Question

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.

H_{o =}

H_{a. =}

Which hypothesis represents the claim? *Null
Hypothesis*** (H_{0})**
or

Clearly label a sketch with appropriate shading and calculate
**the test statistic.**

Would you reject or fail to reject the null hypothesis? Circle
one: ** Reject H_{0}**or

Write a conclusion in the context of this problem.

Answer #1

Pre-Activity Question: 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 administrator's claim?
Write out the hypotheses statements below and identify the
parameter...

A random sample of 82 eighth grade students' scores on a
national mathematics assessment test has a mean score of 292. 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 30. At
α=0.14 is there enough evidence to support the administration's
claim? Complete parts (a) through (e).
a) Write the claim mathematically and identify H0 and Ha....

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?

A random sample of 78 eighth grade students' scores on a
national mathematics assessment test has a mean score of 286. 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 280. Assume that the population standard deviation is 39. At
alphaequals0.06, is there enough evidence to support the
administrator's claim? Complete parts (a) through (e). (a) Write
the claim mathematically and identify Upper H...

The National Assessment of Educational Progress (NAEP) includes
a mathematical test for eighth-grade students. Scores on the test
range from 0 to 500. Suppose that you give the NAEP test to a
simple random sample of 900 eighth-graders from a large population
in which the scores have mean m = 285 and standard deviation s =
125. The mean will vary if you take repeated samples.
2. (2 points) The sampling distribution of is
approximately Normal. It has mean m =...

The National Assessment of Educational Progress (NAEP) includes
a mathematical test for eighth?grade students. Scores on the test
range from 0 to 500 . Suppose that you give the NAEP test to an SRS
of 1000 eighth?graders from a large population in which the scores
have mean 299 and standard deviation 116 . The mean x ¯ will vary
if you take repeated samples.
The sampling distribution of x ¯ is approximately Normal. It has
mean 299 . What is...

The scores of 12th-grade students on the National Assessment of
Educational Progress year 2000 mathematics test have a distribution
that is approximately Normal with mean μ = 300 and standard
deviation σ = 35.
(a) Choose one 12th-grader at random. What is the probability
that his or her score is higher than 300? Higher than 335?
(b) Now choose an SRS of four 12th-graders and calculate their
mean score x. If you did this many times, what would be the...

Suppose the national mean SAT score in mathematics was 515. In a
random sample of 40 graduates from Stevens High, the mean SAT score
in math was 507, with a standard deviation of 30. Test the claim
that the mean SAT score for Stevens High graduates is the same as
the national average. Test this claim at the 0.05 significance
level.
(a) What type of test is this?
This is a left-tailed test.
This is a right-tailed test.
This is...

Suppose the national mean SAT score in mathematics was 510. In a
random sample of 40 graduates from Stevens High, the mean SAT score
in math was 501, with a standard deviation of 40. Test the claim
that the mean SAT score for Stevens High graduates is the same as
the national average. Test this claim at the 0.10 significance
level. (a) What type of test is this? This is a two-tailed test.
This is a right-tailed test. This is...

The scores of 12th-grade students on the National Assessment of
Educational Progress year 2000 mathematics test have a distribution
that is approximately Normal with mean µ = 292 and standard
deviation s = 32. Choose one 12th-grader at random. What is the
probability (±0.1) that his or her score is higher than 292? Higher
than 388 (±0.001)? Now choose an SRS of 16 twelfth-graders and
calculate their mean score x⎯⎯⎯. If you did this many times, what
would be the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 55 seconds ago

asked 55 seconds ago

asked 1 minute ago

asked 13 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 18 minutes ago

asked 21 minutes ago

asked 25 minutes ago

asked 26 minutes ago

asked 31 minutes ago

asked 31 minutes ago