The following case will appear in subsequent review sections. Assume that you work in the Planning Department of the Century National Bank and report to Ms. Lamberg. You will need to do some data analysis and prepare a short written report. Remember, Mr. Selig is the president of the bank, so you will want to ensure that your report is complete and accurate. A copy of data appears in Appendix N. (EXCEL)

Century National Bank has offices in several cities in the Midwest and the southeastern part of the United States. Mr. Dan Selig, president and CEO, would like to know the characteristics of his checking account customers. What is the balance of a typical customer?

How many other bank services do the checking account customers use? Do the customers use the ATM service and, if so, how often? What about debit cards? Who uses them, and how often are they used?

To better understand the customers, Mr. Selig asked Ms. Wendy Lamberg, director of planning, to select a sample of customers and prepare a report. To begin, she has appointed a team from her staff. You are the head of the tea m and responsible for preparing the report. You select a random sample of 60 customers. In addition to the balance in each account at the end of the last month, you determine: (1) the number of ATM transactions in the last month; (2) the number of other bank services (a savings account a certificate of deposit, etc.) the customer uses; (3) whether the customer has a debit card (this is a bank service in which charges are made directly to the customer’s account) and (4) whether or not interest is paid on the checking account. The sample includes customers from the branches in Cincinnati, Ohio; Atlanta, GA; Louisville KY; and Erie PA.

1. Develop a graph or table that portrays the checking balances. What is the balance of a typical customer? Do many customers have more than $2,000 in their accounts? Does it appear that there is a difference in the...

...StandardDeviation
objective
• Describe standarddeviation and
it’s importance in biostatistics.
Measure of Dispersion
• Indicates how widely the scores
are dispersed around the central
point (or mean.)
-StandarddeviationStandardDeviation.
• The most commonly used method
of dispersion in oral hygiene.
• The larger the standarddeviation,
the wider the distribution curve.
StandardDeviation
• SD, , (sigma)
• Indicates how subjects differ from
the average of the group/ the more
they spread out, the larger the
deviation
• Based upon ALL scores, not just
high/low or middle half
• Analyzes descriptively the spread of
scores around the mean
– 14+ 2.51 = Mean of 14 and SD of
2.51
StandardDeviation
• The spread of scores around the
mean:
• For example, if the mean is 60 and
the standarddeviation 10, the
lowest score might be around 30,
and the highest score might be
around 90.
StandardDeviation &
Variance
Usefulness
• When comparing the amount of dispersion in
two data sets.
• Greater variance = greater dispersion
• Standarddeviation--”average” difference
between the mean of a sample and each data
value in the sample
14+ 2.51 = Mean of 14 and SD of 2.51
Distribution...

...I'll be honest. Standarddeviation is a more difficult concept than the others we've covered. And unless you are writing for a specialized, professional audience, you'll probably never use the words "standarddeviation" in a story. But that doesn't mean you should ignore this concept.
The standarddeviation is kind of the "mean of the mean," and often can help you find the story behind the data. To understand this concept, it can help to learn about what statisticians call normal distribution of data.
A normal distribution of data means that most of the examples in a set of data are close to the "average," while relatively few examples tend to one extreme or the other.
Let's say you are writing a story about nutrition. You need to look at people's typical daily calorie consumption. Like most data, the numbers for people's typical consumption probably will turn out to be normally distributed. That is, for most people, their consumption will be close to the mean, while fewer people eat a lot more or a lot less than the mean.
When you think about it, that's just common sense. Not that many people are getting by on a single serving of kelp and rice. Or on eight meals of steak and milkshakes. Most people lie somewhere in between.
If you looked at normally distributed data on a graph, it would look something like this:
The x-axis (the horizontal one) is the value in question......

...Deviation
Definition:
Behavior commonly seen in children that is the result of some obstacle to normal development such behavior may be commonly understand as negative (a timid child, a destructive child) or positive (a quite child), both positive and negative deviation will disappear once the child begins to concentrate on a piece of work freely chosen by him.
The physical deforms are easier to identify. This can be by birth due to an accident etc… and most such physical deforms can be either cured. However, deforms that take place in development of psychological aspects of a child are not only threat to building the character and the personality of the child also you find certain physical deforms in curable in medicine.
Dr. Montessori, according to her she fugues deviated children are.
The naughty children act and react very strong as a result of severe treatment they have received. So their behavior is cruel from others.
The weak children are always mistaken for good children and parent are happy because of their timidly and but they are lazy and afraid of everything.
The bright children are very imaginative and live in their own fantasy world.
Deviations shown by the strong and weak children are:
In the absorbent mind Montessori discussed deviation shown by the strong, meaning those who resist and overcome the obstacles they meet and deviation...

...
2. What are the demographics of the average Remington’s patron?
3. What are the most and least important factors to Remington’s patrons in selecting a restaurant?
4. What are Remington’s Steakhouse scores on each of the six perception measures of: has large portions, has competent employees, has excellent food quality, has quick service, has a good atmosphere and has reasonable prices?
5. Is Remington’s delivering on the characteristics that patrons want when selecting a restaurant?
6. Is there a relationship between “satisfaction with Remington’s” and each of the following perceptions; has large portions, has competent employees, has excellent food quality and has quick service?
Literature Review
According to the National Restaurant Association (2011), 2011 Florida restaurant sales are projected to be $30.1 billion in sales with Florida having 34,035 restaurants in 2009. The NRA (2011) states that in 1955 25% of each dollar spent on food was in a restaurant compared to 49% presently. Given this growth trend, restaurant owners are faced with ever increasing demand being offset by concurrent competition growth. To drive customer growth and repeat business a detailed examination of the literature is necessary to determine what others have found to be dominate factors in accomplishing this goal.
Employees must first align their perceptions of service quality to what the customer’s perceptions are (Becker & Wellins 1990)....

...StandardDeviation (continued)
L.O.: To find the mean and standarddeviation from a frequency table.
The formula for the standarddeviation of a set of data is [pic]
Recap question
A sample of 60 matchboxes gave the following results for the variable x (the number of matches in a box):
[pic].
Calculate the mean and standarddeviation for x.
Introductory example for finding the mean and standarddeviation for a table:
The table shows the number of children living in a sample of households:
|Number of children, x |Frequency, f |xf |x2f |
|0 |14 |0 × 14 = 0 |02 × 14 = 0 |
|1 |12 |1 × 12 = 12 | |
|2 |8 | | |
|3 |6 | |32 × 6 = 54 |
|TOTAL |[pic]...

...MEASURES
MULTIPLE CHOICE QUESTIONS
In the following multiple choice questions, circle the correct answer.
1. Which of the following provides a measure of central location for the data?
a. standarddeviation
b. mean
c. variance
d. range
Answer: b
2. A numerical value used as a summary measure for a sample, such as sample mean, is known as a
a. population parameter
b. sample parameter
c. sample statistic
d. population mean
Answer: c
3. Since the population size is always larger than the sample size, then the sample statistic
a. can never be larger than the population parameter
b. can never be equal to the population parameter
c. can be smaller, larger, or equal to the population parameter
d. can never be smaller than the population parameter
Answer: c
4. ( is an example of a
a. population parameter
b. sample statistic
c. population variance
d. mode
Answer: a
5. The hourly wages of a sample of 130 system analysts are given below.
mean = 60 range = 20
mode = 73 variance = 324
median = 74
The coefficient of variation equals
a. 0.30%
b. 30%
c. 5.4%
d. 54%
Answer: b
6. The variance of a sample of 169 observations equals 576. The standarddeviation of the sample equals
a. 13
b. 24
c. 576
d. 28,461
Answer: b
7. The median of a sample will always equal the
a. mode
b. mean
c. 50th...

...all adult men in Laramie, Wyoming.
b) all residential addresses in Laramie, Wyoming.
c) the members of the marketing firm that actually conducted the survey.
d) the 100 addresses to which the survey was mailed.
7. The chance that all 100 homes in a particular neighborhood in Laramie end up being the sample of residential addresses selected is
a) the same as for any other set of 100 residential addresses.
b) exactly 0. Simple random samples will spread out the addresses selected.
c) reasonably large due to the “cluster” effect.
d) 100 divided by the size of the population of Laramie.
Costs for standard veterinary services at a local animal hospital follow a Normal distribution with a mean of $80 and a standarddeviation of $20. Answer the next three questions.
8. Give the sample space for the costs of standard veterinary services.
a) {X ≥ 0}
b) { 0 ≤ X ≤ 80}
c) {0 ≤ X ≤ 160}
d) None of these.
9. What is the probability that one bill for veterinary services costs less than $95?
a) 0.75
a) 0.7734
b) 0.2266
c) 0.15
10. What is the probability that one bill for veterinary services costs between $75 and $105?
a) 1
a) 0.25
b) 0.4013
c) 0.4931
11. In an instant lottery, your chances of winning are 0.2. If you play the lottery five times and outcomes are independent, what is the probability that you win at least once?...

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