The charts show results of studies on four-year colleges in the United States. You want to portray your college in a positive light for an advertising campaign designed to attract high school students. You decide to use hypothesis tests to show that your college is better than the average in certain aspects. EXERCISES
1. What Would You Test? What claims could you test if you wanted to convince a student to come to your college? Suppose the student you are trying to convince is mainly concerned with (a) affordability, (b) having a good experience, and (c) graduating and starting a career. List one claim for each case. State the null and alternative hypotheses for each claim.
2. Choosing a Random Sample Classmates suggest conducting the following sampling techniques to test various claims. Determine whether the sample will be random. If not, suggest an alternative. (a) Survey all the students you have class with and ask about the average time they spend daily on different activities. (b) Randomly select former students from a list of recent graduates and ask whether they are employed. (c) Randomly select students from a directory, ask how much debt money they borrowed to pay for college this year, and multiply by four.
3. Supporting a Claim You want your test to support a positive claim about your college, not just fail to reject one. Should you state your claim so that the null hypothesis contains the claim or the alternate hypothesis contains the claim? Explain.
4. Testing a Claim You want to claim that students at your college graduate with an average debt of less than $25,000. A random sample of 40 recent graduates has a mean amount borrowed of $23,475 and a standard deviation of $8000. At a = 0.05, is there enough evidence to support your claim?
5. Testing a Claim You want to claim that your college has a freshmen retention rate of at least 80%. You take a random sample of 60 of last year’s freshmen and find that 54 of them still attend your college. At a = 0.05, is there enough evidence to reject your claim?
6. Conclusion Test one of the claims you listed in Exercise 1 and interpret the results. Discuss any limits of your sampling process.
College Success
Freshman retention rate
73.9%
4-year graduation rate 5-year graduation rate
39.8%
5-year graduation rate
55.3%
6-year graduation rate
59.6%
Recent graduate employment rate
94.4%
_______________________________________x
0 20 40 60 80 100
College Cost
Annual tuition, public, In-state
$9130
Annual tuition, public, Out-of-state
$21,303
Annual tuition, private
$33,635
Amount borrowed
$29,411
Need-based scholarship or grants
$14,719
________________________________________x
0 10,000 20,000 30,000
Amount
Student Daily Life
Sleeping
8.8
Leisure and sports
4.0
Educational Activities
3.5
Working
2.3
Traveling
1.4
Dining
1.0
Other
3.0
_____________________________________x
0 2 4 6 8 10
Average (in hours)
In: Statistics and Probability
(4) An urn contains 7 red marbles labeled {1,2,3,4,5,6,7} and 5 green marbles labeled {1,2,3,4,5}.Four marbles are pulled out at once (i.e. with no particular order). What is the probability that ...
(a) ... all four marbles are red?
(b) ... more of the marbles are green than red?
(c) ... both red and green marbles are present?
(d) ... two of the marbles chosen are both labeled "5"?
In: Statistics and Probability
We are given 3 urns as follows: Urn A contains 3 red and 5 white marbles, Urn B contains 2 red and one white marble, Urn C contains 2 red and 3 white marbles. Construct the probability tree. Suppose that a urn is randomly selected and a marble is drawn from the selected urn. If the marble is red what is the probability that it came from urn A?
In: Math
From what you've learnt so far, write a report on the agile development methodology from the point of view of a programmer trying to argue the case for management of Academic City College to adopt a specific methodology for internal system development and contracted (procured) system development. You can assume the organisation has no experience in agile development processes at all so you will need to provide detailed arguments (this is not true but for the purposes of the assignment you should assume it is true).
Your report should be structured as follows:
An overview of Agile processes
An explanation of your specific proposed framework
Arguments for and against the adoption of your proposed framework. You will need to reference authoritative sources to convince your management
Clearly identify what sorts of projects would benefit and what sorts of projects will not benefit . This can be part of your point 3 arguments.
An explanation of two aspects of Agile methodologies (XP, SCRUM or other processes) that could be adopted across the organisation, even if some systems were not appropriate for your proposed framework. Explain why this is a good idea.
The report should not be more than 1500 words. You will not be penalised for going over the limit but it may indicate you have too much detail or your writing is not precise. Feel free to use the above items as major headings in your report/essay, a bit more concise of course. You should add a brief Executive Summary and a brief Conclusion.
In: Computer Science
Monetary and fiscal policy are seen as appropriate tools to try to steer the macroeconomy. What are the current settings of these tools? Who makes the decisions to change one of these tools? Are the decisions based on democratically elected officials actions or appointees? What are the advantages and drawbacks of elected officials vs. Appointees?? Explain in detail.
In: Economics
- Where is the smartness incorporated in the Internet?
- What is the Internet end-to-end principal?
- What do you think are the main trade-offs of this end-to-end principal that you just described?
Please explain in detail, I am so confused. This is a Critical Thinking Essay Question For Network Architecture.
In: Computer Science
research practice questions word limit (400-
600)
1) You are planning to open up a new restaurant
business, what kind of external environment will affect you.
2) Write the job description for a sales representative at best
buy. What will be the selection criteria and process, explain in
detail.
In: Economics
Suppose Canada’s aggregate production function is given by the
following:
Y = (K*1^3)(N*2^3)
Variables are defined as they were in class. Suppose the savings
rate in Canada is 33.33% (s = 1 3) and the depreciation rate is 15%
(δ = 0.15). Assume that Canada is not currently experiencing any
technological change.
a) Calculate the steady-state level of capital per worker
and output per worker in Canada’s economy.
b) Determine the annual growth rate of output per worker in Canada.
The government wants to grow the economy by encouraging more
savings. Suppose they successfully persuade Canadians to increase
the savings rate to 40% (s = 0.4).
c) Graph the resulting annual growth rate of GDP per
worker for the following 100 years. What is the new steady state
level of GDP per capita? Has increased savings led to a large
growth in the economy?
d) Calculate the golden-rule savings rate for this economy.
e) Explain what your result from part d) say about the desirability of Canada’s increased savings policy.
In: Economics
Between last year and this year, the CPI in Blueland rose from
100 to 108 and the CPI in Redland rose from 100 to 104. Blueland’s
currency unit, the blue, was worth $0.90 (U.S.) last year and is
worth $0.80 (U.S.) this year. Redland’s currency unit, the red, was
worth $0.45 (U.S.) last year and is worth $0.40 (U.S.) this year.
Consider Blueland as the home country.
a. Calculate Blueland’s nominal exchange rate with Redland
last year.
Instructions: Enter your response rounded to one
decimal place.
red/blue.
b. Calculate Blueland’s nominal exchange rate with Redland
this year.
Instructions: Enter your response rounded to one
decimal place.
red/blue.
c. Calculate the percentage change in Blueland’s nominal exchange
rate from last year to this year.
Instructions: Enter your response as an integer
value. Be certain to enter "0" if required.
%.
d. Calculate Blueland’s real exchange rate with Redland
last year.
Instructions: Enter your response rounded to one
decimal place.
red/blue.
e. Calculate Blueland’s real exchange rate with Redland
this year.
Instructions: Enter your response rounded to three
decimal places.
red/blue.
f. Calculate the percentage change in Blueland’s real exchange rate
with Redland.
Instructions: Enter your response rounded to three
decimal places.
In: Economics
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The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm. Find the p-value for a test to see whether the candy bars are smaller than they are supposed to be? |
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Please explain why this is a t or z test and show the p val step in detail with the Excel command used to obtain the answer. Also, if this is norm.s.dist, explain why you can use a standard normal distribution here?
In: Statistics and Probability