Question
In: Statistics and Probability
A group of 100 of the 2,500 students enrolled in a college in natural sciences reveals...
A group of 100 of the 2,500 students enrolled in a college in natural sciences reveals that 35 are 17 years old, 45 are 18 years old, 10 are 19 years old, 6 are 20 years old, three are 21 years old and one is 22 years old.
a)provide an estimate for the mean, variance and standard deviation for the Age of the group.
b) Find the confidence interval with a confidence bands of 90% , 95% , and 99% by approximating the sample as having been taken with replacement
c) Find the same confidence intervals as in b), but treat the sample as taken without replacement.
Solutions
orchestra answered 2 years agoRelated Solutions
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A group of 100 college students and 100 college graduates was
asked to reply to the question, "In general, do you enjoy reading a
college textbook?" The following are the frequency counts for their
responses on the 3-option item.
Usually
Sometimes
Never
Students
30
25
45
Graduates
50
20
30
The critical value that you would use for an alpha level of .10
in the problem comparing college students' and graduates' enjoyment
of reading textbooks is?
There are 2567 students enrolled at a small college, with 2053 of them enrolled in a...
There are 2567 students enrolled at a small college, with 2053
of them enrolled in a sociology course.
In the sampling distribution of sample proportions of size 230,
above what proportion will 52% of all sample proportions be?
Select all answers that apply to your calculation below. Use the
z-table given below to answer the question:
z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
-0.2
0.421
0.417
0.413
0.409
0.405
0.401
0.397
0.394
0.390
0.386
-0.1
0.460...
Bay State Community College enrolls students in two departments, Liberal Arts and Sciences. The college also...
Bay State Community College enrolls students in two departments,
Liberal Arts and Sciences. The college also has two service
departments, the Library and the Computing Services Department. The
usage of these two service departments’ output for the year is as
follows:
Provider of Service
User of Service
Library
Computing Services
Library
—
10
%
Computing
Services
—
—
Liberal Arts
80
%
20
%
Sciences
20
%
70
%
The budgeted costs in the two
service departments for the...
In 2010, 76.3% of college students enrolled in an education major were female. A sample of...
In 2010, 76.3% of college students enrolled in an education
major were female. A sample of students enrolled in an education
major in 2019 consisted of 115 females and 70 males.
Would this data be sufficient at the 0.01 level of significance to
conclude that the percentage of females enrolled in an education
major decreased from the 76.3%?
Use the P-Value Method of Testing.
In your work space below, you will need to have -
1. The null hypothesis, Ho...
An admissions director wants to estimate the mean age of all students enrolled at a college....
An admissions director wants to estimate the mean age of all
students enrolled at a college. The estimate must be within 1 years
of the population mean. Assume the population of ages is normally
distributed and the population standard deviation is 9.5 years.
Determine the minimum sample size required to construct a 80%
confidence interval for the population mean age. Determine the
minimum sample size required to construct a 95% confidence interval
for the population mean age. Which level of...
A college offers teaching in Math, English, Chemistry, and Biology. The number of students enrolled in...
A college offers teaching in Math, English, Chemistry, and
Biology. The number of students enrolled in each subject is listed
below. If the college can only afford to hire 19 teachers,
determine how many teachers should be assigned to each subject
using Jefferson's method.
(a)
Subject
Students Enrolled
Teacher to Assign
Math
370
English
265
Chemistry
105
Biology
80
(b) What modified divisor did you use?
3. a. A sample of 38 students from a community college reveals the average number of...
3. a. A sample of 38 students from a community college reveals
the average number of units they are taking is 11.5, with a
standard deviation of 1.4. Determine a 98% confidence interval for
the true mean. b. Assume now that the same results occurred from a
sample of size 9, but it was known that the original population was
normal. c. Repeat problem 3a, assuming that the standard deviation
was the real population standard deviation.
People in a random sample of 235 students enrolled at a liberal arts college were asked...
People in a random sample of 235 students enrolled at a liberal
arts college were asked questions about how many hours of sleep
they get each night. The sample mean sleep duration (average hours
of daily sleep) was 7.72 hours and the sample standard deviation
was 1.04 hours. The recommended number of hours of sleep for
college-age students is 8.4 hours. Is there convincing evidence
that the population mean sleep duration for students at this
college is less than the...
A college admissions director wishes to estimate the mean age of all students currently enrolled. In...
A college admissions director wishes to estimate the mean age of
all students currently enrolled. In a random sample of 81 students,
the mean age is found to be 20.51 years. From past studies, the
standard deviation of the population is known to be 2 years, and
the population is normally distributed. Construct a 99% confidence
interval of the population mean age. (Round off final answers to
two decimal places, if appropriate. Do not round off numbers taken
directly from...
A college admissions director wishes to estimate the mean age of all students currently enrolled. In...
A college admissions director wishes to estimate the mean age of
all students currently enrolled. In a random sample of 19 students,
the mean age is found to be 22.4 years. From past studies, the ages
of enrolled students are normally distributed with a standard
deviation of 9.5 years. Construct a 90% confidence interval for the
mean age of all students currently enrolled.
1. What is the critical value?
2. What is the standard deviation of the sample mean?
3....
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