Show why it is important to calculate a confidence interval when we do not have data from the entire population. Why can't we just use a sample mean?

2.Share the meaning of the term "93% confidence" in the following scenario without using the word "confident" or "confidence" (or synonyms like certain, sure...) in the part you must add.

Scenario: You are measuring the length of fish in a pond and want to know the mean length of the population of fish. You must begin your explanation with "Assume I have data from 100 samples of fish taken from the pond. The 93% confidence interval indicates that...."

3. For a fixed level of confidence, what happens to a confidence interval forwhen we increase the sample size?

4. Suppose that for a sample size of n=57, we find that the sample mean is 611. Assuming that the standard deviation = 14, calculate the confidence intervals for the population meanwith the following confidence levels.

a. 90%

b. 92%

c. 95%

d. 97%

e. 99%

5. Compare the shape of the t curve to the shape of the z curve. What are their similarities and differences?

6. LOCATE a flowchart online which helps you determine when to use t and when to use z in your calculations. The flow chart should include knowledge of population standard deviation and sample size. Cite your source.