Show your work to receive partial credit.
PLEASE DO NOT USE ANY RED FONTS

#1 Find the standard error of the mean for each sampling situation (assuming a normal population). What happens to the standard error each time you quadruple the sample size? a. σ = 36, n = 9 36

√9=12
b. σ = 36, n = 36 36
√36=6
c. σ = 36, n = 144 =3

formula SE= σ
√n

#2. A sample was taken of 36 people attending a school with an annual average tuition of $3800 and the population standard deviation of $620. Find the 95% confidence interval of the true mean. 3,800+1.960 (620/√36) =4,002.5

3,800- 1.960 (620/√36)=3,597.5 I am 95% confident the # is between 4,002.5 and 3,597.5 _
formula CI= X + Z(s/√n

#3 A sample of 25 bank loan customers showed initial application times to have a mean of 22.55 minutes and a standard deviation of 3.8minutes. A) Find a 99 percent confidence interval for μ, assuming that the sample is from a normal population. B) How could the confidence interval be made narrower? 22.55+2.576 (3.8/√25)= 24.50

22.55- 2.576 (3.8/√250=20.60 I am 99% confident the #is between 24.50 and 20.60 _
Formula CI= X + Z(s/√n

#4 A prior study showed that the average ATM cash deposit took 60 seconds with a standard deviation of 12 seconds. The study is to be repeated this year. How large a sample would be needed to estimate this year’s mean with 99 percent confidence and an error of + or - 2 seconds? 60+2.576 (12)

...Business system anaylsis
Problems and Exercises
Week 5 Homework
Tom Sanders
DeVry University
Professor Girten
September 30, 2014
Problems and Exercises
Chapter 8
Question 3 - Imagine the worst possible reports from a system. What is wrong with them? List as many problems as you can. What are the consequences of such reports? What could go wrong as a result? How does the prototyping process help guard against each problem?
The incorrect data entered, or the software error of the system can cause the wrong result.
The problems can be
1. Wrong entry of data.
2. Inefficient Users to the system.
3. Software Error
The consequences are:
1. Wrong outputs.
2. Wrong decisions made.
3. Loss to the Company.
The whole process of the Company can go wrong as every repot generally are interconnected with each other. So if the output of any one is wrong the other reports may also show wrong results.
The prototyping process is where there is a systematic way of doing things. We have 4 phases in prototyping process Planning, specification, Design and Result. If all these are followed in a
Question 4 - Given the guidelines presented in this chapter, identify flaws in the design of the Report of Employees shown below. What assumptions about users and tasks did you make in order to assess this design? Redesign this report to correct these flaws.
The flaws in this design do not...

...Web Calculator Exercise5
ANOVAs
1. A researcher is interested in comparing the effectiveness of three different kinds of therapy for anger problems. Eight participants are randomly assigned to three treatment conditions: Cognitive Therapy (CT), Cognitive-Behavioral Therapy (CBT), and Interpersonal Therapy (IT). All participants complete the weekly treatment for 8 weeks. Participants take an anger test before and after the 8-week treatments. Each participant’s difference score (= anger score after the treatment minus (–) anger score before the treatment) is shown in the following table. The three therapists in this experiment have equal educational levels and clinical experiences.
CT | CBT | IT |
3 | 5 | 7 |
4 | 4 | 8 |
4 | 6 | 9 |
4 | 6 | 10 |
3 | 5 | 6 |
8 | 4 | 7 |
6 | 9 | 11 |
2 | 7 | 10 |
| | |
a. What statistical test should be used to analyze the data?
The between subjects one-way randomized ANOVA should be used to analyze the data. Although the total number of participants is not indicated it would not make sense to have each participant in the three different therapies either concurrently or consecutively. The data are on an interval/ratio scale. The following assumptions are met:
● The underlying distribution is normally distributed.
● The variances among the populations being compared are
homogeneous.
● The observations are all independent of one another.
b....

...to have P3,000 for a vacation to Europe in 3 years?
-Final Amount
*Find the final amount of the investment. P10,000 invested at 6% compounded quarterly for 5 1/2 years
-Present Value
*Mark is investing P5000 at 6% per annum, compounded quarterly for 3 years. Then, he will invest that amount along with some additional money at 7.25% per anum, compounded monthly for 3 more years so as to have P12500 at the end of six years. How much additional money must he invest?
-Effective Rate
*Find the effective rate equivalent to 10% compounded semi-annually.
-Nominal Rate
*What nominal amount rate compounded semi-annually is equivalent to 5% effective?
-Continuous Compounding
*Accumulate P6,000 for 3 ½ years at 12.6% compounded continuously.
-Amount Ordinary Annuity
*Jacob borrowed P25,000 for enrollment of his son in college in a cooperative. He agreed to pay the principal and the interest by paying monthly for 6 months at 12% interest compounded monthly. How much is the monthly installment?
-Present Value of Ordinary Annuity
*If money is worth 5% compounded quarterly, find the present value of P5,500 for 10years and 9 months.
-Deferred Ordinary Annuity
*Find the present value of a deferred annuity of P1,050 a year for 8 years that is deferred 2 years, If money is worth 7% effective.
-Problem on Amortization
*Arlette owes P10,000 with interest at 12% compounded semi-annually for three years....

...GRADE 9/9
Lind Chapter 9; Exercise 12
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?
The value of population mean is unknown. The best estimate of this value is the sample mean of 60 pounds.
b. Explain why we need to use the t distribution. What assumption do you need to make?
According to Lind, et al. (2005), when population standard deviation is unknown, and the sample is smaller than 30, a t distribution should be used. We need to assume that the sample is from a normal population (pp. 291-293).
c. For a 90 percent confidence interval, what is the value of t?
For a 90 percent confidence interval, and df = 15, t= 1.753
d. Develop the 90 percent confidence interval for the population mean.
Xbar = 60; s = 20; n = 16
Xbar ±t(s/√n) = 60 ± 1.753 (20/√16) = 60± 1.753 (5) = 60± 8.765 = [51.24, 68.77]
e. Would it be reasonable to conclude that the population mean is 63 pounds?
Yes because 63 pounds is among the confidence intervals.
Lind Chapter 9; Exercise 28
A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the weight of the boxes, a few were checked. The...

...Practice Problems
Ch. 7, Practice Problem: 14
Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as they wished. After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and 25.
Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?) (a) Use the steps of hypothesis testing. (b) Sketch the distributions involved, (c) Explain your answer to someone who has never taken a course in statistics.
Answer
Null hypothesis H0: = 24 hours Alternative hypothesis: H1: ≠ 24 hours
Df = 7 Critical t value = ±2.36 Sample Mean = 25
Standard deviation = 1.195 The test statistic used is
P-value = 0.049867231
Since calculated p-value 0.049867231 is slightly less than 0.05(significance level) therefore we reject the null hypothesis.
Because there is enough evidence to support the...

...Calculate and interpret the following for the data in Column K, “The degree of agreement among patrons that Remington’s has large portions,” on the Remington Data worksheet of the Remington’s Data Set workbook:
Mean -3.26
Standard deviation-0.911
Range -3
4
Mean
3.261306533
Standard Error
0.064596309
Median
4
Mode
4
Standard Deviation
0.911243075
Sample Variance
0.830363941
Kurtosis
-1.16899198
Skewness
-0.663704706
Range
3
Minimum
1
Maximum
4
Sum
649
Count
199
Largest(1)
4
Smallest(1)
1
Confidence Level(95.0%)
0.12738505
Include your calculations in a 1- to 2-page document in which you also do the following:
Explain the reasons Remington’s selected a survey research design to gather patron data.
Examine the research objectives in the project carefully and create a research question from each objective. Assignment Instructions here
Remington chose a survey research design to gather patron data as it is one of the least expensive and time intensive ways to collect data. It allows for anonymity and gives the participant the ability to answer the questions truthfully. Survey research is used to assess thoughts, feelings, and opinions. With the predetermined questions it allows for a representation of a larger sampling size.
Research Objectives on Research Process
Explain Remington’s choice to use a Survey Research Design rather than a Secondary Data Design and an Observation Design.
Explain the type of data Remington’s collected in the Performance Perceptions section...

...handwriting is illegible words might be mistaken for other words or misunderstood all together. (Ogle & Beers, 2009, chapter 9 para 1). When students are writing for others to see it is important that they are instructed to write legible, they need to be told that they are not just writing notes but something that is going to be viewed by more than just them. (Ogle & Beers, 2009, Chapter 9 para 2). Handwriting helps more than just the average student. Students that have disabilities, both physical and mental, will learn the same material as everyone else. These students might require a little bit of help such as a computer program in order to achieve this. ("5 Reasons Cursive Writing Should Be Taught In School", 2014, para 5).
I believe handwriting is important in all grades because students will use this skill for the rest of their lives. Handwriting becomes part of everyday life from the time you are taught it to the time you pass away. You will use handwriting to take notes, make grocery lists, do homework, take tests, and sign your autograph. Students will use handwriting in every subject in school. Everything from math to drawing to language arts will require the use of handwriting on a daily basis. (Spear-Swerling, 2010, para 4). In the primary grades handwriting is linked with basic reading skills as well as reading accomplishments. Once students learn their letters they can then learn the sound behind each...

...it should have been. Their economists failed to see this shortfall happening. Our text tells us that realism is “An image of international relations or world politics that can be traced back more than two thousand years.
Realists tend to hold a rather pessimistic view, emphasizing the struggle for power and influence among political units acting in a rational, unitary manner in pursuit of objectives grounded in their separate, often divergent interests” (Kauppi, 2013, p. 527). One thing to keep in mind is that The United States will maintain it’s power status and we will see a positive trend of growth during this scenario, but our trade-off will be that we will no longer play the role of as the “global police”. This may pose a problem and we will have no choice but to get involved and bring back order throughout the world. What we will need to focus on is our own economy for a while until positive growth is being seen across the board.
III. Security, Economic, and Identity Interests
“Leaders in all three countries also agree that U.S. power is the chief obstacle to achieving their revisionist goals. Their hostility toward Washington and its order is both offensive and defensive: not only do they hope that the decline of U.S. power will make it easier to reorder their regions, but they also worry that Washington might try to overthrow them should discord within their countries grow. Yet the revisionists want to avoid direct confrontations with...

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