Identify a question you would like to answer using statistics which may be answered using a confidence interval in plain English.
- Identify a question you would like to answer using statistics which may be answered using a confidence interval in plain English.
Example: What is the average GPA of an incoming student at MC
- Identify the parameter related to your question and its symbol and its name.
Example: m,
- identify the statistic related to your question and its symbol
Example: x(bar), sample mean
- List your data(try to get at least 10 in your sample).
Example: 3.28, 2.41, 3.64, 1.28,3.56, 2.57, 3.10,2.94, 2.45, 3.16, 2.45
- Describe your population of inteeest.
Example: All students at MC
- Describe your sample.
Example: 11 Studens in my statistics class
- Comment on how you obtained your sample
Example: Conducted an email survey of the students in my statistics class
- Comment on the bias in your sample
Example; This sample is biased since it is only people in math 117, who need certain perquisites to take the course, this underrepresents students without the prerequisites.
- If there is bias in your sample comment on how you could have obtained an unbiased sample.
Example; We could have gotten a numbered list of students at MC and chsen every 10th name on the list.
IX.. Find several confidence intervals using bootstrapping, what assumptions did you make?
Example:
95% (2.421,3.146)
99%: (2.315,3.231)
The assumption was made that the underlying distribution was approximately normal.
- Create a question related to I, which may be answer with a hypothesis test
Example: The average GPA for a student at MC is about 2.0
- Set up the hypothesis related to you question using the appropriate notation.
Example:
H0: m = 2.0 (the mean GPA is about 2.0)
Ha m ≠2.0 ( the mean GPS is different than 2.0)
- Compute the value of the standardized test statistic to the nearest .01
Test statistic = =3.648
- State the distribution and degrees of freedom if necessary.
T-distribution with 10 degrees of freedom, .00383
- Find the p-value using a non-bootstrapping approach.
Examples:
.0083
- Find the p-value using bootstrapping to the nearest .01
0
- Make a conclusion about the question you identified at the .05 level of significance.
Reject the claim that the mean GPA is 2.0 since the pvalue = .008<.05 = significance level.
XVIII Identify the cases and variables.
Caes: students in survey, Variable: GPA
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