Question: For each of the following statements, state whether it is true or false. If it is false, rewrite it correctly.

• For a great many situations, an (approximate) confidence interval is given by estimate +- t standard errors. This size of the multiplier, t, depends on either the desired confidence level, or the degrees of freedom (df)
• It is important never to quote a P-value about the existence of an effect without also supplying a confidence interval for the likely size of the effect.
• A value of to = 2.15 implies that the estimated value is 2.15 sd above the hypothesized value.
• A two sided t-test will reject (at the 5% level) values for the null hypothesis that are outside the corresponding 95% confidence interval.
• It makes no sense to try to interpret a P-value without explicitly stating the relevant hypothesis.
• Differences or effects seen in data that are easily explainable in terms of sampling variation provided convincing evidence that real differences or effects exist.
• If Ho is rejected at the 5% level, it will be rejected at the 1% level.
  
  
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