This website uses cookies to ensure you have the best experience. Learn more

Outline Of Chapter 7 Text Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)

815 words - 3 pages

Chapter 7 Outline

Objectives
Find the confidence interval for the mean when s is known or n > 30.
Determine the minimum sample size for finding a confidence interval for the mean.
Find the confidence interval for the mean when s is unknown and n < 30.
Objectives (cont'd.)
Find the confidence interval for a proportion.
Determine the minimum sample size for finding a confidence interval for a proportion.
Find a confidence interval for a variance and a standard deviation.
Introduction
Estimation is the process of estimating the value of a parameter from information obtained from a sample.
Three Properties of a Good Estimator
The estimator should be an unbiased estimator. That is, the expected value or the mean of the estimates obtained from samples of a given size is equal to the parameter being estimated.
The estimator should be consistent. For a consistent estimator, as sample size increases, the value of the estimator approaches the value of the parameter estimated.
The estimator should be a relatively efficient estimator; that is, of all the statistics that can be used to estimate a parameter, the relatively efficient estimator has the smallest variance.
Point and Interval Estimates
A point estimate is a specific numerical value of a parameter. The best point estimate of the population mean m is the sample mean .

Confidence Level and Confidence Interval

The confidence level of an interval estimate of a parameter is the probability that the interval estimate will contain the parameter.

A confidence interval is a specific interval estimate of a parameter determined by using data obtained from a sample and by using the specific confidence level of the estimate.

Formula
Formula for the Confidence Interval of the Mean for a Specific a

For a 95% confidence interval, ;
and for a 99% confidence interval,
Maximum Error of Estimate
The maximum error of estimate is the maximum likely difference between the point estimate of a parameter and the actual value of the parameter. It is represented by the
term.
Formula
Formula for the Minimum Sample Size Needed for an Interval Estimate of the Population Mean

where E is the maximum error of estimate. If there is any fraction or decimal portion in the answer, use the next whole number for sample size, n.
t Distribution
Finding Confidence Intervals for the Mean (s unknown and n < 30)
When the population sample size is less than 30, and the standard deviation is unknown, the t distribution must be used.
Characteristics of the t Distribution
The t distribution is similar to the standard normal distribution in...

Find Another Essay On Outline of Chapter 7 text - Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)

Outline of Chapter 9 text - Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)

1118 words - 4 pages cannot be negative, because variances are always positive or zero.The distribution is positively skewed.The mean value of F is approximately equal to 1.The F distribution is a family of curves based on the degrees of freedom of the variance of the numerator and the degrees of freedom of the variance of the denominator.FormulaThe F test:where is the larger of the two variances.The F test has two terms for the degrees of freedoms: that of the

Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003): OUTLINE of Chapter 1

634 words - 3 pages OUTLINE of Chapter 1Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)Demonstrate knowledge of statistical terms.Differentiate between the two branches of statistics.Identify types of data.Identify the measurement level for each variable.Identify the four basic sampling techniques.Explain the difference between an observational and an experimental study.Explain how statistics can be used and misused.Explain the importance of

OUTLINE of Chapter 3: Elementary Statistics: A Brief Version, (A. Bluman 3rd Ed., 2003)

1525 words - 6 pages Summarize data using measures of central tendency, such as the mean, median, mode, and midrange.Describe data using the measures of variation, such as the range, variance, and standard deviation.Identify the position of a data value in a data set using various measures of position, such as percentiles, deciles, and quartiles.Use the techniques of exploratory data analysis, including boxplots and five-number summaries to discover various aspects

Chapter 7 Outline

1241 words - 5 pages Chapter 7: Networks of Communication and Exchange (300BCE-600CE)The Silk RoadOrigins and OperationsSeleucid kings who succeeded eastern parts of Alexander the Great's empire focused on the Mesopotamia and Syria.The Parthians were established due to the independence from the kings. The Parthians became a major force, few written sources were left, and wars between Greece and Rome occurred.128 BCE, Zhang Jian made his first exploration across

Brian Rose Period 7 DC Psychology January 16, 2003 Chapter

956 words - 4 pages Brian Rose Period 7 DC Psychology January 16, 2003 Chapter 2 Take-home Essay test 1. Neurosis is maladaptive, repetitive, formed as a result of damned-up impulses in a restrictive environment. Anxiety causes this by causing too much stress on the ego from the super-ego or id. The ego has to spend too much time dealing with defense mechanisms and thus ties up large amounts of libido. Libido is the life-giving force according to Freud. The

My Study Notes from Chapter 1(History, Theory, & Research Strategies) from Development Through the Lifespan, 3rd ed. By: Laura E. Berk. ISBN: 0-205-39157-5

4716 words - 19 pages components are helping us understand & alleviate many pressing problems faced by children & adults in today's world.                   *~Learning Objectives~* (Page Number are in parenthesis) Explain the importance of the terms interdisciplinary & applied as they define the field of development (5) Explain the role of theories in understanding human development & describe 3 basic issues on which major theories take a stand (5-7). Describe

Applied Statistics in Business and Economics, by Doane and Seward: Text Questions. 2)<Tab/>Chapter Exercises 12.48 and 12.50 b. Chapter Exercises 13.30 and 13.32 c.Chapter Exercise 14.16

1502 words - 6 pages Prepare answers to the following assignments from the e-text, Applied Statistics in Business and Economics, by Doane and Seward:Chapter 12Chapter Review #1Chapter Exercises 12.48 and 12.50Chapter 13Chapter Exercises 13.30 and 13.32Chapter 14Chapter Exercise 14.16Chapter 12Chapter Review #1List two limitations of bivariate regression.Often simplistic (multiple relationships usually exist.Biased estimates, even if relevant predictors are

Rewritten version of a chapter in Of Mice And Men

528 words - 3 pages simple life of the negro. Toneless, emotionless and worthless.Returning the terrible protective dignity of the Negro, I drew everything in, having to retire myself into a blank soul was excruciating but I felt the need to protect my remaining dignity. I constantly lost the battle of having authority and respect because I was inferior to white people. I looked at her hopelessly knowing that any second she would explode in rage. "You know what I

A Brief Analysis Of Sir Philip Sidney's Sonnet 7

609 words - 3 pages Sir Philip Sidney’s Sonnet 7 is from the sonnet sequence Astophel and Stella dating from the sixteenth century. It is a lament by one of the central figures, Astophel, a man who is in love with the other central figure, Stella, who is ultimately unattainable because she is married to another man.In the first few lines of the poem, Astrophil talks about Stella’s black eyes and how they “beam so bright” (ll. 2) and how in “

Lord of The Flies Chapter 4-7 Q&A

2094 words - 8 pages Lord of The Flies Ch. 4-71. What holds does civilization have on Roger?Civilization still has a little bit of control over Roger's mind and sanity. He seems to feel as if he is still surrounded by rules, laws, consequences and adults. Adults are the ones that make the rules and ensure they are enforced. In chapter four "Roger grabbed a handful of stones and began to throw them. Yet there was a space around Henry, perhaps six yards in diameter

A Brief Sumary Chapter by Chapter of The Lotery by Shirley Jackson

699 words - 3 pages of the lottery is for human sacrifice. 6. The Lottery has elements of horror, irony, peacefulness, and convention. Some of the elements that continue in the village and have only changed a little. 7. The villagers eventually learn that as they grow, the ritual of picking a person to stone each year is a part of their lives. 8. A current tradition that is like the tradition in “The Lottery” is people and bills have to go thought the senate

Similar Essays

Outline Of Chapter 5 Text Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)

567 words - 2 pages Chapter 5 OutlineObjectivesConstruct a probability distribution for a random variable.Find the mean, variance, and expected value for a discrete random variable.Find the exact probability for X successes in n trials of a binomial experiment.Objectives (cont'd.)Find the mean, variance, and standard deviation for the variable of a binomial distribution.Find probabilities for outcomes of variables using the Poisson, hypergeometric, and multinomial

Outline Of Chapter 4 Text Elementary Statistics: A Brief Version (A. Bluman 3rd Ed., 2003)

1209 words - 5 pages Chapter 4 OutlineDetermine sample spaces and find the probability of an event using classical probability or empirical probability.Find the probability of compound events using the addition rules.Find the probability of compound events using the multiplication rules.Find the conditional probability of an event.Determine the number of outcomes of a sequence of events using a tree diagram.Find the total number of outcomes in a sequence of events

Outline Of Chapter 6 Text Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)

1383 words - 6 pages Chapter 6 OutlineIdentify distributions as symmetrical or skewed.Identify the properties of the normal distribution.Find the area under the standard normal distribution, given various z values.Find the probabilities for a normally distributed variable by transforming it into a standard normal variable.Find specific data values for given percentages using the standard normal distribution.Use the central limit theorem to solve problems involving

Outline Of Chapter 8 Text Elementary Statistics: A Brief Version(A. Bluman 3rd Ed., 2003)

1375 words - 6 pages intervals.Explain the relationship between type I and type II errors and the power of a test.IntroductionStatistical hypothesis testing is a decision-making process for evaluating claims about a population.In hypothesis testing, the researcher must define the population under study, state the particular hypotheses that will be investigated, give the significance level, select a sample from the population, collect the data, perform the calculations required for