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# Descriptive Statistics

### Statistics - Descriptive Statistics

Below are two data sets. Using descriptive statistics, discuss the two data sets in relation to each other. Both data sets come from an operation where potato chips are being placed in small connivance store bags that are to hold 6.0 oz. Data from Machine #1 Data from Machine #2 6.10 6.40 5.90 5.60 6.10 6.10 5.80 5.80

### Statistical question - Why is population shape of concern when estimating a mean? What does sample size have to do with it?

Why is population shape of concern when estimating a mean? What does sample size have to do with it?

### Southern Valley Mills':Assignment problem

4. Southern Valley Mills' Richmond plant has four machine operators to be assigned to four machines. The time in minutes required by each worker to produce 100 pounds of carpet on each machine is shown in the following table: Machine (Min.) Operator A B C D 1

### Empirical rule - Weights of regular coke. Using sample data on the weights of coke, we find that the mean is 0.81682 lbs., the standard deviation is 0.00751 lbs, and the distribtution is approx. bell-shaped. Using the empirical rule, what is the approx percentage of cans of regular coke with weights between 0.80931 lbs. and 0.82433 lbs?

Weights of regular coke. Using sample data on the weights of coke, we find that the mean is 0.81682 lbs., the standard deviation is 0.00751 lbs, and the distribtution is approx. bell-shaped. Using the empirical rule, what is the approx percentage of cans of regular coke with weights between 0.80931 lbs. and 0.82433 lbs?

### Doubling a Volume

1-3-14 Pictographs Taxes in Newport have doubled over the past 10 years, and a candidate for mayor wants to construct a graph that emphasizes that point. She represents taxes 10 years ago by using a box with a width, length, and height all equal to 1 inch. She then doubles each dimension to show a larger box representing

### Farmer Crops to plant next year on his land

1. A farmer in South Carolina must decide which crop to plant next year on his land: corn, peanuts, or soybeans. The return from each crop will be determined by whether a new trade bill with Russia passes the Senate. The profit the farmer will realize from each crop, given two possible results on the trade bill, is shown in the

### Details Regarding Decision Analysis

2. The owner of the Charleston Construction Company must decide between building a housing development, constructing a shopping center, and leasing all the company's equipment to another company. The profit that will result from each alternative will be determined by whether material costs remain stable or increase. The profit f

### Normal Population, Standard Deviation, Interval Estimates

A) After sampling 1000 members of a normal population, you find xbar = 15,500 and s = 9,950. Estimate the population mean with 90% confidence. b) Repeat part a assuming that you know that the population standard deviation is &#963; = 9,950 c) Explain why the interval estimates were virtually identical.

### The UN must evacuate an aid team and their belongings from Iraq. They can hire two types of planes to handle the evacuation. One is an Airbus 201 which can handle 25 passengers and 10 tons of cargo for \$800 per day. The other is a Boeing 179 which can handle 40 passengers and 4 tons of cargo at a cost of \$1000 per day. The evacuation must take out at least 2000 personnel and at least 440 tons of belongings. How many of each type of plane should be chartered to minimize the cost per day and what is that minimum cost per day? ...

The UN must evacuate an aid team and their belongings from Iraq. They can hire two types of planes to handle the evacuation. One is an Airbus 201 which can handle 25 passengers and 10 tons of cargo for \$800 per day. The other is a Boeing 179 which can handle 40 passengers and 4 tons of cargo at a cost of \$1000 per day. The ev

### Estimating Population Mean With Differing Confidence Levels

A) A statistics practitioner took a random sample of 50 observations from a population whose standard deviation is 25 and computed the sample mean to be 100. Estimate the population mean with 90% confidence. b) Repeat part a using a 95% confidence level c) Repeat part a using a 99% confidence level d) Describe the effec

### University Seminar Price Problem

Administrators at a university are planning to offer a summer seminar. It costs \$3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs \$25 per student for the administrators to provide the course materials. If we know that 20 people will attend, what price should be charged per person to break e

### Sample Means and Standard Deviation

Suppose the population mean is 50.6 pounds with a population standard deviation of 1.62 pounds. Suppose we take thousands of samples with a sample size of 5. What will the mean of these sample means be? What will the standard deviation of the sample means be?

### Interval Levels: Ordinal vs. Interval

What do we mean when we mention ordinal level scales vs. interval level scales? Can we contrast the two differences?

### During the "Spring Fling", the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of \$20 per hour, but they only work as one team. Thus, if one person is hired, s/he works alone whereas two or three people would work together on the same broken car.

During the "Spring Fling", the bumper car amusement attraction has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of \$20 per hour, but they only work as one team. Thus, if one person is hired, s/he works alone whereas two or three people would work together on the same broken

### Optimal Order Quantity for Inventory

A store (open 24 hours a day, every day) sells 8-roll packs of paper towels, at the rate of approximately 420 packs per week. Because the towels are so bulky, the annual cost to carry them in inventory is estimated at \$.50 per 8-roll pack. The cost to place an order is \$20. It takes four days for an order to arrive. Currently, S

### Optimal Order Quanity/ ROP

A company distributes a printed guide for the approximate 22,000 visitors it has each year. Holding costs for the brochures are 10% of purchase cost - and it costs \$30 to place an order with the printer (unless you order the largest discount category in which case the order cost drops to \$25). . The printer has a discounted p

### The Executive Camera Company

The Executive Camera Company provides full expenses for its sales force. When attempting to budget automobile expenses for its employees, the financial department uses mileage figures to estimate gas, tire, and repair expenses. Distances driven average 5,650 miles a month, and have a standard deviation of 120. The financial depa

### Hand Lengths of Women in the US Air Force

Women in the U.S. Air Force have hands that are 6.9 inches on the average (from the tip of the middle finger to the heel of the hand). The standard deviation is 0.34 inches. Assume that hand length is normally distributed. (10 points) a. What proportion has hands longer than 7 inches? b. What proportion would have hands sh

### Statistics: Confidence Interval for Tootsie Rolls

A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were: 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to esti

### Stocking a Large Sporting Goods Store: Model Formulation

A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adult Open Trail, the adult Cityscape, the girl's Sea Sprite, and the boy's Trail Blazer. It is assumed that every bike ordered will be sold, and their profits, respectively, are 30, 25, 22, and 20. The LP model shoul

### The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?

The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using

### T distribution and confidence intervals - The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.

The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds. a. What is the value of the population mean? What is the best estimate of this value? b. Explain why we need to use the

### A team of introductory statistics students (with too much free time) when to Marsh and recorded the calories and fat for various kinds of soup. Write a succinct summary of the central tendency, ...

A team of introductory statistics students (with too much free time) when to Marsh and recorded the calories and fat for various kinds of soup. Write a succinct summary of the central tendency, dispersion, and shape of the data. [See the attached Data File.]

### Mean, Median and Coefficient of Skewness

Listed on the MEGASTAT attachment is the average daily circulation for the 50 U. S. newspapers with the largest circulation. Please show all work/outputs. a. Find the mean, median, Q1, and Q3. b. Find the 15th and the 90th percentiles. c. Find the coefficient of skewness and interpret the result. d. Develop a box plot a

### Cost of Serving Peanut Butter

The cost of one serving of peanut butter (in cents) for a random sample of 19 jars of peanut butter was found to be: 22 27 32 26 26 19 16 26 14 21 20 21 20 17 12 32 17 9 16 a) Give the five-number summary (low, Q1, median, Q3, high) b) Calculate the IQR.

### Specificity and Predictive Value

Please see the attachment. 12. Table 1. Results of a screening test for diabetes, using a cutoff point of 160 mg.dl. True Diagnosis Test result Diabetic Not Diabetic Total Positive 34 20 54 Negative 116 9,830 9,946 Total 150 9,850 10,000 The specificity of the screening test for diabetes is a. 0.3% b.

### Describes at least 3 different statistical usages in daily life

Considering all of the day to day activities you are engaged in at work and in your personal lives, write a 200 (or more) word paper that describes at least three (3) different statistical usages that you see regularly. For each, describe how the statistics enhance the understanding of an issue or problem for the reader. Finally

### Level of measurement, sample and population

2. What is the level of measurement for these items related to the newspaper business? (page 14) a. The number of papers sold each Sunday during 2004. b. The departments, such as editorial, advertising, sports, etc. c. A summary of the number of papers sold by county. d. The number of years with the paper for each employee

### Cal and Becky have known each other since high school

Cal and Becky have known each other since high school. Two years ago, they entered the same university, and today they are taking undergraduate courses in the business school. Both hope to graduate with degrees in finance. In an attempt to make extra money and to use some of the knowledge gained from their business courses, C