The normal distribution and hypothesis testing

The normal distribution and hypothesis testing

1. Empirical rule (important stations/percentages)

   • 68%
   • 95%
   • 99.7%

2. It helps you discover what percentage falls into a certain number of standard deviations.

3. Null Hypothesis (Ho): No change, no parameter

   • (=, ≤, ≥)

4. Alternate Hypothesis (Ha): There is a change in parameter

   • (<, >, ≠)

5. **Use**: P as proportion, M as mean and σ as standard deviation when doing the claim.

6. 8 STEPS

   • 1: Read claim
     • 2: State the Null hypothesis or alternate hypothesis
       • 3: Arrange data, decide which test to use
         • 4. Sketch situation
           • 5: Find critical Z or T (based on being one tail or two-tailed)
             • 6: Find calculated Z or T
               • 7: Conclusion in terms of Ho
                 • 8: Conclusion within context, Relate to claim

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