Free Essay

# Statistics Final

In: Other Topics

Submitted By papabear93
Words 1459
Pages 6
STAT 200 Introduction to Statistics Name___Brandy L. Currie___
Final Examination: Spring 2015 OL4 / US2 Instructor ___Kumud Altmaye__
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document.
Answer all 25 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from programs or software packages will not be accepted. If you need to use software (for example, Excel) and /or online or hand-held calculators to aid in your calculation, please cite the source and explain how you get the results.
When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement.

Please sign (or type) your name below the following honor statement:
I promise that I did not discuss any aspect of this exam with anyone other than my instructor. I further promise that I neither gave nor received any unauthorized assistance on this exam, and that the work presented herein is entirely my own. Name _Brandy L. Currie_ Date__10 May 2015__

Please sign (or type) your name below the following honor statement:
I promise that I did not discuss any aspect of this exam with anyone other than my instructor. I further promise that I neither gave nor received any unauthorized assistance on this exam, and that the work presented herein is entirely my own. Name _Brandy L. Currie_ Date__10 May 2015__

Record your answers and work. Problem Number | Solution | 1(25 pts) | Answers:(a) True because variance is the average of the squared difference from the mean; a variance of zero means that all values are the same as the mean which indicates they are identical.(b) False because there is no common region and therefore P(A and Ac) = 0, not 1.(c) True because normal distribution is symmetric around the mean; therefore the mean and median are always equal.(d) True because it takes a larger Z value to multiply with standard error to get the confidence interval at 99%.(e) False because a smaller significance level has a larger critical value.Work for (a), (b), (c), (d) and (e): | 2(5 pts) | Answer: Checkout Time (in minutes) | Frequency | Relative Frequency | 1.0 - 1.9 | 4 | 0.16 | 2.0 - 2.9 | 10 | 0.4 | 3.0 - 3.9 | 6 | 0.24 | 4.0 - 5.9 | 5 | 0.20 | Total | 25 | 1 |

### Similar Documents

#### Statistics

...Exam 4 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) A point estimate is the value of a ______________ that estimates the value of a _______________. 1) _____ A) random variable; statistic B) parameter; statistic C) random variable; parameter D) statistic; parameter 2) Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of eight private colleges in the United States revealed the following endowments (in millions of dollars): 71.3, 41, 233.7, 495.5, 122.5, 177.9, 93.7, and 216.6. What value will be used as the point estimate for the mean endowment of all private colleges in the United States? 2) _____ A) 207.457 B) 1452.2 C) 8 D) 181.525 3) Determine the point estimate of the population mean for the confidence interval with a lower bound of 25 and an upper bound of 35. 3) _____ A) 35 B) 25 C) 30 D) 31 4) Compute the critical value z* that corresponds to a 94% level of confidence. 4) _____ A) 1.96 B) 1.645 C) 2.33 D) 1.88 5) In a sample of 10 randomly selected employees, it was found that their mean height was 63.4 inches. From previous studies, it is assumed that the standard deviation, σ, is 2.4. Compute......

Words: 2008 - Pages: 9

#### Statistics Final

...Statistics Final Review 1.|Using the z-table (Table E), find the critical value (or values) for a = .08 two-tailed test.| |A) 1.4051 B) 1.7507 C) 1.4051 D) 1.7507| 2.|A report states that 38% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 5% with 90% confidence?| |A) 64 B) 128 C) 255 D) 510| 3.|If the equation for the regression line is y = –8x + 5, then the intercept of this line is| |A) 10 B) 5 C) –3 D) –8| 4.|For the samples summarized below, test the hypothesis at =.05 that the two variances are equal.|Variance|Number of data values|Sample 1|25|7|Sample 2|9|17|| A)|Accept the hypothesis because the test value 7.72 is greater than the critical value 3.34.| B)|Reject the hypothesis because the test value 2.78 is less than the critical value 3.16.| C)|Reject the hypothesis because the test value 7.72 is greater than the critical value 3.16.| D)|Accept the hypothesis because the test value 2.78 is less than the critical value 3.34.| 5.|For the conjecture "The average age of students in this class is 23", the null hypothesis is:| A)|We accept the hypothesis that the average age of students in this class is 23| B)|The average age of students in this class is 23| C)|The average age of students in this class is not 23| D)|We reject the hypothesis that he average age of students in this class is 23| 6.|Compute...

Words: 691 - Pages: 3

#### Statistics Final Project

...Ian Wamboldt Math 533- Applied Managerial Statistics Course Project Part C February 10, 2013 1. Generate a scatterplot for CREDIT BALANCE vs. SIZE, including the graph of the "best fit" line. Interpret. ------------------------------------------------- MINITAB OUTPUT: ------------------------------------------------- Regression Analysis: Credit Balance(\$) versus Size ------------------------------------------------- ------------------------------------------------- The regression equation is ------------------------------------------------- Credit Balance(\$) = 2591 + 403 Size ------------------------------------------------- ------------------------------------------------- ------------------------------------------------- Predictor Coef SE Coef T P ------------------------------------------------- Constant 2591.4 195.1 13.29 0.000 ------------------------------------------------- Size 403.22 50.95 7.91 0.000 ------------------------------------------------- ------------------------------------------------- ------------------------------------------------- S = 620.162 R-Sq = 56.6% R-Sq(adj) = 55.7% ------------------------------------------------- ------------------------------------------------- ------------------------------------------------- Analysis of Variance ------------------------------------------------- ------------------------------------------------- Source DF ...

Words: 1876 - Pages: 8

#### Statistics

...and μ3 represent the average income for every level of education. 1.2. The alternative hypothesis H1 is μ1 ≠ μ2 or μ2 ≠ μ3 or μ1 ≠ μ3 (at least one μ is different from another μ). 1.3. In order to test the above pair of hypotheses, I will use ANOVA analysis that provides the F statistic significance test: H0: FF critical H0 is rejected The following table contains the results of the ANOVA analysis: Anova: Single Factor SUMMARY Groups Count Sum Average Variance PRIMARY 115,00 3944657,40 34301,37 464689314,43 SECONDARY 137,00 5892738,36 43012,69 565872506,75 HIGHER 74,00 3556259,40 48057,56 719686158,84 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 9398747285,40 2,00 4699373642,70 8,32 0,00 3,02 Within Groups 182470332358,11 323,00 564923629,59 Total 191869079643,51 325,00 The F statistic equals to 8,32 and is compared to F crit = 3.02. I conclude that F>F critical meaning that H0 is rejected and the expected values in the three education groups are significantly different at the 5% significance level. 1.4. In order to reach my final conclusions and following the result of the above F test that the population means of the three education subgroups, I have to examine which group differs among the three ones, which subgroups have significantly different means. This can be tested by calculating the confidence......

Words: 1157 - Pages: 5

#### Statistics

...Statistics is a powerful resource to determine important information. Statistics is used to determine whether the outcome of an experiment is the result of a relationship between specific factors or merely the result of chance. This concept is commonly used in the medical field to test drugs and vaccines and to determine causal factors of disease. Statistical also is used in the fields of psychology, environmental biology and other disciplines in which research is conducted through experimentation. Statistics are the mathematical calculations of numeric sets or populations that are manipulated to produce a probability of the occurrence of an event(Sullivan, 2003). A sample is used, and the results of the calculation are applied to an entire population. For example, it might be said that 80 percent of all adults in the United States drive a car. It would be difficult to ask each adult in the U.S. whether he or she drives a car, so a random number of people could be questioned, and the data could be statistically analyzed and generalized to apply to all adults in the U.S. This paper it shows three examples on how statistics relates to current life. Using the knowledge that I have obtained from this course, I will demonstrate techniques we have discussed in class to answer these questions. In 1798, Henry Cavendish measured the density of the earth using an instrument called a torsion balance. While the density is obviously not uniform, the value of the mean density is......

Words: 1772 - Pages: 8

#### Statistics

...integrates applied business research and descriptive statistics. Students will learn to apply business research and descriptive statistics in making better business decisions. Other topics include examination of the role of statistics in research, statistical terminology, the appropriate use of statistical techniques, and interpretation of statistical findings in business and research. Policies Faculty and students will be held responsible for understanding and adhering to all policies contained within the following two documents: • University policies: You must be logged into the student website to view this document. • Instructor policies: This document is posted in the Course Materials forum. University policies are subject to change. Be sure to read the policies at the beginning of each class. Policies may be slightly different depending on the modality in which you attend class. If you have recently changed modalities, read the policies governing your current class modality. Course Materials Lind, D. A., Marchal, W. G., & Wathen, S. A. (2011). Basic statistics for business and economics (7th ed.). New York, NY: McGraw-Hill/Irwin. McClave, J. T., Benson, P. G., & Sincich, T. (2011). Statistics for business and economics (11th ed.). Boston, MA: Pearson-Prentice Hall. All electronic materials are available on the student website. |Week One: Understanding the Meaning of Statistics ......

Words: 3466 - Pages: 14

#### Statistics

...Statistics Casey Brown Professor Gaut 6/1/14 Many people believe that statistics are all about numbers, but they are wrong. Statistics involve surveys, populations, studies of people and objects and many other forms of data. An example of these forms would be a sample and its sub-collections. There are five sub-collections of a sample including random, cluster, systematic, stratified and convenience. All of these help to distinguish data so it can be read and compared. The study of populations is also used in statistics and provides information about all objects; both animate and inanimate. But what separates a sample from a population and how do they relate? A sample is a group of units chosen to represent a population or a larger group. Samples are used to gather information from a larger selection of objects; or a population. Populations are a set of individuals, data or objects. They can be a finite or infinite aggregation of individuals that are subject to study. Populations can be any size and they do not a specific order. One measurable feature must be shared between all individuals in the population. For example: out of 100 people, every individual has a shoe size, a height, and a weight. These characteristics define a population. Samples have characteristics as well; such as: observing. This includes surveying people or observing objects to collect data. This allows a nonbiased view of the population. When reviewing data from samples and populations by......

Words: 1013 - Pages: 5

#### Statistics

...deviation for this data set is 0.55 ounces (rounded to two decimal places). The next step in involved the problem is to constructing a 95% Confidence Interval for the ounces inside of the bottles. As it turned out, the lower limit of the Confidence Interval is 14.66 ounces (rounded to two decimal places) and the upper limit of the Confidence Interval is 15.08 ounces (rounded to two decimal places). The final stage in my investigation consisted of conducting a hypothesis test to verify if the claim that a bottle contains less than 16 ounces of soda is supported. Since the claim is in regards to the proportion of soda inside of the bottle, the hypothesis test is for the parameter (How to Test, 2014). The claim is p ≠ 0.16 ounces. There is enough evidence to support this claim and to reject the claim made by my company, which suggests p = 0.16 ounces. Therefore, p ≠ 0.16 ounces is the alternative hypothesis, and the null hypothesis is p = 0.16 ounces. H0: p = 0.16 H1 p ≠ 0.16 The sample size is n = 30 and the sample proportion is 2/30. The value of the test statistic is the z-value corresponding to the sample proportion under the assumption that H0 is true (How to Test, 2014). I calculated 2/30-0.16. Next, I calculated √(0.16(1-0.16) )/30. Finally, I divided the first calculation by the second calculation and received ≈ -1.394. Since H1 contains the symbol ≠, my hypothesis test is two-tailed and must have two critical values. The critical values are –Zα/2 and......

Words: 880 - Pages: 4

#### Final Exam Psy 325: Statistics for the Behavioral and Social Sciences

...Final Exam PSY 325: Statistics for the Behavioral and Social Sciences Download 100% accurate A++ and most economical answer from here http://www.homeworkmarket.com/content/need-urgent-5173933-2 http://www.homeworkmarket.com/content/need-urgent-5173933-2 Essay 1 A group of researchers conducted an experiment to determine which vaccine is more effective for preventing getting the flu. They tested two different types of vaccines: a shot and a nasal spray. To test the effectiveness, 1000 participants were randomly selected with 500 people getting the shot and 500 the nasal spray. Of the 500 people were treated with the shot, 80 developed the flu and 420 did not. Of the people who were treated with the nasal spray, 120 people developed the flu and 380 did not. The level of significance was set at .05. The proportion of people who were treated with the shot who developed the flu = .16, and the proportion of the people who were treated with the nasal spray was .24. The calculated p value = .0008. For this essay, describe the statistical approaches (e.g., identify the hypotheses and research methods) used in this excerpt from a research study. Interpret the statistical results and examine the limitations of the statistical methods. Finally, evaluate the research study as a whole and apply what you have learned about hypothesis testing and inferential statistics by discussing how you might conduct a follow-up study. Your essay must address the following points: • Describe......

Words: 807 - Pages: 4

Free Essay

#### Statistics

Words: 865 - Pages: 4

#### Statistics

...825 100 915 1191 1151 630 1175 952 1100 1140 750 1140 1370 960 1035 1280 1. What is the 78th percentile of the data set? a. 1160.6 b. 1177.88 c. 1151 d. 1171 e. None of the above, specify__________ 2. What is the IQR of the data set? a. 160.25 b. 153 c. 1270 d. 313.25 e. None of the above, specify__________ 3. What is the percentile rank for the observation, 1126.58? a. 56.77 d. 67 b. 66 e. None of the above, specify__________ c. 66.66 Use the following data for the next 2 questions: The following data give the salaries (in thousands of dollars) of the pitchers of baseball team. 5375 4333 350 2125 215 235 3000 2833 4125 13350 750 10000 763 1533 8000 Page 1 of 5 STATISTICS FOR BUSINESS (BA080IU) Midterm Examination Review | SAMPLE TEST 06 Vietnam International University (VNU) – HCMC INTERNATIONAL UNIVERSITY (IU) 4. What are the mean and the variance of the data set? a. 3799.13; 3924.85 b. 3799.13; 15404474.98 c. 2905.17; 14377509.98 Semester 01, Academic Year 2014 - 2015 ------o0o-----d. 2905.17; 15404474.98 e. None of the above, specify__________ 5. Using the Chebyshev’s Theorem, what is the interval that contains the salaries of at least 74% of all the pitchers of baseball team? a.  4050.57; 11648.84 d.  4977.11; 12575.37 e. None of the above, specify__________ b.  7975.43; 15573.69 c.  3898.14; 11496.40 6. At a car park there are 121 vehicles, 75 of which are cars, 26......

Words: 2058 - Pages: 9

#### Statistics

... Introductory STATISTICS 9TH EDITION This page intentionally left blank Introductory STATISTICS 9TH EDITION Neil A. Weiss, Ph.D. School of Mathematical and Statistical Sciences Arizona State University Biographies by Carol A. Weiss Addison-Wesley Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo On the cover: Hummingbirds are known for their speed, agility, and beauty. They range in size from the smallest birds on earth to several quite large species—in length from 2 to 8.5 inches and in weight from 0.06 to 0.7 ounce. Hummingbirds ﬂap their wings from 12 to 90 times per second (depending on the species) and are the only birds able to ﬂy backwards. Normal ﬂight speed for hummingbirds is 25 to 30 mph, but they can dive at speeds of around 60 mph. Cover photograph: Hummingbird, Editor in Chief: Deirdre Lynch Acquisitions Editor: Marianne Stepanian Senior Content Editor: Joanne Dill Associate Content Editors: Leah Goldberg, Dana Jones Bettez Senior Managing Editor: Karen Wernholm Associate Managing Editor: Tamela Ambush Senior Production Project Manager: Sheila Spinney Senior Designer: Barbara T. Atkinson Digital Assets Manager: Marianne Groth Senior Media Producer: Christine Stavrou Software Development: Edward Chappell, Marty Wright C iDesign/Shutterstock Marketing Manager: Alex Gay Marketing......

Words: 377092 - Pages: 1509

#### Ecn221 Business Statistics Final Examination

Words: 1363 - Pages: 6