Question
In: Statistics and Probability
In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test...
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 place a student in the bottom 16% of the scores?
Please show all work or if you used a TI 84 please explain the necessary steps to get the answer, thank you for the help :)
Solutions
orchestra answered 1 year agoRelated Solutions
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year...
The undergraduate grade point averages (UGPA) of students
taking an admissions test in a recent year can be approximated by a
normal distribution, as shown in the figure. (a) What is the
minimum UGPA that would still place a student in the top 15% of
UGPAs? (b) Between what two values does the middle 50% of the
UGPAs lie? mean=3.24 SD=0.21
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year...
The undergraduate grade point averages (UGPA) of students
taking an admissions test in a recent year can be approximated by a
normal distribution, as shown in the figure. (a) What is the
minimum UGPA that would still place a student in the top 15% of
UGPAs? (b) Between what two values does the middle 50% of the
UGPAslie? mean- 3.28 Standard deviation- 0.17 A normal curve
labeled mu = 3.28 and sigma = 0.17 is over a horizontal x-axis
labeled...
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year...
The undergraduate grade point averages (UGPA) of students
taking an admissions test in a recent year can be approximated by a
normal distribution, as shown in the figure. (a) What is the
minimum UGPA that would still place a student in the top 10% of
UGPAs? (b) Between what two values does the middle 50% of the
UGPAs lie? u=3.32, o= 0.16
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year...
The undergraduate grade point averages (UGPA) of students
taking an admissions test in a recent year can be approximated by a
normal distribution, as shown in the figure.
(a) What is the minimum UGPA that would still place a student in
the top
55%
of UGPAs?(b) Between what two values does the middle
5050%
of the UGPAs lie?
3.3842.76Grade point
average
mu equals 3.38μ=3.38
sigma equals 0.19σ=0.19
x
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...
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...
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).
In a recent school year in the state of Washington, there were 319,000 high school students....
In a recent school year in the state of Washington, there were
319,000 high school students. Of these, 154,000 were girls and
165,000 were boys. Among the girls, 41,100 dropped out of school,
and among the boys, 10,500 dropped out. A student is chosen at
random. Round the answers to four decimal places.
(a) What is the probability that the student is female?
(b) What is the probability that the student dropped out?
(c) What is the probability that the...
The scores of fourth grade students on a mathematics achievement test follow a normal distribution with...
The scores of fourth grade students on a mathematics achievement
test follow a normal distribution with a mean of 75 and standard
deviation of 4. What is the probability that a single student
randomly chosen form all those taking the test scores 80 or higher?
What is the probability that the sample mean score of 64 randomly
selected student is 80 or higher?
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Consider a buffer system consisting of Benzoic acid (pKa = 4.20) and sodium benzoate, a) Would...
- Decision Variables S T Minimize 1.8S + 2.20T Subject to: Potassium 5S + 8T >= 200...
- A neurologist needs to counsel a stroke victim and her husband about possible outcomes, treatment options,...
- Case Study: Personal Beliefs in the Workplace Don Shakow was a prominent professional who worked in...
- 1: Competency framework usage is the modern best practice in management. What is meant by competency...
- A 19.34 g mixture of sugar (C12H22O11) and table salt (NaCl) is dissolved in 231 g...
- Young and Company claims that its pressurized diving bell will, on average, maintain its integrity to...
ADVERTISEMENT