ผลต่างระหว่างรุ่นของ "Probstat/homework 3"
Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
||
| แถว 6: | แถว 6: | ||
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. | 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. | ||
| − | 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. | + | 2. We are interested in testing if a normally-distributed population has mean 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. |
| + | |||
| + | 3. We are interested in testing if a normally-distributed population has mean at least 100. However, we do not know the population variance. If we decide to take a sample of size 10 to compute the sample mean <math>\bar{X}</math> and the sample variance <math>S^2</math>, design a hypothesis testing procedure with the level of significance <math>\alpha=10%</math>. State the null hypothesis clearly and describe the criteria for accepting/rejecting the null hypothesis. | ||
== Part 3: Regression == | == Part 3: Regression == | ||
รุ่นแก้ไขเมื่อ 22:14, 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 mean 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.
3. We are interested in testing if a normally-distributed population has mean at least 100. However, we do not know the population variance. If we decide to take a sample of size 10 to compute the sample mean and the sample variance , 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.
