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14-Probabilistic reasoning_deronppt
14-Probabilistic reasoning_deronppt

Interpreting the standard deviation
Interpreting the standard deviation

5: Probability Concepts
5: Probability Concepts

cross-tabulation
cross-tabulation

Interpreting the standard deviation
Interpreting the standard deviation

Presentation
Presentation

Stats: Test 1 Review
Stats: Test 1 Review

... 18) A random sample of 30 high school students is selected.  Each student is asked how many hours he or she spent on the Internet during the previous week.  The results are shown in the histogram. Estimate the sample mean. ...
Discrete Probability Distributions
Discrete Probability Distributions

... p(x=0|µ)=1-µ Probability distribution has the form Bern(x|µ)=µ x (1-µ) 1-x Mean is shown to be E[x]=µ Variance is Var[x]=µ (1-µ) Likelihood of n observations independently drawn from p(x|µ) is N ...
Lab 3 – Binomial Distribution
Lab 3 – Binomial Distribution

Lecture 3
Lecture 3

... Ei  expected cases in ith category when the null is true. k  the number of categories. The null hypothesis is rejected at an  significance level if v  2 ( k  1). ...
Lab Activity: Confidence Intervals – Single Population Mean
Lab Activity: Confidence Intervals – Single Population Mean

4) Find binomial probabilities with a shortcut feature
4) Find binomial probabilities with a shortcut feature



Z 1- /2
Z 1- /2

experimental - accepted
experimental - accepted

... S states that 68.26% of all data lies between ±1s of the mean, 95.44% of all data lies The empirical rule between ±2s, and 99.74% lies between ±3s. If the data is very precise, then the standard deviation will be small, meaning that the “spread” of the data is narrow and our values are very close to ...
3.1 Events, Sample Spaces, and Probability
3.1 Events, Sample Spaces, and Probability

... Let pi represent the probability of sample point i. Then 1. All sample point probabilities must lie between 0 and 1 (i.e. 0 ≤ pi ≤ 1). 2. P The probabilities of all the sample points within a sample space must sum to 1 (i.e., pi = 1) Example 4 In example 1, we have only two sample points and thus, w ...
Slide 1
Slide 1

FORMULA SHEET NUMBER ONE (consists of 2 pages)
FORMULA SHEET NUMBER ONE (consists of 2 pages)

... This is the smaller of the two standard deviations provided by the TI 83/84. ...
Course Title - Faculty Web Pages
Course Title - Faculty Web Pages

Hypothesis Tests
Hypothesis Tests

... Learning Objectives By the end of this session, you will be able to ...
STOR 155 - Statistics
STOR 155 - Statistics

Power - faculty.arts.ubc.ca
Power - faculty.arts.ubc.ca

... This will be demonstrated for tests of the mean of a normal  population when the population variance is known.    With this set‐up, the Appendix Table for the standard normal  distribution can be used to look‐up required probabilities.    The ideas can be applied to any other hypothesis testing appl ...
Action Level
Action Level

... If you repeatedly calculate sample means for many independent random sampling events from a population, in the long run, you would be correct 95% of the time in claiming that the true mean is less than or equal to the 95% UCL of all those sampling events. ...
LECTURE 18 (Week 6)
LECTURE 18 (Week 6)

Numeric Variable
Numeric Variable

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History of statistics

The History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, ""statistics"" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.
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