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Example Example 10.1. The survey of 100 customers, in which 40 are male and 60 are female, shows that: for the male, average consumption is $250, standard deviation is $11; for the female, average consumption is $256, standard deviation is 15. Assumed that consumption of both are normal distributed. (a) With significant level of 5%, test th...

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Example Example 9.2. In the past, average productivity of worker is 120. To improve productivity, new management procedure is applied. Recently survey of 25 workers shows sample mean is 126.2, sample variance is 225.  Assumed that productivity is Normality,  (a) Test the hypothesis that average productivity has increased, at significant le...

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8.1. Concept of Estimate  Estimation is determining the approximate value of a unknown parameter on given data.  Two types of estimate:  Point estimate: single value  Interval estimate: an interval that parameter falls into it with a determined probability level Ex. “The average height of VN’s male is 163 cm” “The average height of VN’s...

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7.2. Sampling Distribution  A sampling distribution is a distribution of all of the possible values of a statistic for a given sample selected from a population  Distribution of Sample Mean  Distribution of Sample Proportion  Distribution of Sample Variance

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Example Example 6.2. Return ($mil) of project A is normality with mean of 8 and variance of 9. Calculate the probability: (a) Return of A higher than 10 (b) Loss money (c) Return of A between 5 and 12  Return of project B is normality with mean of 10 and variance of 25. A and B are independent. Calculate the probability that: (c) Both gai...

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Example Example 5.6. The quiz includes 10 multiple choices questions, each has 4 options and only one correct. A candidate do all questions by random choose the answers. (a) Expectation and variance of number of correct answer? (b) Probability that there are 3 correct answers? (c) Probability that there are at least 6 correct ones? (d) Eac...

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Classical Probability Example 4.3: Flip a coin three times, what is the probability of (a) There are 2 Heads only? (b) There are Heads only? (c) There are 2 Heads, given the first is Head? (d) There are 2 Heads, given the first is Tail? Example 4.4 There is a box contains 6 white balls and 4 black balls. Random pick up 2 balls, calculate the...

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Data Measurements  Location:  Minimum, Maximum  Central Tendency: Mean, Median, Mode  Quantile: Quartile, Percentile  Variability:  Range  Variance (Var)  Standard Deviation (SD)  Coefficient of Variation (CV)  Interquartile Range (IQR)

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LECTURE 2 – TABLES & CHARTS  [1] Chapter 2, pp. 33 – 79  Frequency, relative frequency, cumulative table  Pie chart  Bar chart, Column chart  Histogram  Line chart, Radar chart  Scatter plot, bubble chart

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Statistics is the fact ?  Yes, but No !  Information for Statistics  Statistics maybe biased  Without testing for correction of statistics, decision would be wrong  Statistics problem:  Accuracy of data?  Appropriate method?  Studying capacity of classes?  Compare popularity of two topics / trade marks / artists?  Evaluate inv...

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