Question: What's wrong? Here are several situations where there is an incorrect application of the ideas presented in this section. Write a short paragraph explaining what is wrong in each situation and why it is wrong.

1. A researcher tests the following null hypothesis: \(H_{0}: \bar{x}=23\)
2. A random sample of size 30 is taken from a population that is assumed to have a standard deviation of 5. The standard deviation of the sample mean is 5/30.
3. A study with \(\bar{x}=45\) reports statistical significance for \(H_{a}: \mu>50\)
4. A researcher tests the hypothesis \(H_{0}: \mu=350\) and concludes that the population mean is equal to 350 .

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