A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x = 810 and the sample standard deviation is s= 20. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (b) Construct an interval estimate of u with 98% confidence, assuming that s= 40. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (c) Construct an interval estimate of u with 98% confidence, assuming that s= 80. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. O The interval gets wider as s increases. O The interval gets narrower as s increases.

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.