ALEKS 360 ACCESS MATH IN OUR WORLD >I<
4th Edition
ISBN: 9781266472497
Author: sobecki
Publisher: INTER MCG
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Textbook Question
Chapter 8.1, Problem 11E
For Exercises 7–18, convert each using dimensional analysis. Round to 2 decimal places if necessary.
9. 17 feet to yards
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Students have asked these similar questions
In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0
given (under the measure P) by
d.St 0.03 St dt + 0.2 St dwt,
with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to
price an option on this stock (which we name cubic put). This option is European-type, with
maturity 3 months (i.e. T = 0.25 years), and payoff given by
F = (8-5)+
(a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure
Q. (You don't need to prove it, simply give the answer.)
(b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2.
(c) Let X =
S. Find the Stochastic Differential Equation satisfied by the process (Xt)
under the measure Q.
(d) Find an explicit expression for X₁ = S3 under measure Q.
(e) Using the results above, find the price of the cubic put option mentioned above.
(f) Is the price in (e) the same as in question (b)? (Explain why.)
Problem 4. Margrabe formula and the Greeks (20 pts)
In the homework, we determined the Margrabe formula for the price of an option allowing you to
swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility
σ and correlation p, the formula was given by
Fo=yo (d+)-x0Þ(d_),
where
In (±²
Ꭲ
d+
õ√T
and
σ = σ√√√2(1 - p).
дго
(a) We want to determine a "Greek" for ỡ on the option: find a formula for
θα
(b) Is
дго
θα
positive or negative?
(c) We consider a situation in which the correlation p between the two stocks increases: what
can you say about the price Fo?
(d) Assume that yo< xo and p = 1. What is the price of the option?
The Course Name Real Analysis please Solve questions by Real Analysis
Chapter 8 Solutions
ALEKS 360 ACCESS MATH IN OUR WORLD >I<
Ch. 8.1 - Prob. 1TTOCh. 8.1 - Convert 81 feet to yards.Ch. 8.1 - Prob. 3TTOCh. 8.1 - A football field is 100 yards long. How many...Ch. 8.1 - The speed of sound at sea level and room...Ch. 8.1 - Prob. 6TTOCh. 8.1 - Prob. 7TTOCh. 8.1 - Prob. 8TTOCh. 8.1 - Prob. 1ECh. 8.1 - Prob. 2E
Ch. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Describe a good rule of thumb for relating inches...Ch. 8.1 - Prob. 7ECh. 8.1 - Writing Exercises
8. Describe the rules for...Ch. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - For Exercises 718, convert each using dimensional...Ch. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - Prob. 24ECh. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - Prob. 26ECh. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Prob. 47ECh. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - For Exercises 1958, convert each measurement to...Ch. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Prob. 59ECh. 8.1 - Prob. 60ECh. 8.1 - Prob. 61ECh. 8.1 - A professional basketball court is 94 feet long....Ch. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.1 - Prob. 67ECh. 8.1 - What are the dimensions of a 6 dm by 5 dm piece of...Ch. 8.1 - Prob. 69ECh. 8.1 - If a millipede has 1,000 legs, how many legs would...Ch. 8.1 - Prob. 71ECh. 8.1 - Prob. 72ECh. 8.1 - Prob. 73ECh. 8.1 - Prob. 74ECh. 8.1 - Prob. 75ECh. 8.1 - Prob. 76ECh. 8.1 - Prob. 77ECh. 8.1 - Prob. 78ECh. 8.1 - Prob. 80ECh. 8.1 - Prob. 81ECh. 8.1 - Prob. 82ECh. 8.1 - A college is building a new basketball court that...Ch. 8.1 - If three servings of ice cream have 20 grams of...Ch. 8.1 - Prob. 85ECh. 8.1 - The campus fitness center is installing an...Ch. 8.1 - Prob. 87ECh. 8.1 - Prob. 88ECh. 8.1 - Prob. 89ECh. 8.1 - Prob. 90ECh. 8.1 - Prob. 91ECh. 8.1 - Prob. 92ECh. 8.1 - Prob. 93ECh. 8.1 - Prob. 94ECh. 8.1 - Prob. 95ECh. 8.1 - Prob. 96ECh. 8.1 - Prob. 97ECh. 8.1 - Prob. 98ECh. 8.1 - Prob. 99ECh. 8.1 - In Problems 95104, decide what units in both the...Ch. 8.1 - Prob. 101ECh. 8.1 - Prob. 102ECh. 8.1 - In Problems 95104, decide what units in both the...Ch. 8.1 - In Problems 95104, decide what units in both the...Ch. 8.1 - Prob. 105ECh. 8.1 - Prob. 106ECh. 8.1 - Prob. 107ECh. 8.1 - Prob. 108ECh. 8.1 - Prob. 109ECh. 8.1 - What units would 7,000 cm have to be converted to...Ch. 8.1 - Prob. 111ECh. 8.2 - Prob. 1TTOCh. 8.2 - A 32-in. wide-screen TV has screen area 3.05 ft2....Ch. 8.2 - Prob. 3TTOCh. 8.2 - Prob. 4TTOCh. 8.2 - Fussy University prohibits any displays on...Ch. 8.2 - Prob. 6TTOCh. 8.2 - Prob. 7TTOCh. 8.2 - Prob. 8TTOCh. 8.2 - Prob. 9TTOCh. 8.2 - Prob. 10TTOCh. 8.2 - Prob. 11TTOCh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - For Exercises 768, convert each measurement to the...Ch. 8.2 - For Exercises 768, convert each measurement to the...Ch. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - For Exercises 768, convert each measurement to the...Ch. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - Prob. 64ECh. 8.2 - Prob. 65ECh. 8.2 - Prob. 66ECh. 8.2 - Prob. 67ECh. 8.2 - Prob. 68ECh. 8.2 - Prob. 69ECh. 8.2 - Jose has a 15-m2 garden and plans to buy some...Ch. 8.2 - Dan wants to pour a concrete patio in his...Ch. 8.2 - Chloe drank two 20-oz bottles of Diet Pepsi while...Ch. 8.2 - Prob. 73ECh. 8.2 - Prob. 74ECh. 8.2 - Prob. 75ECh. 8.2 - Prob. 76ECh. 8.2 - Prob. 77ECh. 8.2 - Prob. 78ECh. 8.2 - Five cubic feet of seawater have flooded into a...Ch. 8.2 - Prob. 80ECh. 8.2 - Prob. 81ECh. 8.2 - Prob. 82ECh. 8.2 - A search party covered 6 square miles of territory...Ch. 8.2 - A Jacuzzi was filled with 200 gallons of water....Ch. 8.2 - Prob. 85ECh. 8.2 - Prob. 86ECh. 8.2 - Prob. 87ECh. 8.2 - Prob. 88ECh. 8.2 - Prob. 89ECh. 8.2 - In Problems 8590, which unit would be most...Ch. 8.2 - Prob. 91ECh. 8.2 - Prob. 92ECh. 8.2 - Prob. 93ECh. 8.2 - Prob. 94ECh. 8.2 - Prob. 95ECh. 8.2 - Prob. 96ECh. 8.2 - Prob. 97ECh. 8.2 - Prob. 98ECh. 8.2 - Without doing any calculating, which sounds like...Ch. 8.2 - Prob. 102ECh. 8.2 - Prob. 104ECh. 8.2 - As a general rule, there are about 20 drops of...Ch. 8.3 - Prob. 1TTOCh. 8.3 - Prob. 2TTOCh. 8.3 - Prob. 3TTOCh. 8.3 - (a) One of the weight classes in Olympic boxing is...Ch. 8.3 - Barts football coach tells him that hell start...Ch. 8.3 - Prob. 6TTOCh. 8.3 - Prob. 7TTOCh. 8.3 - Prob. 1ECh. 8.3 - In most applications, weight and mass are treated...Ch. 8.3 - Even though the base unit of mass/weight in the...Ch. 8.3 - Measuring temperatures in metric units is...Ch. 8.3 - How do powers of 10 fit into the metric system of...Ch. 8.3 - Prob. 6ECh. 8.3 - For Exercises 716, convert to the indicated unit....Ch. 8.3 - For Exercises 716, convert to the indicated unit....Ch. 8.3 - For Exercises 716, convert to the indicated unit....Ch. 8.3 - For Exercises 716, convert to the indicated unit....Ch. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - For Exercises 716, convert to the indicated unit....Ch. 8.3 - For Exercises 716, convert to the indicated unit....Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 1730, convert each metric weight to...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 3146, convert each amount to the...Ch. 8.3 - For Exercises 4752, convert each Celsius...Ch. 8.3 - For Exercises 4752, convert each Celsius...Ch. 8.3 - For Exercises 4752, convert each Celsius...Ch. 8.3 - For Exercises 4752, convert each Celsius...Ch. 8.3 - For Exercises 4752, convert each Celsius...Ch. 8.3 - For Exercises 4752, convert each Celsius...Ch. 8.3 - For Exercises 5358, convert each Fahrenheit...Ch. 8.3 - Prob. 54ECh. 8.3 - Prob. 55ECh. 8.3 - For Exercises 5358, convert each Fahrenheit...Ch. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Prob. 68ECh. 8.3 - Prob. 69ECh. 8.3 - For a chicken Marsala recipe, Janine needed 24 oz...Ch. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Prob. 73ECh. 8.3 - Prob. 74ECh. 8.3 - Prob. 75ECh. 8.3 - While building a new playground at the city...Ch. 8.3 - Prob. 77ECh. 8.3 - During a dinner at Outback Steakhouse, a family of...Ch. 8.3 - An elevator says the maximum capacity is 1,000 kg....Ch. 8.3 - Prob. 80ECh. 8.3 - If the temperature goes down by 7 degrees Celsius...Ch. 8.3 - Between 8 A.M. and noon, the temperature rose by...Ch. 8.3 - Prob. 83ECh. 8.3 - A 1.7-ton truck crosses the border into Canada....Ch. 8.3 - Prob. 85ECh. 8.3 - Prob. 86ECh. 8.3 - Prob. 87ECh. 8.3 - 88.
According to the Guinness Book of World...Ch. 8.3 - Prob. 89ECh. 8.3 - In Exercises 90–93, which would be the most...Ch. 8.3 - Prob. 91ECh. 8.3 - In Exercises 90–93, which would be the most...Ch. 8.3 - In Exercises 90–93, which would be the most...Ch. 8.3 - Prob. 94ECh. 8.3 - (a) The bar graph shows the average monthly high...Ch. 8.3 - Australia is one of the worlds leading producers...Ch. 8.3 - Prob. 101ECh. 8.3 - Prob. 102ECh. 8.3 - Prob. 103ECh. 8.3 - Prob. 104ECh. 8.3 - Prob. 105ECh. 8 - For Exercises 116, convert each of the following...Ch. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - For Exercises 116, convert each of the following...Ch. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - For Exercises 2341, convert each of the following...Ch. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - For Exercises 4962, convert each of the following...Ch. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - How many pounds is a baby who weighs 3,200 g?Ch. 8 - Heinrichs temperature is 38.5C. A person is...Ch. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - Prob. 3CTCh. 8 - Prob. 4CTCh. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Prob. 8CTCh. 8 - Prob. 9CTCh. 8 - Prob. 10CTCh. 8 - Prob. 11CTCh. 8 - For Exercises 121, convert each of the following:...Ch. 8 - Prob. 13CTCh. 8 - Prob. 14CTCh. 8 - Prob. 15CTCh. 8 - Prob. 16CTCh. 8 - Prob. 17CTCh. 8 - Prob. 18CTCh. 8 - Prob. 19CTCh. 8 - Prob. 20CTCh. 8 - Prob. 21CTCh. 8 - Prob. 22CTCh. 8 - If a runner averages 5.9 feet per second, how long...Ch. 8 - Prob. 24CTCh. 8 - Prob. 25CTCh. 8 - Prob. 26CTCh. 8 - Prob. 27CTCh. 8 - Prob. 28CTCh. 8 - Prob. 29CTCh. 8 - Prob. 30CTCh. 8 - A young family is looking to buy a house and...Ch. 8 - Prob. 32CTCh. 8 - Prob. 33CT
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- We consider a 4-dimensional stock price model given (under P) by dẴ₁ = µ· Xt dt + йt · ΣdŴt where (W) is an n-dimensional Brownian motion, π = (0.02, 0.01, -0.02, 0.05), 0.2 0 0 0 0.3 0.4 0 0 Σ= -0.1 -4a За 0 0.2 0.4 -0.1 0.2) and a E R. We assume that ☑0 = (1, 1, 1, 1) and that the interest rate on the market is r = 0.02. (a) Give a condition on a that would make stock #3 be the one with largest volatility. (b) Find the diversification coefficient for this portfolio as a function of a. (c) Determine the maximum diversification coefficient d that you could reach by varying the value of a? 2arrow_forwardQuestion 1. Your manager asks you to explain why the Black-Scholes model may be inappro- priate for pricing options in practice. Give one reason that would substantiate this claim? Question 2. We consider stock #1 and stock #2 in the model of Problem 2. Your manager asks you to pick only one of them to invest in based on the model provided. Which one do you choose and why ? Question 3. Let (St) to be an asset modeled by the Black-Scholes SDE. Let Ft be the price at time t of a European put with maturity T and strike price K. Then, the discounted option price process (ert Ft) t20 is a martingale. True or False? (Explain your answer.) Question 4. You are considering pricing an American put option using a Black-Scholes model for the underlying stock. An explicit formula for the price doesn't exist. In just a few words (no more than 2 sentences), explain how you would proceed to price it. Question 5. We model a short rate with a Ho-Lee model drt = ln(1+t) dt +2dWt. Then the interest rate…arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forward
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Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License