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# Central Tendency

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### Mean & Standard Deviation

Find the mean number of games played by the winner of an 8 team double elimination. See attached file for full problem description.

### Trying to calculate expected revenue and variance of the revenue

Suppose that a company produces three different products. The sales for each product are independent of the sales for the others. Product Price Expected Unit sales Variance of Unit Sales A \$3.50 2000 1000 B \$2.00 10000 6400 C \$1.87 8500 1150 1. What are the expected r

### Calculating EVPI based on a decision tree

I'm absolutely lost on how to figure out EVPI using a decision tree. I've attached the decision trees for two items (labeled figure 12.11, 12.12) and I am trying to calculate expected value of perfect information for each tree. I don't know how to set this up manually and the PrecisionTool software for use with Excel that c

### expected value of flips to have n consecutive heads

(See attached file for full problem description) A coin shows heads with probability p. Let X_n be the number of flips required to obtain a run of n consecutive heads. Show that the expected value is

### What is the expected return?

The following payoff matrix is given in dollars: Event Probability Action A Action B 1 0.5 400 700 2 0.5 200 500 The coefficient of variation for Action A is A. 12.8% B. 33.3% C. 133.33% D. 333.33%

### Exponentially weighted moving average for purpose of forecasting

When using the exponentially weighted moving average for purposes of forecasting rather than smoothing A. the previous smoothed value becomes the forecast B. the current smoothed value becomes the forecast C. the next smoothed value becomes the forecast D. None of the above

### Four-quarter weighted moving average for the number of America

Calculate a four-quarter weighted moving average for the number of America Online (AOL) subscribers for the nine quarters of data. The data are reported in thousands. Apply wights of .1, .2, .3 and .4, respectively, for the quarters. In a few words, describe the trend in the number of subscribers.

### Queuing models :minimize expected total cost per hour

The Decision Sciences Department is trying to determine whether to rent a slow or fast copier. The department believes that an employee's time is worth \$15 an hour. The slow copier rents for \$4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for \$15 per hour, and it takes an

### Statistics: Central Tendency Problems

For each group of scores below, determine the following: (a) mean, (b) median, (c) variance, and (d) standard deviation. Set A: 32, 28, 24, 28, 28, 31, 35, 29, 26 Set B: 6, 1, 4, 2, 3, 4, 6, 6

### Mean and Mode Observations

(a) Determine the median and (b) the mode. 10 observations and no two values were the same? 6 observations and they were all the same? 6 observations and the values were 1, 2, 3, 3, 4, and 4? The following are the ages of the 10 people in the video arcade at the Southwyck Shopping Mall at 10 A.M. this morning.

### Probability prediction of sales

The following are sales for the last eight periods: Period Sales 1 750 2 820 3 600 4 850 5

### 3-month Moving Average Prediction

The following are the actual sales for the last six periods: Period Sales 1 750 2 820

### Operations Research : Stochastic single period model to maximize expected profit.

The management of Alaska Airlines has decided to base its overbooking policy of a stochastic single period model to maximize expected profit. This policy now needs to be implemented on a new flight from Seattle to Atlanta. The aircraft has 125 seats available for a one-way fare of \$250. However, since there are commonly a few no

### Determining percentiles, quartiles and deciles

(See attached file for full problem description and data) Determine the median number of calls Determine the first and third quartiles Determine the first decile and the ninth decile Determine the 33rd percentile

### Decision Analysis Questions

All questions have been answered. I just need someone to check the accuracy of my answers. Thank you. True/False Indicate whether the sentence or statement is true or false. T 1. A state of nature is an actual event that may occur in the future. F 2. The maximin criterion results in the maximum

### Measure of Central Tendency: Mean, Median, Mode and Probability

1. Each of the three measures of central tendency?the mean, the median, and the mode?are more appropriate for certain populations than others. The textbook gives some examples on page 347. For each type of measure, give two additional examples of populations where it would be the most appropriate indication of central tendency.

### Expected dividend and stock price

Stock Values. Integrated Potato Chips paid a \$1 per share dividend yesterday. You expect the dividend to grow steadily at a rate of 4 percent per year. a. What is the expected dividend in each of the next 3 years? (See attached file for full problem description)

### Measures of Central Tendency, Mean, Median, Mode and Probability

1. Each of the three measures of central tendency-the mean, the median, and the mode-are more appropriate for certain populations than others. The textbook gives some examples on page 347. Examples: 13, 14, 17,17,18,19 For each type of measure, give two additional examples of populations where it would be the most appropriate i

### Measures of Central Tendency, Mean, Looseness and Tightness of Data Distributions

By far the most frequently utilized of these measures is the mean of a population. Remember that the source of the data that you want to analyze always comes from what is called a population. If you are interested in the average high temperature in your area for the month of July, then your population would be the 31 daily high

### Yield on a 30-year Treasury Note

The yield on a 30-year treasury note at the end of each year since 1990 is recorded below. Compute a five-year weighted moving average using weights of .1, .1, .2, .3, and .3, respectively. Describe the trend in yield. See attached for table. I need help with the steps to solve the problem. Thank you.

### Describe the trend in yield.

The yield on a 30-year treasury note at the end of each year since 1990 is recorded below. Compute a five-year weighted moving average using weights of .1, .1, .2, .3, and .3, respectively. Describe the trend in yield. 1990 8.61 1991 8.14 1992 7.67 1993 6.59 1994 7.37 1995 6.88 1996 6.71 1997 6.61 1998 5.58 1999 5.

### Expected Frequency/independence of attributes

Problem 12.1 For this problem use the following contingency table: A B Total 1 20 30 50 2 30 45 75 Total 50 75 125 a. Find the expected frequency for each cell. ? ANSWER: b. Compare the observed and expected frequencies in each cell. ? ANSWER: c. Compare the X2 statistic. Is it significant at alpha (&#6

### Forecasting: Moving average method

When using moving averages, what is the effect on your data set as you increase the number of periods being averaged?

### Absenteeism study in the workforce

Victor Anderson, the owner of Anderson Belts, Inc., is studying absenteeism among his employees. His workforce is small, consisting of only five employees. For the last three years, he recorded the following number of employee absences, in days, for each quarter. Please see attached.

### Quantitative Methods (5 Stats Problem)

I need help with the included statistics problems. These are practice problems and I am unable to get a good grasp in this area. 11. Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame: Period Demand 1 200 2

### Risk

Problem 1 Suppose the expected returns and standard deviations of stocks A and B are E(RA) = 0.17, E(RB) = 0.27, &#963;A = 0.12, and &#963;B = 0.21, respectively. a. Calculate the expected return and standard deviation of a portfolio that is composed of 35% A and 65% B when the correlation between the returns on A and B is 0.

### Discussing the Distribution of a Data Population

There are several measures of central tendency. By far the most frequently utilized of these measures is the mean of a population. Remember that the source of the data that you want to analyze always comes from what is called a population. If you are interested in the average high temperature in your area for the month of July,

### Ososki Motorcycle

The manufacturer of the Ososki motorcycle advertises that the cycle will average 87 miles per gallon of gasoline. A sample of eight bikes revealed the following mileage: 88, 82, 81, 87, 80, 78, 79, 89 At the .05 level, is the mean mileage less than the advertised 87 miles per gallon?

### Weighted moving average

The yield on a 30-year treasury note at the end of each year since 1990 is recorded below. Compute a five-year weighted moving average using weights of .1, .1, .2, .3, and .3, respectively. Describe the trend in yield 1990 8.61 1991 8.14 1992 7.67 1993 6.59 1994 7.37 1995 6.88 1996 6.71

### Capital-Asset-Pricing : Based on the capital-asset-pricing model, what is the expected return on the above portfolio?

Suppose you have invested \$50,000 in the following four stocks: Security Amount Invested Beta Stock A \$10,000 0.7 Stock B 15,000 1.2 Stock C 12000