Question

**41 female students were randomly sampled. Average SAT
score for selected female students: 1148 out of 1600 points. Sample
standard deviation: 263.7 Average score of all students: 1273. Test
the claim that the female average is less than the average of all
students. Assume sigma is unknown, use alpha = 0.05.**

Answer #1

An instructor wishes to see if the SAT score variance of the 23
randomly selected students in her school is less than 10,000. The
variance for the 23 test scores is 7225. Test the claim at
α=0.05.
The correct CV is _______.
The correct TV is _______.
The correct result summary

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...

Do students who take SAT coaching classes improve their test
scores? Seven students were selected randomly from all of the
students who completed an SAT coaching class in a given year. For
each student, the first SAT score (before the class) and the second
SAT score (after the coaching class) were recorded. The data is
summarized below:
Student 1 2 3 4 5 6 7 First SAT score 920 820 960 920 1060 860
1010 Second SAT score 1030 800...

7. (10 pts.) The national mean score for the SAT is
910. An SAT preparation program claims that, on average, its
graduates score higher than the national average of 910. To test
the program’s claim, 36 students who have applied to take the SAT
are selected randomly for inclusion in the prep course.
anwsers must be in 4 decimal places
a. What are the hypotheses for the test?
b. Let X be the...

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...

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 data set represents the scores of 12 randomly selected
students on the SAT Physics Subject Test. Assume the population
test scores are normally distributed and the population standard
deviation is 103. (Adapted from The College Board) 670 740 630 620
730 650 720 620 640 500 670 760
(a) Find the point estimate of the population mean.
(b) Construct a 90% confidence interval for the population mean.
Interpret the results.
(c) Determine the minimum sample size required to be...

Retaking the SAT: Many high school students
take the SAT's twice; once in their Junior year and once in their
Senior year. In a sample of 50 such students, the score on the
second try was, on average, 35 points above the first try with a
standard deviation of 13 points. Test the claim that retaking the
SAT increases the score on average by more than 30 points. Test
this claim at the 0.05 significance level.
(a) The claim is...

A group of 41 college students from a certain liberal arts
college were randomly sampled and asked about the number of
alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

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...

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