You are conducting a study comparing two different treatments for post-surgical recovery. Group A, consisting of 10 patients from your clinic, will be given the current standard treatment. Group B, consisting of 10 different patients from your clinic, will be given a new experimental treatment. Both groups of patients have undergone the same surgery in the last month.

Table 1. Number of post-surgical recovery days reported by group.

Given this data, fill out the following chart. Show your work to receive full credit (10 points).

Now that you have completed these descriptive statistics, what conclusions would you draw about the differences between the two groups? (10 points) Hint: Compare the means, medians, modes, ranges, and standard deviations.

Description:
Sprint Nextel has the highest rate of customer churn (the number of customers who discontinue a service) in the cell phone industry, amounting to 2.45 percent. Over the past two years, Sprint has lost 7 million subscribers. Management wants to know why so many customers are leaving Sprint and what can be done to woo them back.

Requirement:
Does Data Mining help the company in unfolding the reasons behind why their customers are leaving? Explain why or why not.

Based on the information provided in the the beginning, answer the question

1. A researcher posits that height is associated with greater income among men. To test this, he records the height (in inches) and income (in thousands of dollars per year) in a random sample of 10 men. Compute Pearson correlation coefficient for the data listed in the following table.

                          Pearson r             _______

2. Add 3 inches to the height of each male. What is the new correlation coefficient?

                          Pearson r             _______

3. Subtract $5,000 of income from each male. What is the new correlation coefficient?

                          Pearson r             _______

4. Divide the height of each male in half. What is the new correlation coefficient?

                          Pearson r             _______

5. Multiply the income of each male by $3,000. What is the new correlation coefficient?

                          Pearson r             _______

6. Does Pearson correlation coefficient change from question 1 to question 5? Explain.
7. Now suppose this income represents thousands of dollars lost in the stock market (instead of income earned). Multiply the income of each male by −1 (to change income to negative values). What is the new correlation coefficient?

                          Pearson r             _______

8. Now does Pearson correlation coefficient change (in question 7)? Explain.

How many bit strings of length eight contain either at least five consecutive 0s or at
least five consecutive 1s? Explain.

Give regular expressions for

(c) C indentifiers

(d) Binary strings consisting of either an odd number of 1s or an odd number of 0s

Description

Mr. Franklin is a 60-year-old patient with a history of a thrombotic cerebrovascular accident two years ago. After the stroke he started with seizure attacks. He has been suffering from hypertension for the last ten years and ulcerative colitis since last year. He currently takes lisinopril, hydrochlorothiazide, aspirin, carbamazepine, and a low dose of prednisone.

Mr. Franklin has been suffering from epigastric pain, sensation of fullness, and occasional nausea for the last six months. This time, he was brought to the ER because, while he was talking to his son, he had a dizzy spell and fell to the floor. He is conscious and is complaining of severe epigastric pain. He began with mild abdominal pain two days after he started taking a new cycle of prednisone for his colitis, around seven days ago. The pain increases when he eats or drinks something. He is also complaining of suffering from pyrosis, malaise, and dizziness, and he has noticed that his feces are dark.

The patient was a heavy alcohol drinker until he had the stroke. He is a cigarette smoker since he was 20 years old. His mother suffered from Alzheimer's disease and died of colon cancer, and his father died of cirrhosis of the liver.

• Abdomen: Pain on palpation on epigastric region
• SOMA: Right hemiplegia and hyperreflexia
• Integumentary system: Pallor, diaphoresis, coldness
• Cardiovascular system: Tachycardia. Blood pressure 70/50 mmHg. Radial pulse 110.
• Digestive system: Tenderness of epigastric region. Rectal exam showed melena.
• Neurologic system: The patient is conscious and well oriented to time, place, and person. Right hemiplegia and hyperreflexia.

Answer the folowing

1. Mr. Franklin, had dizziness and was found on the floor. What traumatic brain injuries do we have to rule out?
2. How do we clinically know if the patient was having a seizure attack?

1. The quality of the orange juice produced by a manufacturer is constantly monitored. There are numerous sensory and chemical components that combine to make the best-tasting orange juice. For example, one manufacturer has developed a quantitative index of the “Sweetness” of orange juice (the higher the index, the sweeter the juice). Is there a relationship between the sweetness index and a chemical measure such as the amount of water-soluble pectin (parts per million) in the orange juice? Data collected on these two variables for 30 production runs at a juice manufacturing plant are shown in the table. Suppose a manufacturer wants to use simple linear regression to predict the sweetness from the amount of pectin. Perform the linear regression analysis and answer the following questions.

1. Is the whole regression model significant in predicting the sweetness of orange juice? Make sure to show which values you use to make the decision (2 points).

2. Write down the regression model using the actual values from regression analysis and actual names of the variables (2 points).

3. What is the value of the estimated slope? Interpret the value of the estimated slope in terms of orange juice sweetness and amounts of pectin (2 points).

4. What is the value of the estimated intercept? Interpret the value in terms of orange juice sweetness and amounts of pectin (2 points).

5. If the amount of pectin is decreased by 5 units, how will the sweetness of the orange juice change? (2 points).

6. Write down the null and alternative hypotheses for the influence of individual variable “Pectin (PPM)” on the sweetness of the orange juice (2 points).

7. What are the statistical values that should be used to make a decision about the rejection of H₀ from a previous question? Use alpha of 0.05. Show an actual value from the regression analysis output (2 points).

8. Find a t-critical for the influence of Pectin (PPM) on the sweetness. Use the alpha of 0.1 (2 points).

9. Does the amount of pectin significantly predict the sweetness of the orange juice? Explain why you have made this conclusion and which numbers you have used to do so. Use the alpha of 0.1. (2 points).

10. Find the value of the coefficient of determination (2 ways, 4 points).

11. Interpret the value of R²found in the previous question (2 points).

(Similar to Ghahramani Section 3.4, Problems 6, 8, and 14) Three black boxes are labeled with Roman numerals I, II and III.

• Box I contains four red chips and three blue chips.

• Box II contains two red chips and five blue chips.

• Box III contains seven red chips and no blue chips. Solve each of the following problems.

(a) Suppose a box is selected at random and three chips are drawn at random from the box. If all three chips are red, what is the probability they were drawn from Box I?

(b) Suppose one chip is selected at random from each box. If two of the three chips drawn are red chips, what is the probability that the chip drawn from Box II was red?

(c) Suppose three chips are randomly selected from Box I and placed in Box III. If a chip subsequently drawn randomly from Box III is blue, what is the probability that all three chips moved from Box I to Box III were blue.

A 50 year old employee contributes 20000 per year to her 401k, and her employer matches her contributions by 40%. The investment company has provided her with two options:

The employee wants to retire at 65. The average rates of return presented are 5% on equity, 3% on bonds, and 1% on money market funds. Calculate the total amount of money at the time of retirement under each option.