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2016 11 14 Midterm
2016 11 14 Midterm

exam2 solutions
exam2 solutions

... 1. Power: The probability of finding an effect (by rejecting H0) when there is one 2. Sampling distribution: The probability distribution for values a statistic can take on across different samples 3. Law of large numbers: The fact that the sample mean becomes more reliable, and its standard error g ...
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MA4413-08

Measuring errors Hypothesis test Hypothesis test (2) Significance
Measuring errors Hypothesis test Hypothesis test (2) Significance

... with the current interface for a system the average time to complete a task is t = 5sec a new interface is proposed that should improve on this to test the new interface, it was agreed that n = 200 users would try out the new system let’s say that Y is the average time in which the 200 users complet ...
Hypothesis Test
Hypothesis Test

...  The tap water in the local community contains a bit of each of these ...
Powerpoint
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... standardizing them – Translate scores into z-scores – (Value – mean) / standard deviation ...
Chapter 5 - hypothesis
Chapter 5 - hypothesis

... produce 4% defective chips. Whenever the machine produces more than 4% defective chips it needs an adjustment.To check if the machine is working properly, the quality control department at the company often takes sample of chips and inspects them to determine if they are good or defective. One such ...
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Test of Significance

... if we are seeking to make a decision, this could be argued either way. If exercisers are no different, we would get results this small or smaller about 2.28% of the time by chance.  This result is significant at the 5% level, but is not signficant at the 1% level.  We would likely reject H0.  The ...
Lectures for January 18 and 20 -- review
Lectures for January 18 and 20 -- review

... CI Example An insurance company is concerned about the number and magnitude of hail damage claims it received this year. A random sample 20 of the thousands of claims it received this year resulted an average claim amount of $6,500 and a standard deviation of $1,500. What is a 95% confidence interv ...
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Week 1: Descriptive Statistics

... After 12 weeks, the level of depression in all subjects was measured and it was found that the mean level of depression (on a 10-point scale with higher numbers indicating more depression) was 4 for the experimental group and 6 for the control group. The most basic question that can be asked here is ...
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... we have concluded that the data are too unlikely to have occurred by chance alone. Thus, there is a relationship between the independent and dependent variable.  Means we have rejected the null hypothesis Ho. ...
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AP StatisticsHypothesis Testing Review
AP StatisticsHypothesis Testing Review

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One-sample hypothesis tests

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1.017 Class 10: Common Distributions

... As rejection region grows Type I error increases and Type II error decreases (test is more likely to reject hypothesis). As rejection region shrinks Type I error decreases and Type II error increases (test is less likely to reject hypothesis) Usual practice is to select rejection region to insure th ...
Hypothesis Testing
Hypothesis Testing

Chapter 10: Confidence Intervals
Chapter 10: Confidence Intervals

... Significance Testing: ◦ A formal procedure for comparing observed data with a hypothesis whose truth value we want to ...
Statistical Significance Testing Brian K. Miller, Ph.D. Key Terms
Statistical Significance Testing Brian K. Miller, Ph.D. Key Terms

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8.1-8.2 Review Sheet

... 3. The proportion of college graduates who obtain a job after graduation at least 62%. ...
Statistical hypothesis testing – Inferential statistics I.
Statistical hypothesis testing – Inferential statistics I.

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Ch 9 Lesson 1 Introduction Tests of Significance.jnt

Hypothesis Testing
Hypothesis Testing

... We will begin with a null hypothesis, which states that there is no difference between the two groups being tested. A null hypothesis is often times the opposite of what is expected to happen. We use the null hypothesis so that we can allow the data to contradict it. In a randomized controlled exper ...
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The Null Hypothesis

Hypothesis Testing - Department of Statistics and Applied Probability
Hypothesis Testing - Department of Statistics and Applied Probability

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Statistical hypothesis testing

A statistical hypothesis is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables. A statistical hypothesis test is a method of statistical inference. Commonly, two statistical data sets are compared, or a data set obtained by sampling is compared against a synthetic data set from an idealized model. An hypothesis is proposed for the statistical relationship between the two data sets, and this is compared as an alternative to an idealized null hypothesis of no relationship between two data sets. The comparison is deemed statistically significant if the relationship between the data sets would be an unlikely realization of the null hypothesis according to a threshold probability—the significance level. Hypothesis tests are used in determining what outcomes of a study would lead to a rejection of the null hypothesis for a pre-specified level of significance. The process of distinguishing between the null hypothesis and the alternative hypothesis is aided by identifying two conceptual types of errors (type 1 & type 2), and by specifying parametric limits on e.g. how much type 1 error will be permitted.An alternative framework for statistical hypothesis testing is to specify a set of statistical models, one for each candidate hypothesis, and then use model selection techniques to choose the most appropriate model. The most common selection techniques are based on either Akaike information criterion or Bayes factor.Statistical hypothesis testing is sometimes called confirmatory data analysis. It can be contrasted with exploratory data analysis, which may not have pre-specified hypotheses.
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