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# Descriptive Statistics

### Defective Output Units

Units of output from a normally distributed process (which has a mean of 60cm and a standard deviation of 0.3cm) are considered acceptable so long as they fall within the interval of 59.46cm to 60.54cm. If the process mean and standard deviation remain constant, what proportion of the output from this process will be defectiv

### Calculating taxable income

Madison Metals recently reported \$9,000 of sales, \$6,000 of operating costs other than depreciation, and \$1,500 of depreciation. The company had no amortization charges and no non-operating income. It had issued \$4,000 of bonds that carry a 7% interest rate, and its federal-plus-state income tax rate was 40%. What was the fi

### "B" vs. "Beta"

In statistics, what is the difference between B and symbol B?

### BIP Model

Reconsider the California Manufacturing Co. case study (attached). The mayor of San Diego now has contacted the company's president, Armando Ortega, to try to persuade him to build a factory and perhaps a warehouse in that city. With the tax incentives being offered the company, Armando's staff estimates that the net present val

### Estimate µ using the mean of the sample

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, µ of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate µ using the

### PMF and expected value

The number N of residential homes that a fire company can serve depends on the distance R (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that N proportional to the area of a circle R from the firehouse, then N=C(pi)R^2, where C is a constant, R is a random variable denoting the

### Statistics -Cell Phones and Brain Cancer

In a study of 420,095 cell phone users in Denmark, it was found that 135 developed cancer of the brain or nervous system. If we assume that such cancer is not affected by cell phones, the probability of a person having such a cancer is 0.000340. a. Assuming that cell phones have no effect on cancer, find the mean and standard

### Gender Selection: Microsort Method

In a test of the MicroSort method of gender selection, 51 babies are born to couples trying to have baby boys, and 39 of those babies are boys (based on data from the Genetics & IVF Institute). a. If the gender-selection method has no effect and boys and girls are equally likely, find the mean and standard deviation for the n

### Frequency distribution: finding the mean and variance

The following distribution shows the prices of books at a college. Class Frequency(Fi) Class Mark(Xi) FiXi 10-20 10 15 150 20-30 15 25 375 30-40 15 35 525 40-50 20 45 900 Find the mean and the variance

### Quantitative Research Methods - Need help in formulating a theory about the correlation between measurable independent variables (causes) and one measurable dependent variable (the effect). Be sure to have ... (See attachment for details)

Need help in formulating a theory about the correlation between measurable independent variables (causes) and one measurable dependent variable (the effect). Be sure to have at least two independent variables. 1) Purpose Statement In one paragraph, state the correlation and identify the primary independent variables. State

### EOQ Model and Quantity Discount

Apply the EOQ model to the following quantity discount situation in which D=500 units per year, C0=\$40, and the annual holding cost rate is 20%. What order quantity do you recommend? Discount Category Order Size Discount (%) Unit Cost 1 0 to 99 0

### Proportion of Newspaper Subscribers

Two newspapers, paper A and paper B, are published in a large city. A survey reveals that 22% of the households in the city subscribe to the A, 35% subscribe to B and 6% subscribe to both. What proportion of the households in the city subscribe to at least one newspaper?+33

### 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

### Activity cost behavior

120 Professional Hrs 150 Professional Hrs Type of cost Salaries Sr. Accountant \$2500 \$2500 Fixed Office assistant \$1200 \$1200 Fixed Internet and software subscriptions \$700 \$850 Mixed Consulting by Sr Partner \$1200 \$1500 Variable Depreciation 2400 2400 Fixed Supplies 905 1100 Mixed Administration 500 500 Fixed Rent

### 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

### Calculations for Flea Market Bargains

Flee Market Bargains sells cartoon watches that have a cost of \$10.00. All unsold watches may be returned to the supplier. Booth rental costs \$ 100.00 for the day. The selling price of the watches is \$20.00. Use the above information to calculate the number of watches (units) and the sales dollars we need in order for our flea

### Break even point - Hamburger Joe's sells the best burgers

Hamburger Joe's sells the best burgers in town. The variable unit cost for making one burger is \$.97. The fixed cost of making burgers for 12 months will be a total of: \$140,000. Remember, fixed costs cover things like your rent, your phone bill, and insurance coverage - these items tend not to vary in amount per month over the

### 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?

### Statistics- Standard Deviation - Frquency Chart

What is your age today? Explain why the descriptive stats could be important to your college, how might the college use the info to determine their market. ... [Please see the attached question file].