STATISTICAL TECHNIQUES IN BUSINESS AND E
18th Edition
ISBN: 9781260570489
Author: Lind
Publisher: MCG
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Chapter 7, Problem 30E
To determine
Find the number of pages the manufacturer should advertise for each cartridge if it wants to be correct 99% of the time.
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This problem is based on the fundamental option pricing formula for the continuous-time
model developed in class, namely the value at time 0 of an option with maturity T and
payoff F is given by:
We consider the two options below:
Fo=
-rT
= e
Eq[F].
1
A. An option with which you must buy a share of stock at expiration T = 1 for strike
price K = So.
B. An option with which you must buy a share of stock at expiration T = 1 for strike
price K given by
T
K =
T
St dt.
(Note that both options can have negative payoffs.) We use the continuous-time Black-
Scholes model to price these options. Assume that the interest rate on the money market
is r.
(a) Using the fundamental option pricing formula, find the price of option A. (Hint:
use the martingale properties developed in the lectures for the stock price process
in order to calculate the expectations.)
(b) Using the fundamental option pricing formula, find the price of option B.
(c) Assuming the interest rate is very small (r ~0), use Taylor…
Discuss and explain in the picture
Bob and Teresa each collect their own samples to test the same hypothesis. Bob’s p-value turns out to be 0.05, and Teresa’s turns out to be 0.01.
Why don’t Bob and Teresa get the same p-values?
Who has stronger evidence against the null hypothesis: Bob or Teresa?
Chapter 7 Solutions
STATISTICAL TECHNIQUES IN BUSINESS AND E
Ch. 7 - Microwave ovens only last so long. The life-time...Ch. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 2SRCh. 7 - The distribution of the annual incomes of a group...Ch. 7 - Explain what is meant by this statement: There is...
Ch. 7 - List the major characteristics of a normal...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - The temperature of coffee sold at the Coffee Bean...Ch. 7 - A normal population has a mean of 20.0 and a...Ch. 7 - A normal population has a mean of 12.2 and a...Ch. 7 - Prob. 15ECh. 7 - The mean of a normal probability distribution is...Ch. 7 - Prob. 5SRCh. 7 - Prob. 17ECh. 7 - A normal population has a mean of 80.0 and a...Ch. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - WNAE, an all-news AM station, finds that the...Ch. 7 - Prob. 22ECh. 7 - Prob. 6SRCh. 7 - A normal distribution has a mean of 50 and a...Ch. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Prob. 28ECh. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 7SRCh. 7 - Prob. 31ECh. 7 - The lifetime of LCD TV sets follows an exponential...Ch. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35CECh. 7 - Prob. 36CECh. 7 - Prob. 37CECh. 7 - Prob. 38CECh. 7 - Prob. 39CECh. 7 - Prob. 40CECh. 7 - Prob. 41CECh. 7 - Prob. 42CECh. 7 - Prob. 43CECh. 7 - Prob. 44CECh. 7 - Shaver Manufacturing Inc. offers dental insurance...Ch. 7 - The annual commissions earned by sales...Ch. 7 - Prob. 47CECh. 7 - Prob. 48CECh. 7 - Management at Gordon Electronics is considering...Ch. 7 - Fast Service Truck Lines uses the Ford Super Duty...Ch. 7 - Prob. 51CECh. 7 - Prob. 52CECh. 7 - The weights of canned hams processed at Henline...Ch. 7 - The price of shares of Bank of Florida at the end...Ch. 7 - Prob. 55CECh. 7 - Prob. 56CECh. 7 - Prob. 57CECh. 7 - Prob. 58CECh. 7 - Prob. 59CECh. 7 - Prob. 61DACh. 7 - Prob. 62DACh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 1CCh. 7 - Prob. 2CCh. 7 - Prob. 3CCh. 7 - Prob. 4CCh. 7 - Prob. 5CCh. 7 - Prob. 1.1PTCh. 7 - Prob. 1.2PTCh. 7 - Prob. 1.3PTCh. 7 - Prob. 1.4PTCh. 7 - Prob. 1.5PTCh. 7 - Prob. 1.6PTCh. 7 - Which of the following is NOT a requirement of the...Ch. 7 - Prob. 1.8PTCh. 7 - How many standard normal distributions are there?...Ch. 7 - Prob. 1.10PTCh. 7 - Prob. 1.11PTCh. 7 - Prob. 1.12PTCh. 7 - Prob. 1.13PTCh. 7 - Prob. 1.14PTCh. 7 - Prob. 1.15PTCh. 7 - Prob. 2.1PTCh. 7 - Prob. 2.2PTCh. 7 - Prob. 2.3PTCh. 7 - Prob. 2.4PTCh. 7 - Prob. 2.5PTCh. 7 - Prob. 2.6PTCh. 7 - Prob. 2.7PT
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- Microsoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADOarrow_forwardSuppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?arrow_forwardA normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts? 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the answer of the second part.) 2. Compute the probability of a value greater than 55.0. Use the same formula, x=55 and subtract the answer from 1. 3. Compute the probability of a value between 52.0 and 55.0. (The question requires finding probability value between 52 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 52, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…arrow_forward
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