ผลต่างระหว่างรุ่นของ "Probstat/homework 3"
Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
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| แถว 9: | แถว 9: | ||
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. | 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. | ||
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| + | 4. We want to test if students who have breakfast perform better in the exam than students who do not. From the data we collect over time, we believe that the variance of the test score is 120. We sample 30 students from the first group and 30 students from the second group, and collect their test scores. Describe a null hypothesis and show how to perform a hypothesis testing for this problem. Describe the criteria with 5% level of significance. | ||
== Part 3: Regression == | == Part 3: Regression == | ||
รุ่นแก้ไขเมื่อ 00:56, 9 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.
4. We want to test if students who have breakfast perform better in the exam than students who do not. From the data we collect over time, we believe that the variance of the test score is 120. We sample 30 students from the first group and 30 students from the second group, and collect their test scores. Describe a null hypothesis and show how to perform a hypothesis testing for this problem. Describe the criteria with 5% level of significance.
