Question

Suppose we wanted to test whether or not the average SAT score at Brown University was significantly different from the average SAT score at Wassamatta University. Taking a random sample, we manage to get the following 7 scores from Brown students:

Brown University: 1540 1600 1540 1480 1390 1340 1400

and the following 9 scores from Wassamatta students:

Wassamatta University: 1440 1380 1390 1240 1400 1430 1240 1400 1200

Assuming that the variance in SAT scores for students at Brown and students at Wassamatta are the same, and assuming that both samples are taken from normal populations, test, at the α= 0.05 significance level, whether or not there is a significant difference in the average SAT score between these two schools.

Answer #1

The SAT is a standardized test used by many colleges and
universities in their admission decisions. More than one million
high school students take the SAT each year. A perfect score of all
three parts of the SAT is 2400. The data set contains a sample of
SAT scores for a graduating high school class. Using Excel, Show
your work.
SAT Scores
1665
1275
1650
1590
1475
1490
1525
2135
1560
1880
1680
1560
1355
1280
1150
1420
1440
940...

Do students tend to improve their SAT math score the second time
they take the test? A random sample of four students who took the
test twice provided the given scores.
Student
1
2
3
4
First Score
450
520
720
600
Second Score
440
600
720
630
Assuming that the change in SAT Math score (second score—first
score) for the population of all students taking the test twice is
Normally distributed with mean μ , are we convinced that...

Five years ago, the average math SAT score for students at one
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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...

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hoping for when it started allowing applicants to opt out of
submitting their standardized test scores...

Use Excel) A recent report criticizes SAT-test-preparation
providers for promising big score gains without any hard data to
back up such claims (The Wall Street Journal, May 20,
2009). Suppose eight college-bound students take a mock SAT,
complete a three-month test-prep course, and then take the real
SAT. Let the difference be defined as Score on Mock SAT minus Score
on Real SAT. Use Table 2.
Student
Score on Mock SAT
Score on Real SAT
1
1,868
1,852
...

A principal claims the students in his school have above-average
test scores for a particular standardized test.
A sample of 50 students from his school were found to have an
average test score of 77.2.
The population mean for test scores for this particular test is
75, with a standard deviation of 9 (so we can assume that the
population test score is normally distributed).
Set up a hypothesis test to determine whether this principal’s
claim is correct (use alpha...

A popular, nationwide standardized test taken by high-school
juniors and seniors may or may not measure academic potential, but
we can nonetheless examine the relationship between scores on this
test and performance in college. We have chosen a random sample of
fifteen students just finishing their first year of college, and
for each student we've recorded her score on this standardized test
(from 400 to 1600 ) and her grade point average (from 0 to 4 ) for
her first...

Please answer both!!
Suppose the national average dollar amount for an
automobile insurance claim is $805.66. You work for an agency in
Michigan and you are interested in whether or not the state average
is less than the national average. The hypotheses for this scenario
are as follows: Null Hypothesis: μ ≥ 805.66, Alternative
Hypothesis: μ < 805.66. You take a random sample of claims and
calculate a p-value of 0.02 based on the data, what is the
appropriate conclusion?...

QUESTION 7
Suppose the observational units in a study are the patients
arriving at an emergency room on a given day, 11 Nov 2019. For the
following indicate whether it can legitimately be considered a
variable or not:
Whether or not men have to wait longer than women
yes
no
5 points
QUESTION 8
A survey company published results of a survey stating that 56%
of the 600 randomly sampled residents planned to set off
firereworks on July...

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