Is modified duration a good estimate for the percentage price change for mortgage securities? Why? How can it be improved?

Q1. Sam and Kevin want to know if the percentage of American consumers using Kally has dropped from its historical level of 37% of American consumers. Sam and Kevin gather a sample of 750 consumers and ask them if they use Kally. The results of this survey are presented below.

Uses Kally 240

Do not use Kally 510

total 750

A. If there is evidence that the percentage of U.S. consumers using Kally is less than 37%, Sam and Kevin will spend $50,000 on additional market research to find out why Kally use is declining. Sam and Kevin would like to operate with 99% confidence, 1% importance.

B. Conduct a hypothesis test to find out if there is evidence that the percentage of American consumers who use Kally is less than 37%. Should Sam and Kevin spend $50,000 on additional market research? Use the class format.  

C. What are the Type I and Type II errors in your test?

Q2.  Sam and Kevin want to know if the average amount American consumers spend on Kally each week has changed from the $5.10 per week that American consumers have historically spent on Kally. Sam and Kevin put together a random sample of 20 American consumers and find out how much each consumer spends on Kally each week. Consumer spending on Kally is known to follow a normal distribution. This sample has an average spending of $5.01, and a standard deviation of $0.25.

A. If there is evidence that the average amount spent on Kally is different from the historical $5.10 per week, Sam and Kevin will spend $500,000 to change their production line to increase the flexibility of their production process.

B. Perform a hypothesis test to determine if there is evidence that the average amount spent at Kally is different from the historical $5.10 per week. Using a significance of 5%, 95% confidence level, would you advise Sam and Kevin to increase the flexibility of their production line?

C.  Let's assume that the truth is that the average amount spent at Kally is the historic $5.10 per week. How often would your testing procedure report that there is evidence that the average amount spent at Kally is different from $5.10?

Problem #3

Faith and Healing.

A higher percentage of southerners believe in God and prayer, according to a

1998 study by the University of North Carolina’s Institute for Research in Social Science. The

survey was conducted by means of telephone interviews with 844 adults in 12 southern states and

413 adults in other states. One of the findings was that 46% of southerners believe they have been

healed by prayer, compared with 28% of others. Assume that the results of the UNC survey are the

true, population percentages for these regions. Suppose that 20 southerners are to be selected at

random and asked if they believe they have been healed by prayer. We are interested in the number

who answer “Yes” to this question.

a) What is an appropriate statistical model?

Clearly specify and define a random variable. (Let X = ...)

State the model, verify conditions, and identify all parameters.

b)Of the 20 southerners selected, what is the expected number of “Yes” responses? Write an

expected value statement, give the formula, give the formula with numbers plugged in, give

your final answer.

For parts c), d), e), and f) write a probability statement and give a numerical answer.

c) What is the probability that exactly 10 responded “Yes”?

d) What is the probability that between 10 and 15 (

both inclusive) responded “Yes”?

e) What is the probability that over 75% of the 20 responded “Yes”?

f) What is the probability that less than 8 responded “Yes”?

g) Suppose a sample of 100 non-southerners were to be selected at random and asked if they

believe they have been healed by prayer. What is the expected number of “Yes” responses

and what is the standard deviation for the number of “Yes” responses?

1. List the top five companies in the beef market by percentage ownership.
2. List the top four firms that own most of the hog industry. Include percentage ownership.
3. Name the top four firms that own most of the broiler chicken industry. List their percentages.
4. What is the risk to consumers when four or five firms control most of the production and distribution of animal protein? What are the consequences of lack of competition?

A political candidate has asked you to conduct a poll to determine what percentage of people support her.

If the candidate only wants a 4% margin of error at a 95% confidence level, what size of the sample is needed?

The political candidate will need to sample people.

You measure 39 textbooks' weights, and find they have a mean weight of 44 ounces. Assume the population standard deviation is 12.7 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.

Give your answers as decimals, to two places

I am 99% confident that the mean weight of textbooks is between and ounces.

You measure 46 textbooks' weights and find they have a mean weight of 38 ounces. Assume the population standard deviation is 4.8 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.
A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of ¯x=80x¯=80 hours with a standard deviation of s=5s=5 hours. He would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 95% level of confidence.

What sample size should you gather to achieve a 0.5 hour margin of error?

He would need to sample bacteria.
Give your answers as decimals, to two places

I am 99% confident that the mean weight of textbooks is between and ounces.

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random sample of six Denver neighborhoods gave the following information. x 30 3 11 17 7 6 y 177 33 132 127 69 53 Σx = 74; Σy = 591; Σx2 = 1,404; Σy2 = 73,541; Σxy = 9,821 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % (d) For a neighborhood with x = 19% change in population in the past few years, predict the change in the crime rate (per 1000 residents). (Round your answer to one decimal place.) crimes per 1000 residents Need Help? Read It

1. What percentage of the U.S. population is overweight by BMI?
   1. 70%
   2. 90%
   3. 50%
   4. 25%

2.   What are the potential mechanisms for increasing glucose uptake into muscle?
   1. Contraction mediated Glut1 translocation
   2. Insulin mediated Glut4 translocation
   3. Contraction mediated Glut4 translocation
   4. B+C

3. Which of the following is NOT a precaution that should be taken to reduce the risk of exercise- induced hypoglycemia (low blood sugar) in patients with type 1 diabetes?
   1. Consume carbohydrate if glucose is <100 mg/dl
   2. Avoid exercising during peak insulin action
   3. Reduce insulin dose on exercise days
   4. Increase insulin dose immediately after exercise

4. A 44 year old male who is obese but otherwise healthy and his father had type 2 Diabetes and had died at 67 from MI, would be classified as medium risk according to the ACSM risk stratification tool. Why is that?
   1. He should be classified as low risk since he has only 1 risk factor: obesity
   2. He has 2 risk factors: obesity and family history
   3. He has 2 risk factors: obesity and assumed pre-diabetic
   4. He has 3 risk factors: age, obesity and family history

5. People classified as ‘High Risk’ using the ACSM risk stratification tool may never exercise.
   1. True
   2. False

6. According to the ACSM guidelines, which of the following individuals meets the criteria for “family history” as a risk factor for developing CVD?
   1. female whose maternal uncle had a heart attack at the age of 58
   2. a male whose mother had coronary bypass surgery at the age of 70
   3. a female whose father died at the age of 63 from a heart attack
   4. a male whose father had a heart attack at the age of 48

7. Which of the following would be categorized as ‘High Risk’?
   1. Male, 25 year old smoker. Healthy and physically active.
   2. Female, 60 year old. Sedentary, BMI=31
   3. Male 65 year old. Sedentary, former smoker.
   4. Female 30 year old. Physically active, Mom died of MI at 64 years. Type 1 diabetic.
   5. B+C

8. Which of the following would be categorized as ‘Moderate Risk’?
   1. Male, 25 year old smoker. Healthy and physically active.
   2. Female, 60 year old. Sedentary, BMI=31
   3. Male 65 year old. Sedentary, former smoker.
   4. Female 30 year old. Physically active, Mom died of MI at 64 years. Type 1 diabetic.
   5. B+C

9. Which of the following would be categorized as ‘Low Risk’?
   1. Male, 25 year old smoker. Healthy and physically active.
   2. Female, 60 year old. Sedentary, BMI=31
   3. Male 65 year old. Sedentary, former smoker. On hypertension medication.
   4. Female 30 year old. Physically active, Mom died of MI at 64 years. Type 1 diabetic.
   5. B+C

10. How does exercise affect glucose metabolism in healthy individuals?
    1. Blood glucose is maintained by decreased insulin and increased counter-regulatory hormones
    2. Blood glucose decreases because of increased insulin production
    3. Blood glucose is maintained by decreased counter-regulatory hormones
    4. Blood glucose increases due to increased gut absorption

PLEASE ANSWER ALL OF THE QUESTIONS! THANKS!

1. A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 7% margin of error at a 90% confidence level, what size of sample is needed?

2. You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.14. You would like to be 99% confident that your estimate is within 2.5% of the true population proportion. How large of a sample size is required?

3. You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 74%. You would like to be 90% confident that your estimate is within 3% of the true population proportion. How large of a sample size is required?

n = ____

4. You measure 23 watermelons' weights, and find they have a mean weight of 47 ounces. Assume the population standard deviation is 12.5 ounces. Based on this, what is the maximal margin of error associated with a 95% confidence interval for the true population mean watermelon weight.

Give your answer as a decimal, to two places

±________ ounces

5. You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=71.1σ=71.1. You would like to be 95% confident that your estimate is within 10 of the true population mean. How large of a sample size is required?

n = _____

Description A large percentage of drugs (>60%) are based on natural products that have been isolated from nature. For this assignment, pick a drug that is a natural product or is based on the structure of a natural product. The compound is required to have at least 4 chiral carbons. Students must choose a unique compound. Post the structure of the drug. (1 point) List four functional groups that are in the molecule. (2 points) Identify the chiral carbons and configuration (R or S) for each carbon. (2 points) Describe what the drug is used to treat. (1 point) List the source of the natural product. (2 points) List an interesting fact or why you picked this compound. (1 point) Include reference(s). (1 point)