Statics Probability Question:

Consider the following data to answer the next 3 questions.

You have the following sample data; a sample size of 7, a mean of 8 and a standard deviation of 4.2. From this, what is the standard error?

1. 2.65
2. 5.8
3. 2.05
4. 1.58

Answer: 1.58

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Normal distribution theory tells us that for large samples, 95% of sample means lie within how many standard deviations above and below the population mean?	You still have the same data (a sample size of 7, a mean of 8 and a standard deviation of 4.2) plus the standard error. Next how would you calculate the 95% confidence intervals?