ผลต่างระหว่างรุ่นของ "Probstat/homework 3"

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: ''This is part of [[probstat]].''
 
: ''This is part of [[probstat]].''
  
== Poisson and exponential random variables ==
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== Part 1: Poisson and exponential random variables ==
  
== Hypothesis testing ==
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== Part 2: Hypothesis testing ==
1. We are interested in testing that a population has mean zero.  We know that the variance of the population is 17.  If we decide to take a sample of size 15, design a hypothesis testing procedure with the level of significance <math>\alpha=5%</math>.
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1. We are interested in testing if a normally-distributed population has mean zero.  We know that the variance of the population is 17.  If we decide to take a sample of size 15, design a hypothesis testing procedure with the level of significance <math>\alpha=5%</math>.  State the null hypothesis clearly and describe the criteria for accepting/rejecting the null hypothesis.
  
State the null hypothesis clearly and describe the criteria for accepting/rejecting the null hypothesis.
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2. We are interested in testing if a normally-distributed population has at least 100.  We know that the variance of the population is 30.  If we decide to take a sample of size 10, design a hypothesis testing procedure with the level of significance <math>\alpha=5%</math>.  State the null hypothesis clearly and describe the criteria for accepting/rejecting the null hypothesis.
  
== Regression ==
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== Part 3: Regression ==

รุ่นแก้ไขเมื่อ 15:09, 8 ธันวาคม 2557

This is part of probstat.

Part 1: Poisson and exponential random variables

Part 2: Hypothesis testing

1. We are interested in testing if a normally-distributed population has mean zero. We know that the variance of the population is 17. If we decide to take a sample of size 15, design a hypothesis testing procedure with the level of significance . State the null hypothesis clearly and describe the criteria for accepting/rejecting the null hypothesis.

2. We are interested in testing if a normally-distributed population has at least 100. We know that the variance of the population is 30. If we decide to take a sample of size 10, design a hypothesis testing procedure with the level of significance . State the null hypothesis clearly and describe the criteria for accepting/rejecting the null hypothesis.

Part 3: Regression