Statistics and Probability Practice Problems

1)Fill in the blanks or circle the correct answer for the following: a)If P(A∩B)=P(A)P(B) then A and B are called independent. b)Write the type of the variables i) Student’s N# qualitative ii) Student’s age quantitative-discrete c)If we reject Ho at 5% significance level, then we MUST also reject it at 1% level False. d)A type II Error cannot be committed when i) Hois true. e)Probability of Type I Error is called significance level. f)If the confidence level decreases, then the confidence

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Understanding Point Estimates, Confidence Intervals, and Hypothesis Testing

Test 4

Point estimate – single number computed from a sample, which serves as a guess for the parameter.

Estimator – statistic of interest and is therefore a random variable.

Estimate – simply a specific value of an estimator.

Confidence interval – Interval of values constructed so that, with a specified degree of confidence, the value of the population parameter lies within it.

Confidence coefficient – Probability that the CI includes the population parameter in repeated samples.

Confidence level – The

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MI CIUDAD

I live in Rota, which is a small town on the south coast of Spain, with a population of over 25.000 inhabitants.

Rota is a beautiful city, and it is great for walking aorund. There are a lot of narrow streets, and it is full of bars, markets and there are three churches. There is a beach and in summer people go to Rota for their holidays. There is an area called Costilla where there are a lot of outdoor bars and restaurants and there is a lot of nightlife on Saturdays.

The weather here is very good.

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Math Concept Check Chapter 4

What is the connection between cartesian geometry and vector geometry? Given a point P in 3-space we associate three numbers x, y, and z with P.  These numbers are called the coordinates of P, and we denote the point (x,y,z) or P(x,y,z) to emphasize the label P.  The result is called a Cartesian Coordinate System for 3-space, and the resulting description in 3-space is called Cartesian geometry.  Vectors are introduced by identifying each point P(x,y,z) with the vector v->=         

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Quantitative

Quantitative techniques may be defined as those techniques which provide the decision makes a systematic and powerful means of analysis, based on quantitative data,Quantitative techniques may be defined as those techniques which provide the decision makes a systematic and powerful means of analysis, based on quantitative data There are different types of quantitative techniques. We can classify them into three categories. They are: Mathematical Quantitative Techniques Statistical Quantitative Techniques

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Cluster: A collection of data objects

 similar (or related) to one another within the same group

 dissimilar (or unrelated) to the objects in other groups

 Cluster analysis (or clustering, data segmentation, …)

 Finding similarities between data according to the

characteristics found in the data and grouping similar

data objects into clusters

 Unsupervised learning: no predefined classes (i.e., learning

by observations vs. learning by examples: supervised)

 Typical applications

 As

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