Statistics (I) 000359071 Homepage (Fall 2024)

課程公告

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Weekly postings:
Posted on/by Reading Homework problems Basic problems
9/12 Handouts "Introduction to Statistics", "Getting started with R", "Summarizing data", and "A survey of probability concepts". Some contents can be found in Chapters 1-5 of the textbook. Do some of Problems 1-11 up to 20 pts (extra points will not be counted; due 9/26) Problems 1-3, 6-7, 9-11
9/21 Handouts "Random variables, random samples, and population distributions" and "Mean, variance and standard deviation" (till the definition of Var(X)). Some contents can be found in Chapters 5 and 6 in the textbook. Do some of Problems 12-17 up to 15 pts (extra points will not be counted; due 10/4 ) Problems 12-16
9/27 Handouts "Mean, variance and standard deviation" and "Some discrete probability distributions" (till Page 1). Some contents can be found in Chapter 6 in the textbook. Do some of Problems 18-25 up to 21 pts (extra points will not be counted; due 10/14) Problems 18(a)(b), 19, 21, 23, 24(a)
10/17 Handouts "Some discrete probability distributions" , "The probability density function (PDF) of a continuous random variable", "The cumulative distribution function (CDF) of a random variable", and "Uniform distributions" (till Example 1). Some contents can be found in Chapters 6 and 7 in the textbook. Do some of Problems 26-35 up to 20 pts (extra points will not be counted; due 11/1) Problems 26-35
11/15 Handouts "Normal distributions", "Central limit theorem (中央極限定理)", "Exponential distributions (指數分布)" "Learning from a random sample (IID data)" and "Confidence intervals for mean/proportion estimation" (till Example 1) Some contents can be found in Chapters 7-9 in the textbook. Do some of Problems 36-43 up to 12 pts (extra points will not be counted; due 11/29) Problems 36-39, 43
11/23 Handout "Confidence intervals for mean/proportion estimation" Some contents can be found in Chapter 9 in the textbook. Do some of Problems 44-49 up to 15 pts (extra points will not be counted; due 12/6) Problems 44-47, 49
11/29 Handout "Hypothesis testing" (before Example 6, and the p-value for Z test with alternative hypothesis µ > µ0). Some contents can be found in Chapter 10 in the textbook. Do some of Problems 50-57 up to 15 pts (extra points will not be counted; Problem 50 is due 12/19 and other problems are due 12/12) Problems 50, 53-55
12/7 Handout "Hypothesis testing". Some contents can be found in Chapter 10 in the textbook. Do some of Problems 58-60 up to 12 pts (extra points will not be counted; due 12/19) Problems 58-59
12/13 Handout "Chi-squared distributions and testing for population variance" and Example 10 in Handout "Hypothesis testing" Some contents can be found in Chapter 10 in the textbook. Do some of Problems 61-66 up to 12 pts (extra points will not be counted; due 12/26) Problems 61, 62(a), 63-64