Statistics (I) 000359061 Homepage (Fall 2023)

課程公告

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Weekly postings:
Posted on/by Reading Homework problems Basic problems
9/15 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 1-12 up to 15 pts (extra points will not be counted; due 10/6) Problems 1-2,7,10-11
9/23 Handouts "Random variables, random samples, and population distributions" and "Mean, variance and standard deviation" (till Example 2). Some contents can be found in Chapter 5 in the textbook. Do some of Problems 13-16 up to 12 pts (extra points will not be counted; due 10/6) Problems 13-15
9/29 Handouts "Mean, variance and standard deviation" and "Some discrete probability distributions" (till Page 2). Some contents can be found in Chapter 6 in the textbook. Do some of Problems 17-27 up to 14 pts (extra points will not be counted; due 10/13) Problems 17-19, 21-23, 26-27
10/6 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 28-32 up to 15 pts (extra points will not be counted; due 10/19) Problems 28-30
10/13 Handouts "Uniform distributions" and "Normal distributions" (before Fact 2). Some contents can be found in Chapter 7 in the textbook. Do some of Problems 33-37 up to 15 pts (extra points will not be counted; due 10/26) Problems 33, 34(a)(b)(c), 35, 36
10/21, 10/26 Handouts "Normal distributions", "Central limit theorem (中央極限定理)", and "Exponential distributions (指數分布)". Some contents can be found in Chapters 7 and 8 in the textbook. Do some of Problems 38-42 up to 12 pts (extra points will not be counted; due 11/2) 請注意11/2到期作業於10/26更新,新增第42題 Problems 38, 39, 41, 42(a)(b)(c)
11/3, 11/17 Handouts "Learning from a random sample (IID data)" and "Confidence intervals for mean/proportion estimation" (till Example 9) Some contents can be found in Chapters 7 and 9 in the textbook. Do some of Problems 43-48 up to 15 pts (extra points will not be counted; due 11/30) Problems 43, 46, 47
11/24 Handouts "Confidence intervals for mean/proportion estimation" and "Hypothesis testing" (till Example 5). Some contents can be found in Chapters 9 and 10 in the textbook. Do some of Problems 49-52 up to 14 pts (extra points will not be counted; due 12/7) Problems 49, 51, 52
12/2 Handout "Hypothesis testing" (till Example 10). Some contents can be found in Chapter 10 in the textbook. Do some of Problems 53-59 up to 16 pts (extra points will not be counted; due 12/14) Problems 53, 56, 58
12/8 Handouts "Hypothesis testing" and "Chi-squared distributions and testing for population variance". Some contents can be found in Chapter 10 Do some of Problems 60-64 up to 12 pts (extra points will not be counted; due 12/21) Problems 61, 64
12/15 Do some of Problems 65-66 up to 5 pts (extra points will not be counted; due 12/28) Problem 65