Question
In: Statistics and Probability
A nationwide award for high school students is given to outstanding students who are sophomores, juniors,...
A nationwide award for high school students is given to outstanding students who are sophomores, juniors, or seniors (freshmen are not eligible). Of the award-winners, 60 percent are SENIORS, 24 percent JUNIORS, and 16 percent are SOPHOMORES.
Note: Your answers should be expressed as decimals rounded to three decimal places.
(a) Suppose we select award-winners one at a time and continue selecting until a SENIOR is selected. What is the probability that we will select exactly three award-winners?
(b) Suppose we select award-winners one at a time and continue selecting until a JUNIOR is selected. What is the probability that we will select at least three award-winners?
(c) Suppose we select award-winners one at a time continue selecting until a SOPHOMORE is selected. What is the probability that we will select 2 or fewer award-winners?
A measurement is normally distributed with μ=55μ=55 and σ=18σ=18. Round answers below to three decimal places.
(a) The mean of the sampling distribution of x¯x¯ for samples of size 36 is:
(b) The standard deviation of the sampling distribution of x¯x¯ for samples of size 36 is:
Solutions
orchestra answered 1 year agoRelated Solutions
A nationwide award for high school students is given to outstanding students who are sophomores, juniors,...
A nationwide award for high school students is given to
outstanding students who are sophomores, juniors, or seniors
(freshmen are not eligible). Of the award-winners, 65 percent are
SENIORS, 20 percent JUNIORS, and 15 percent are SOPHOMORES.
Note: Your answers should be expressed as decimals rounded to
three decimal places.
(a) Suppose we select award-winners one at a time and continue
selecting until a SENIOR is selected. What is the probability that
we will select exactly three award-winners?
(b) Suppose...
2.In a high school, 16% are Freshmen, 14% are Sophomores, 38% are Juniors, and 32% are...
2.In a high school, 16% are Freshmen, 14% are Sophomores, 38%
are Juniors, and 32% are Seniors. Suppose 15 students are randomly
selected. Find the probability that
a) 4 are Freshmen, 5 are Sophomores, and the rest are neither
Freshmen nor Sophomores (in any order)
b) either exactly one is Senior and all the others are not
Senior (in any order) or exactly one Freshman, one Sophomore, one
Junior and all the others are Seniors ( in any order)
Note:...
Dartnose College has 4000 students. 30% are first-year students, 25% are sophomores, 25% are juniors, and...
Dartnose College has 4000 students. 30% are first-year students,
25% are sophomores, 25% are juniors, and 20% are seniors. 40% of
the first-year students are women, 60% of the sophomores are women,
40% of the jumiors are women, and 60% of the seniors are women.
Every student is in one and only one of these classes.
1. What is the probability that a randomly selected student will
NOT be a junior?
2. What is the probability that a randomly selected...
How do California high school students compare to students nationwide in their college readiness, as measured...
How do California high school students compare to students
nationwide in their college readiness, as measured by their SAT
scores? The national average scores for the class of 2017 were 533
on Evidence-Based Reading and Writing and 527 on the math portion.†
Suppose that 100 California students from the class of 2017 were
randomly selected and their SAT scores were recorded in the
following table.
Evidence-Based
Reading and Writing
Math
Sample Average
529
521
Sample Standard
Deviation
96
99
(a)...
How do California high school students compare to students nationwide in their college readiness, as measured...
How do California high school students compare to students
nationwide in their college readiness, as measured by their SAT
scores? The national average scores for the class of 2017 were 533
on Evidence-Based Reading and Writing and 527 on the math portion.†
Suppose that 100 California students from the class of 2017 were
randomly selected and their SAT scores were recorded in the
following table.
Evidence-Based
Reading and Writing
Math
Sample Average
529
522
Sample Standard Deviation
98
99
(a)...
2. Suppose a randomly chosen group of 150 high school juniors and seniors who took the...
2. Suppose a randomly chosen group of 150 high school juniors
and seniors who took the SAT twice over a period of six months
showed an average improvement on the second SAT of 25 points. The
standard deviation of the difference in the scores between the
first and second SAT was 20 points.
a. What is the appropriate design for this situation?
b. Set up an appropriate hypotheses to test the claim that the
score on the second SAT is,...
In a certain high school, uniforms are optional. A study shows that high school students who...
In a certain high school, uniforms are optional. A study shows
that high school students who wear uniforms have a lower grade
average than students who don't wear uniforms. From this study, the
school administration claims that they should not require the
students to wear uniforms because that is the cause of the lowering
grades. Another possible explanation is that students who wear
uniforms are poorer than the students who don't wear uniforms and
the economic situation of their parents...
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....
It is believed that the mean height of high school students who play basketball on the...
It is believed that the mean height of high school students who
play basketball on the school team is 73 inches with a standard
deviation of 1.8 inches. A random sample of 40 players is chosen.
The sample mean was 71 inches, and the sample standard deviation
was 1.5 years. Do the data support the claim that the mean height
is less than 73 inches? The p-value is almost zero. State the null
and alternative hypotheses and interpret the p-value....
The heights of a simple random sample of 400 male high school sophomores in a Midwestern...
The heights of a simple random sample of 400 male high school
sophomores in a Midwestern state are measured. The sample mean is =
66.2 inches. Suppose that the heights of male high school
sophomores follow a Normal distribution with a standard deviation
of σ = 4.1 inches. What is a 95% confidence interval for µ?
A. (59.46, 72.94)
B. (58.16, 74.24)
C. (65.80, 66.60)
D. (65.86, 66.54)
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