Question

3) A school administrator claims that the standard deviations of math assessment scores for 8th grade students are the same in Districts 3 and 4. A random sample of 12 scores in District 3 had a standard deviation of 36.8 points and a random sample of 14 scores in District 4 had a standard deviation of 32.5 points. At ? = 0.10, what can be said about the administrator’s claim? Assume the populations are normally distributed and complete all seven steps.

Answer #1

A random sample of 86 eighth grade students’ scores on a
national mathematics assessment test has a mean score of 294. 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 285. Assume the population standard deviation is 35. At the 3
% level of significance, is there enough evidence to support the
administrator’s claim?

An administrator claims that the average test scores between two
instructors at a school are different. In a sample of 28 students
from the first instructor’s class, the average test score was 32
out of 50 points with a standard deviation of 5 points. In a sample
of 33 students from the second instructor’s class, the average was
29 out of 50 with a standard deviation of 6 points. Assuming both
populations are normally distributed and the population variances
are...

26. The scores on a standardized math test for 8th grade
children form a normal distribution with a mean of 80 and a
standard deviation of 10. (8 points) a. What proportion of the
students have scores less than X = 83? b. If samples of n = 6 are
selected from the population, what proportion of the samples have
means less than M = 83? c. If samples of n = 30 are selected from
the population, what proportion...

If a school district takes a random sample of 81 Math SAT scores
and finds that the average is 486, and knowing that the population
standard deviation of Math SAT scores is intended to be 100. Find a
99% confidence interval for the mean math SAT score for this
district.
? ≤ μ≤ ≤
If a school district takes a random sample of 81 Math SAT scores
and finds that the average is 486, and knowing that the population
standard...

(1 point) Scores on a national 8th grade reading test are
normally distributed with a mean of 130 and a standard deviation of
20. Find: (a) the probability that a single test score selected at
random will be greater than 158: 0.080756659 (b) the probability
that a random sample of 48 scores will have a mean greater than
132: 0.30724 (c) the probability that a random sample of 45 scores
will have a mean greater than 132: (d) the probability...

A math teacher claims that she has developed a review course
that increases the scores of students on the math portion of a
college entrance exam. Based on data from the administrator of the
exam, scores are normally distributed with
mu equalsμ=517517.
The teacher obtains a random sample of
18001800
students, puts them through the review class, and finds that
the mean math score of the
18001800
students is
523523
with a standard deviation of
116116.
Complete parts(a) through (d)...

A random sample of 84 eighth grade students' scores on a
national mathematics assessment test has a mean score of 294. 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 285. Assume that the population standard deviation is 31. At α
= 0.10, is there enough evidence to support the administration's
claim?
Write out the hypotheses statements below and identify the
parameter of interest.
Ho...

The Trial Urban District Assessment (TUDA) is a government
sponsored study of student achievement in large urban school
districts. TUDA includes a reading test score from 0 to 500, with a
score of 254 considered a “basic” reading level and a score of 292
considered “proficient”. Reading test scores for a random sample of
80 eighth graders in the Dallas school district had a sample mean
of 259, with a sample standard deviation of 37.4.
a) Based on this sample...

A certain high school requires all students to take the SAT. The
SAT MATH scores of students at this high school had a normal
distribution with a mean of 537.8 points and standard deviation of
25 points.
In a Simple Random Sample of 31 students from this high school,
what is the probability that the sample mean x¯ is 542 or
higher?
Commute times (in minutes) for drivers in a large city have a
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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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