L10 & L11 Social Science Statistics
By the end of lesson 10, you should be able to:
- Calculate and interpret a confidence interval for a population mean given a confidence level.
- Explain how the margin of error changes with the sample size and the level of confidence.
- Identify a point estimate and margin of error for the confidence interval.
- Show the appropriate connections between the numerical and graphical summaries that support this confidence interval.
- Check the requirements of the confidence interval.
- Calculate a desired sample size given a level of confidence and margin of error.
REMEMBER:
>Margin of error is (z* times sigma)/ square root of n). Ideally it is small.
> To reduce the margin of error:
- reduce sigma.
- increase sample size (n)
- decrease confidence level (which will reduce z*)
*A confidence interval does NOT tell us:
- individual values
- sample means
- future samples (AVOID words like probability and chance)
L11
Regarding Confidence Intervals for a single mean with unknown:
- Calculate and interpret a confidence interval for a population mean given a confidence level.
- Identify a point estimate and margin of error for the confidence interval.
- Show the appropriate connections between the numerical and graphical summaries that support the confidence interval.
- Check the requirements the confidence interval.
Regarding Hypothesis Testing for a single mean with unknown:
- State the null and alternative hypothesis.
- Calculate the test-statistic, degrees of freedom and p-value of the hypothesis test.
- Assess the statistical significance by comparing the p-value to the α-level.
- Check the requirements for the hypothesis test.
- Show the appropriate connections between the numerical and graphical summaries that support the hypothesis test.
- Draw a correct conclusion for the hypothesis test.
REMEMBER:
- df = n-1
- The greater the degrees of freedom, the closer the t- distribution will look to a normal distribution.
- When we use s instead of sigma for one mean, we call the result the standard error.
- standard error= st. dev divided by square root of n.
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