Question: 1.Explain why it is important to calculate a confidence interval when we do not have data from the entire population. 2.Explain the meaning of the

1.Explain why it is important to calculate a confidence interval when we do not have data from the entire population.

2.Explain the meaning of the term "95% confidence" in the following 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 95% confidence interval communicates that...."(finish the idea)

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=90, we find that the sample mean is 42. Assuming that the standard deviation = 2.5, 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 t curve to the z curve. What are each used for?

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