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# Quantative Analysis of Data

### 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.

### Construct Hypothesis Tests in Excel for Employees

Please help setting up and solving the following problem in Excel. The problem with all necessary data are contained in the attached excel spread sheet. MegaStat or similar excel add-in program may be used for the solution. INSTRUCTIONS: StatPro [or other excel statistics program] generates new sheets for each problem an

### Estimate and Interpret a Population Variance

See the attached file. With the data below can you tell me how I would estimate and interpret a population mean with the population standard deviation unknown. Title Gross (\$) in Millions Aliens 81.843 Armageddon 194.125 As Good As It Gets 147.54 Braveheart 75.6 Chasing Amy 12.006 Contact 100.853 Dante's Peak 67.

### Survey on Population of American Intellectual Union

Details: The data set for our course is a sample of a survey conducted on the population of the American Intellectual Union (AIU). It is available via the following link: DataSet with DataSet Key which contains the following nine sections of data that will be used throughout our course: (1) Gender (2) Age (3) Department (4)

### Measuring Central Tendency

This Discussion will give you the opportunity to calculate or identify the three measures of central tendency. Select an appropriate real life situation where one measure would be more appropriate than the other two measures of center. a. Select a common topic or hypothesis and record the topic in your posting, for exa

### Determining Percentage of Population that is Non-Diabetic

Fasting blood glucose levels range from 4.2- 5.8mmol/L. Suppose the mean fasting glucose level for the Canadian population is 5.00mmol/L. If the standard deviation is 0.6 and we use 7.0 as our definition of diabetes, what percentage of the population would be non-diabetic?

### Standard deviation when performing a t-test

Why is it not necessary to have/use a standard deviation when performing a t-test but you need one with a z-test? If you were to add one step to better understand the five-step process, what would that be? How would it make the calculations, or process, easier?

### 3 statistic problems: percentile, box and whisker plots, interquartile range, quartiles, outliers

1. Grades: Test scores: Clayton and timothy took different sections of Introduction to Economics. Each section had a different final exam. Timothy scored 83 out of 100 and had a percentile rank in his class of 72. Clayton scored 85 out of 100 but his percentile rank in his class was 70. Who performed better with respect to th

### TRUE OR FALSE , MULTIPLE CHOICE, CONFIDENCE INTERVAL

TRUE OR FALSE 1._____The arithmetic mean is the sum of the observations divided by the total number of observations. 2._____There are always as many values above the mean as below it. 3._____The standard deviation is the positive square root of the variance. It is a measure of dispersion in the same units as the ori

### Example Questions and Answers in Statistics

Question 2: All 6 members of a family work. Their hourly wages (in dollars) are 18, 26, 31, 10, 13, 40 Assuming that these wages constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places. Question 3: Petroleum pollution in oceans stimulates t

### Qualitative or Quantitative ...

Identify the population and the sample: A survey of 787 small-business managers found that 72% are optimistic about the future of their company. Determine whether the numerical value describes a parameter or a statistic: 19% of a sample of Indiana 9th graders surveyed smoked cigarettes daily. Determine whether the data are q

### Expected return and standard deviation....

The probability the economy will contract is 0.2, the probability of moderate growth is 0.6, and the probability of a rapid expansion is 0.2 If the economy contracts, the expected retun on the portfolio is 5%. Moderate growth will have an 8% return, and rapid expansion will return 15%. What is the expected return? What is

### Statistics: The Mean Diastolic Blood Pressure

Confidence interval for the population mean: Use of the standard normal Scenario: The mean diastolic blood pressure for a random sample of 90 people was 92 millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be 12 millimeters of mercury, find a 90% confidence interval for the tr

### Statistics and Excel Formulas: Service Times

The manager of a fast-food establishment periodically monitors various aspects of its operations, including service time, i.e., the time (in seconds) between placing and receiving an order. Below are the service times for a sample of 48 recent drive-through customers. 84 78 76 95 84 101 91 78 121 99 104 95 74 8

### Qualitative variable and quantitative variable

Can you please provide one example of a Qualitative data and one example of a Quantitative Data that you face daily? Please explain why it is a Quantitative or Qualitative data and describe the scale of measurement .

### Computing mean, median, mode, variance, standard deviation

1. The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41, and 22. What are the population mean, variance, and standard deviation? 2. The weights of a sample of seven FedEx shipments, to the nearest pound, are 10, 7, 11, 10, 13, 5, and 4. Compute the sample mean, the median, and the moda

### Quantitative methods - Expressing Constraint into algebraic expressions

Please see attached document for complete details, some of the signs may not print here. 1. Constraint Assume that x2, x7 and x8 are the dollars invested in three different common stocks from New York stock exchange. In order to diversify the investments, the investing company requires that no more than 60% of the dollars i

### Central tendency, skewed distributions, discrete and continuous probability distributions, and standard normal distributions

Question 1: When is the mean the best measure of central tendency? When is the median the best measure of central tendency? Explain. Questions 2: A researcher has determined that the distribution of annual salaries of NBA players is bell-shaped and symmetrical about the mean salary, do you think that introducing Michael

### The Bookstall, Inc., is a specialty bookstore concentrating on used books sold via the Internet. Paperbacks are \$1.00 each, and hardcover books are \$3.50. Of the 50 books sold last Tuesday morning, 40 were paperback and the rest were hardcover. What was the weighted mean price of a book?

The Bookstall, Inc., is a specialty bookstore concentrating on used books sold via the Internet. Paperbacks are \$1.00 each, and hardcover books are \$3.50. Of the 50 books sold last Tuesday morning, 40 were paperback and the rest were hardcover. What was the weighted mean price of a book?

### Calculating Dispersion and Confidence Intervals

Gas Price Gas Price Gas Price \$3.76 \$3.99 \$4.25 \$3.79 \$3.99 \$4.25 \$3.79 \$4.00 \$4.25 \$3.80 \$4.00 \$4.25 \$3.81 \$4.03 \$4.25 \$3.82 \$4.05 \$4.29 \$3.84 \$4.05 \$4.29 \$3.85 \$4.07 \$4.29 \$3.86 \$4.08 \$4.29 \$3.87 \$4.09 \$4.29 \$3.87 \$4.09 \$4.36 \$3.87 \$4.09 \$4.36 \$3.89 \$4.09 \$4.36 \$3.89 \$4.11

### Temperature measuring output of a production process

Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is µ = 128.5 and the standard deviation is σ = .4. a.Construct the x¯ chart for this process if samples of size 6 are to be used. b.In the process in control for a sample providing the following da

### Quantitative methods - Sensitivity

Please see attached 3 problems. Here's the process I want you to use to answer sensitivity questions. For attached problems, please copy and paste the sensitivity report from QM for Windows. ? Determine if the change is within the permitted boundaries. If it is, the answer to your question can be found within the data.