Question
In: Statistics and Probability
The average annual cost (including tuition, room, board, books, and fees) to attend a public college...
The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college- age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family’s income. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. a. Compute the sample mean and sample standard deviation for private and public colleges. b. What is the point estimate of the difference between the two population means? Interpret this value in terms of the annual cost of attending private and public colleges. c. Develop a 95% confidence interval of the difference between the mean annual cost of attending private and public college
Private Colleges 52.8 43.2 30.6 45.8 Public Colleges 20.3 22.0 22.8 25.8 45.0 33.3 44.0 37.8 50.5 42.0 28.2 15.6 24.1 28.5 18.5 25.6 14.4 21.8
| Private | Public | a) | ̅x1 = | 42.5 | ̅x2 = | ||||
| 52.8 | 20.3 | s1 = | s2 = | ||||||
| 43.2 | 22 | n1 = | n2 = | ||||||
| 45 | 28.2 | df | |||||||
| 33.3 | 15.6 | b) | ̅x1 - ̅x2 = | ||||||
| 44 | 24.1 | c) | σx̅1-x̅2 = | t = ± | MOE = | ||||
| 30.6 | 28.5 | ≤ ̅x1 - ̅x2 ≤ | |||||||
| 45.8 | 22.8 | ||||||||
| 37.8 | 25.8 | ||||||||
| 50.5 | 18.5 | ||||||||
| 42 | 25.6 | ||||||||
| 14.4 | |||||||||
| 21.8 |
Solutions
orchestra answered 1 year agoRelated Solutions
The average annual cost (including tuition, room, board, books, and fees) to attend a public college...
The average annual cost (including tuition, room, board, books,
and fees) to attend a public college takes nearly a third of the
annual income of a typical family with college age children. At
private colleges, the average annual cost is equal to about to
about 60% of the typical family’s income. The following random
samples show the annual cost of attending private and public
colleges. Data are in thousands of dollars. Private Colleges 52.8
43.2 45.0 33.3 44.0 30.6 45.8...
The average annual cost (including tuition, room, board, books, and fees) to attend a public college...
The average annual cost (including tuition, room, board, books,
and fees) to attend a public college takes nearly a third of the
annual income of a typical family with college-age children.† At
private colleges, the average annual cost is equal to about 60% of
the typical family's income. The following random samples show the
annual cost of attending private and public colleges. Data are in
thousands of dollars.
Private Colleges
53.8
44.2
45.0
32.3
44.0
29.6
46.8
37.8
50.5
42.0...
The average annual cost (including tuition, room, board, books, and fees) to attend a public college...
The average annual cost (including tuition, room, board, books,
and fees) to attend a public college takes nearly a third of the
annual income of a typical family with college-age children.† At
private colleges, the average annual cost is equal to about 60% of
the typical family's income. The following random samples show the
annual cost of attending private and public colleges. Data are in
thousands of dollars.
Private Colleges
51.8
44.2
45.0
32.3
45.0
31.6
45.8
38.8
49.5
43.0...
The average annual cost (including tuition, room, board, books and fees) to attend a public college...
The average annual cost (including tuition, room, board, books
and fees) to attend a public college takes nearly a third of the
annual income of a typical family with college-age children
(Money, April 2012). At private colleges, the average
annual cost is equal to about 60% of the typical family's income.
The following random samples show the annual cost of attending
private and public colleges. Data are in thousands of dollars.
Click on the datafile logo to reference the data....
The average annual cost (including tuition, room, board, books, and fees) to attend a public college...
The average annual cost (including tuition, room, board, books,
and fees) to attend a public college takes nearly a third of the
annual income of a typical family with college-age children.† At
private colleges, the average annual cost is equal to about 60% of
the typical family's income. The following random samples show the
annual cost of attending private and public colleges. Data are in
thousands of dollars.
Private Colleges 52.8 42.2
46.0
34.3 45.0
29.6...
The average annual cost (including tuition, room, board, books, and fees) to attend a public college...
The average annual cost (including tuition, room, board, books,
and fees) to attend a public college takes nearly a third of the
annual income of a typical family with college-age children.† At
private colleges, the average annual cost is equal to about 60% of
the typical family's income. The following random samples show the
annual cost of attending private and public colleges. Data are in
thousands of dollars.
Private Colleges
51.8
43.2
46.0
34.3
44.0
30.6
45.8
36.8
51.5
42.0...
The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been...
The increasing annual cost (including tuition, room, board,
books, and fees) to attend college has been widely discussed
(Time.com). The following random samples show the annual
cost of attending private and public colleges. Data are in
thousands of dollars.
Private Colleges
51.8
44.2
45.0
34.3
45.0
31.6
46.8
36.8
49.5
42.0
Public Colleges
20.3
22.0
28.2
15.6
24.1
28.5
22.8
25.8
18.5
25.6
14.4
21.8
(a)
Compute the sample mean (in thousand dollars) and sample
standard deviation (in thousand dollars)...
The average undergraduate cost of tuition, fees and books for a two year college is $10,560....
The average undergraduate cost of tuition, fees and books for a
two year college is $10,560. Four years later, a random sample 36
two year colleges, had an average cost of tuition, fees and books
of $11,380 and a standard deviation of $1300, with a normal
distribution. At α = 2%, has the average cost of two-year college
increased?
1) Check and state the conditions for statistical inference.
2) Compute a 95% confidence interval for the average cost of
tuition...
The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year...
The
average undergraduate cost for tuition, fees, and room and board
for two-year institutions last year was $13,252. The following
year, a random sample of 20 two-year institutions had a mean of
$15,560 and a standard deviation of $3500. Is there sufficient
evidence at the ?= 0.05 level to conclude that the mean cost has
increased. Solve the question by traditional approach.
Question no 2: A large university reports that the mean salary
of parents of an entering class is...
The average cost of tuition and room and board for a small private liberal arts college...
The average cost of tuition and room and board for a small
private liberal arts college is reported to be $8,500 per term, but
a financial administrator believes that the average cost is higher.
A study conducted using 350 small liberal arts colleges showed that
the average cost per term is $8,745. The population standard
deviation is $1,200. Let α = 0.05. What are the null and
alternative hypotheses for this study? rev: 06_20_2017_QC_CS-91792
Multiple Choice H0: µ ≤ $9,000;...
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