Collect 50 or more quantitative data items. Use the same method of collecting 50 or more data items . Then, construct a 90% confidence interval for the population mean, .

• Briefly describe the data set
• Include the Statcrunch report, either as an attachment or (even better) paste is into the discussion post
• Write down the sample size
• From your data, what is the point estimate, x, of the population mean? What is the sample standard deviation?
• Write down the confidence interval that was obtained. Interpret the result.
• What is the margin of error?
• Using the same data, construct a 98% confidence interval for the population mean. Then, answer the following three questions:

(i) What happens to the length of the interval as the confidence level is increased?

(ii) How has the margin of error changed?

(iii) If the sample size is increased, what do you think will happen to the margin of error? Why?