
who were found to be proficient in reading in each of the ten most
populous states.
State
Percentage proficient in Reading
Percentage proficient in Mathematics
California
60
59
Texas
73
78
New York...
The National Assessment for Educational Progress (NAEP) is a U.S. government organization that assesses the performance...
The National Assessment for Educational Progress (NAEP) is a
U.S. government organization that assesses the performance of
students and schools at all levels across the United States. The
following table presents the percentage of eighth-grade students
who were found to be proficient in mathematics, and the percentage
who were found to be proficient in reading in each of the ten most
populous states.
state
Percentage proficient in reading
percentage proficient in mathematics
California
60
59
Texas
66
78
New york...
The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability...
The National Assessment of Educational Progress (NAEP) gave a
test of basic arithmetic and the ability to apply it in everyday
life to a sample of 840 men 21 to 25 years of age. Scores range
from 0 to 500; for example, someone with a score of 325 can
determine the price of a meal from a menu. The mean score for these
840 young men was x⎯⎯⎯x¯ = 272. We want to estimate the mean score
μμ in the...
As part of the Mathematics Assessment, eighth-graders were asked about the frequency with which they used...
As
part of the Mathematics Assessment, eighth-graders were asked about
the frequency with which they used calculators while taking tests
or quizzes. The results for national public schools were as
follows: never, 28%; sometimes, 51%; and always, 21%. A random
sample of 140 eighth- grade students in a large urban school
district indicated that 30 said never, 78 said sometimes, and 32
said always. At alpha= 0.05, do these proportions differ from the
national report?
Work must be shown with...
A random sample of 83 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 83 eighth grade students' scores on a
national mathematics assessment test has a mean score of 278. This
test result prompts a state school administrator to declare that
the mean score for the state's eighth-graders on this test is more
than 275. Assume that the population standard deviation is 35. At
α=0.08 is there enough evidence to support the administration's
claim? Complete parts (a) through (e).
A is done
B: fine the standardized test statistic z,...
A random sample of 80 eighth grade students' scores on a national mathematics assessment test paper...
A random sample of 80 eighth grade students' scores on a
national mathematics assessment test paper has a mean score of 269.
This test result prompts a state school administrator to declare
that the mean score for the state's eighth graders on this paper
is more than 260 Assume that the population standard deviation is
31. At alphaαequals=0.06 is there enough evidence to support the
administrator's claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify Upper...
A random sample of 77 eighth-grade students' scores on a national mathematics assessment test has a...
A random sample of 77 eighth-grade students' scores on a
national mathematics assessment test has a mean score of 264 with a
standard deviation of 40.
This test result prompts a state school administrator to declare
that the mean score for the state's eighth-graders on this exam is
more than 260.
At a=0.09, is there enough evidence to support the
administration's claim? Complete parts (a) through (e).
answer all 3 for best answer 1.The National Assessment of Educational Progress (NAEP) includes a mathematics...
answer all 3 for best answer
1.The National Assessment of Educational Progress (NAEP)
includes a mathematics test for eighth-graders. Scores on the test
range from 0 to 500. Suppose that you give the NAEP test to an SRS
of 1225 eighth-graders from a large population in which the scores
have mean μ = 281 and standard deviation σ = 129.
The mean x will vary if you take repeated samples.
The sampling distribution of x is approximately Normal. It
has...
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