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# Quantative Analysis of Data

### Descriptive Statistics: sample mean, median, mode and range

At the start of the 1999 NCAA men's basketball tournament, 64 teams were invited to compete for the national championship. Below is the number of victories that a sample of 8 of these teams had obtained during the regular season: 32 12 28 22 20 25 22 19 1) What is the sample mean number of regular season victories? 2)

### Central Tendency in Statistics

A researcher conducted a study to record the colors of students' eyes. The appropriate measure(s) of central tendency is (are): A) The mode B) The median C) The mean D) Both the mode and the median

### Equity beta

ABC Corp. is a firm with all-equity financing. Its equity beta is .80. The Treasury bill rate is 4% and the market risk premium is expected to be 10%. a. What is ABC's asset (equity) beta? b. What is its weighted average cost of capital? The firm is exempt from paying taxes.

### Hypergeometric distribution

An instructor who taught two sections of engineering statistics last term, the first with 20 students and the second with 30, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. a. What are the mean value and standa

### Asset beta

ABC Corp. is a firm with all-equity financing. Its equity beta is .80. The Treasury bill rate is 4 per cent and, and the market risk premium is expected to be 10 per cent. What is ABC's asset(equity) beta? What is its weighted average cost of capital? The firm is exempt from paying taxes.

### Descriptive statistics on percentile

If the weights of silver salmon are normally distributed with mean 4.2 kilograms and standard deviation 1.5 kilograms. a. What percent of salmon weigh between 3 and 4 kilograms? b. What is the forty-fourth percentile of salmon weights?

### Finding mean, median, mode, box plot and histogram

Here are ages of students in a class: 22, 20, 35, 18, 23, 31, 29, 36, 21, 18, 28, 18. a. Find the mean of the data. b. Find the standard deviation of the data. c. Find the median of the data. d. Find the mode of the data. e. Find the first quartile of the data. f. Draw the boxplot of the data. g. Draw a his

### Central tendency

Using the Cheerio-Paste data 1. Show three measures of central tendency for the dependent variable. 2. Is this distribution skewed? If so, in what direction? Explain your answer. 3. Why would you NOT attempt to determine the central tendency of the independent variables? 4. Determine the mean scores for men versus

### Statistical applications ...

Experience suggests that spot speeed data at a given location is normally distributed whith a mean of 56 mph and a standard deviation of 7.6 mph. What is the speed below which 85% of the vehicles are traveling?

### Methods of Computation

11. For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation: 2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0 12. For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard devia

### Distribution skewness

For air travelers, one of the biggest complaints is of the waiting time between when the airplane taxis away from the terminal until the flight takes off. This waiting time is known to have a skewed-right distribution with a mean of 10 minutes and a standard deviation of 8 minutes. Suppose 100 flights have been randomly sampled

### Descriptive Statistics - Salaries for the New York Yankees

I can figure out the mean and the median, but I am very unclear as to what or how I am supposed to figure out the Pearson's method. Can someone help me? 106. Listed below are the salaries for the New York Yankees for the year 2000. The salary information is reported in millions of dollars. \$9.86 \$9.50 \$8.25 \$6.25 \$6.

### 1. The mean, median, and mode are the most common measures of dispersion (spread). _____(T/F) 2. Each set of data has four quartiles; they divide the ranked data into four equal quarters. _____ (T/F) 3. The standard score (or z-score) identifies the position of a particular value of x has relative to the mean, measured in standard deviations. _____ (T/F) 4. For any distribution, the sum of the deviations from the mean equals zero. _____ (T/F) 5. Ina data set, the mode will always be unique. _____ (T/F) 6. Correlation coefficients range between 0 and +1. _____ (T/F) 7. The line of best fit is used to predict the average value of y that can be expected to occur at a given value of x. _____ (T/F)

Part I T/F and Multiple Choice Questions 1. The mean, median, and mode are the most common measures of dispersion (spread). _____(T/F) 2. Each set of data has four quartiles; they divide the ranked data into four equal quarters. _____ (T/F) 3. The standard score (or z-score) identifies the position of a particular va

### Essentials of Invesments: value of portfolio, standard deviation, return on stock, CAL

Textbook: Essentials of Investments Chapter 5 (1, 2, 13, and 19) 1. A portfolio of nondividend-paying stocks earned a geometric mean return of 5.0% between January 1, 2001, and December 31, 2007. The arithmetic mean return for the same period was 6.0%. If the market value of the portfolio at the beginning of 2001 wa

### Affects of distribution skew.

In left skewed distributions, which of the following is the correct statement: 1) The distance from Q1 to Q2 is smaller than the distance from Q2 to Q1 2) The distance from the smallest observation to Q1 is larger than the distance from Q3 to the largest observation 3) The distance from the smallest observation to Q2 is sma

### Calculation of skewness

Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid and have no private health insurance. The ages of 25 uninsured senior citizens were as follows: 60 61 62 63 64 6

### Some graphical LPP problems

Please show all work, Thanks ---------------------------------------------------- 1. A clothier makes coats and slacks. the two resources are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coat requires 3 square yards of wool and 10 hours of labor, whereas each pair

### Provide basic statistical calculations including mean, median, mode, range, variance, and standard deviation. Also given demand equations find algebraic solutions and provide graphs.

Here are some basic demand curve questions I'd like to verify with my solutions. 1 The number of deliveries per week for a sample of six customers. 3 4 5 6 2 4 A. Calculate the mean, median, and mode measures of central tendency for t

### C chart, p chart

1) When the purpose of sampling is to detect when a process becomes too variable the chart of choice will be a c-chart? True or false/ 2. forty samples of size 1,000 were drawn from a manufacturing process and the number of defectives in each sample was counted. The mean sample proportion was 0.05. the centerline for the

### Sum and average of scores

Show the sum of this list of student scores. If you want to get fancy, show both the sum and the Average. In statistics we call the average by the name of "the mean", but in Excel, it is still called the average. Hint. Look at the excel functions for statistics. See the Insert menu, or find the icon fx. Student score data

### Statistics: A Linear Programming (LP) problem on computing costs, demand, and profit.

*10. Consider the production, sales inventory, and capacity limits stated below for the manufacture of small turbine engines used in auxiliary power units, ground support equipment and various other uses. The company expects to market the unit for \$50,000 each in quarters one and two and to raise the price to \$55,000 for the

### Examine measures of central tendency within a study

A research team at a large university hospital has just completed a pilot study of an innovative new treatment that is intended to be used to treat patients in the later stages of prostate cancer. They had 12 patients, males, ranging in age from 47 to 73. All had been diagnosed as in stage 4 of the disease within 4 weeks of agre

### Statistics definitions/questions

- what is a z-test? - what is the difference between a t-distribution and a normal distribution - provide an example. - 50 samples of a certain brand of headphones is taken from a Radio Shack warehouse. A standard deviation of 5 is assessed. What is the standard error of the mean? - to what type of binomial problem would we a

### Mean, Medium, Mode and variance

Week 2 Discussion Question #1 due day 3: A. Population mean versus sample mean. Explain the difference. (Please see attachment for formulas) B. Mean, median and mode. How are they used and which is more useful. Why? C. Variance and standard deviation. What does it measure and which is more useful. Why? D. Wha

### Standard Deviation in a Gambling Scenario

Two craps tables collect an average of \$500 per hour. One table has a standard deviation of \$50 while the other has a standard deviation of \$150. What conclusion can be drawn from the data? Normally, would one want a larger of smaller standard deviation? Please discuss and show any work associated with this question. Thanks

### Analysis of Customer's Incomes

You are interested in the incomes of your corporate customers. A sample of your customer's incomes yields the following distribution of incomes: \$100,000, \$200,000, \$200,000, \$300,000, \$300,000, \$300,000, \$400,000, \$400,000, and \$500,000. 1) What is the appropriate measure of central tendency and why? 2) What is the appr

### Case Study on Transportation Model Using Minimization Method

The Martin Company is in the process of planning for new production facilities and developing a more efficient distribution system design. At present, it has one plant at St.Louis with a capacity of 30000 units. Because of increased demand, management is considering four potential new plant sites: Detroit, Denver, Toledo and Kan

### Finding Mean and Standard Deviation: Example Problem

At the start of the study the mean of the group was 24 and the end of the study the mean of the group was 30. The standard deviation of the difference scores was 12.0 and we had 16 subjects. a) Was there a significant change in the patients condition over the course of the study? b) Suppose we repeated the study and got e

### Cartoon Statistical Analysis

For the 10 cartoons examined, the counts were as follows: 27, 12, 16, 22, 15, 30, 14, 30, 11 and 21. Determine the mean and the median for these data. Is there a mode? If so, what is the value? Also, determine the range, the mean absolute deviation, the standard deviation and the variance. Show formulas.

### Evaluate the Effectiveness of a Large Freezer

See the attached file. INSTRUCTION: StatPro [or similar Excel addin programs] generates new sheets for each problem and deletes previous sheets with the same name. If you want to keep a sheet for your solution, then rename it immediately by prefixing the problem number. You may need suffix numbers to keep the names unique.