Question
In: Statistics and Probability
College bound: A national college researcher reported that 64% of students who graduated from high school in...
College bound: A national college researcher reported that 64% of students who graduated from high school in 2012 enrolled in college. Twenty eight high school graduates are sampled. Round the answers to four decimal places.
(a) What is the probability that exactly 16 of them enroll in college?
b) What is the probability that more than 13 enroll in college?
(c) What is the probability that fewer than 10 enroll in college?
(d) Would it be unusual if more than 23 of them enroll in college? If so, why?
Solutions
orchestra answered 2 years agoRelated Solutions
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1. A researcher is interested in finding out if college-bound
high school students tend to smoke cigarettes less than high school
students who are not college-bound. He distributes a questionnaire
and finds that for a group of 57 college-bound students, the mean
number of cigarettes smoked per week is 4.0 with a standard
deviation of 2.0. For 36 non-college-bound students, he finds that
the mean number of cigarettes smoked per week is 9.0 with a
standard deviation of 3.0. A....
A sociologist wishes to estimate the proportion of parents of college-bound high school students who have...
A sociologist wishes to estimate the proportion of parents of
college-bound high school students who have not saved any money for
college. What sample size would she need for the estimate to be
correct within 6 percentage points with 95% confidence
(a) if she uses a similar study from 2015 that indicates that 32%
of parents had saved no money for college?
(b) if she does not use any prior estimates?
A researcher with the Department of Education followed a cohort of students who graduated from high...
A researcher with the Department of Education followed a cohort
of students who graduated from high school in a certain year,
monitoring the progress the students made toward completing a
bachelor's degree. One aspect of his research was to determine
whether students who first attended community college took longer
to attain a bachelor's degree than those who immediately attended
and remained at a 4-year institution. The data in the table
attached below summarize the results of his study. Complete parts...
A researcher with the Department of Education followed a cohort of students who graduated from high...
A researcher with the Department of Education followed a cohort
of students who graduated from high school in a certain year,
monitoring the progress the students made toward completing a
bachelor's degree. One aspect of his research was to determine
whether students who first attended community college took longer
to attain a bachelor's degree than those who immediately attended
and remained at a 4-year institution. The data in the table
attached below summarize the results of his study. Complete parts...
A researcher with the Department of Education followed a cohort of students who graduated from high...
A researcher with the Department of Education followed a cohort
of students who graduated from high school in a certain year,
monitoring the progress the students made toward completing a
bachelor's degree. One aspect of his research was to determine
whether students who first attended community college took longer
to attain a bachelor's degree than those who immediately attended
and remained at a 4-year institution. The data in the table
attached below summarize the results of his study. Complete parts...
The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who...
The College Board National Office recently reported that in
2011–2012, the 547,038 high school juniors who took the ACT
achieved a mean score of 515 with a standard deviation of 129 on
the mathematics portion of the test
(http://media.collegeboard.com/digitalServices/pdf/research/2013/TotalGroup-2013.pdf).
Assume these test scores are normally distributed.
What is the probability that a high school junior who takes the
test will score at least 590 on the mathematics portion of the
test? If required, round your answer to four decimal places....
Question 6 A high school math teacher believes that male and female students who graduated from...
Question 6
A high school math teacher believes that male and female
students who graduated from the school perform equally well on SAT
math test. She randomly chooses 10 male students and 10 female
students who graduated from this school. The following are the SAT
math scores of the 20 students:
Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31
Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21
Give a 95% confidence interval for the...
In the last decade, only 50.4% of high school students in Tampa’s school district graduated high...
In the last decade, only 50.4% of high school students in
Tampa’s school district graduated high school. Aiko believes her
high school in St. Petersburg has a higher graduation rate. She
collects a random sample of 54 former students of her high school
and found that 33 of them graduated. Test Aiko’s belief using a
significance level of 0.05.
A researcher wants to determine whether high school students who attend an SAT preparation course score...
A researcher wants to determine whether high school students who
attend an SAT preparation course score significantly different on
the SAT than students who do not attend the preparation course. For
those who do not attend the course, the population mean is 1050 (μ
= 1050). The 16 students who attend the preparation course average
1150 on the SAT, with a sample standard deviationof 300. On the
basis of these data, can the researcher conclude that the
preparation course has...
A researcher wants to determine whether high school students who attend an SAT preparation course score...
A researcher wants to determine whether high school students who
attend an SAT preparation course score significantly different on
the SAT than students who do not attend the preparation course. For
those who do not attend the course, the population mean is 1050 (μ
= 1050). The 16 students who attend the preparation course average
1150 on the SAT, with a sample standard deviationof 300. On the
basis of these data, can the researcher conclude that the
preparation course has...
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