Question

- The average tuition and room and board cost at a small private liberal arts college is reported to be $20,000 per term. A study of 400 small liberal arts colleges find that the average cost per term is $20,100. The population standard deviation is $1,500. What is the 95 percent confidence limit for estimated population mean?

Answer #1

95% confidence interval for is

- Z * / sqrt(n) < < + Z * / sqrt(n)

20100 - 1.96 * 1500 / sqrt(400) < < 20100 + 1.96 * 1500 / sqrt(400)

19953 < < 20247

95% CI is **( 19953 , 20247 )**

(13) The average tuition and room and board cost at a small
private liberal arts college is reported to be $20,000 per term. A
study of 400 small liberal arts colleges find that the average cost
per term is $20,100. The population standard deviation is $1,500.
If α = 0.05, what is your decision about the average cost?

(12) The average tuition and room and board cost at a small
private liberal arts college is reported to be $20,000 per term. A
study of 400 small liberal arts colleges find that the average cost
per term is $20,100. The population standard deviation is $1,500.
If α = 0.05, what is the p- value for the test: Ho: µ= 20,000?

The average cost of tuition and room and board at a small
private liberal arts college is reported to be $8,500 per term. 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 is the p-value for this
test?
A. 0.0000
B. 0.0124
C. 0.4938
D. 0.0500

The average cost of tuition plus 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 = 0.01. What is the critical z-value for
this test?
Please show work

The average cost of tuition, room and board at small private
liberal arts colleges is reported to be $9,000 per term, but a
financial administrator believes that the average cost is higher. A
study conducted using 450 small liberal arts colleges showed that
the average cost per term is $9,700 with a standard deviation of
$1,500. Let level of significance= 0.05. What is the critical
z-value for this test?
A- 1.96
B- (-1.96)
c- 1.65
D- (-1.65)

The average cost of tuition, room and board at community
colleges is reported to be $11,500 per year, but a financial
administrator believes that the average cost is higher. A study
conducted using 150 community colleges showed that the average cost
per year is $12,000 with a standard deviation of $1,200. Let α =
0.05.
What are the null and alternative hypotheses for this study?

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, 44.0, 34.3, 44.0, 29.6, 46.8, 36.8,
51.5, 41.0...

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
52.8
43.2
46.0
34.3
43.0
29.6
45.8
36.8
51.5
43.0
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)...

According to the College Board, the average cost for one year of
tuition, room and board, and fees at public 4-year universities was
$12,837 in 2006. The average cost increased to $20,092 by 2016.
(a) Fill in the blank. Show your work.
The average cost of a year of college rose by _____% from 2006
to 2016
(b) Fill in the blank. Show your work.
The average cost of a year of college was _____% less in 2006 to
2016...

Suppose that on the average, 7 students enrolled in a small
liberal arts college have their automobiles stolen during the
semester. What is the probability that more than 4 students will
have their automobiles stolen during the current semester? Round
your answer to four decimal places.

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