Here's your penultimate reading assignment. Read Section 6.1 in your textbook and answer the following questions by 8 a.m., Friday, April 13th. Be sure to login (using the link near the bottom of the sidebar) to the blog before leaving your answers in the comment section below.
- Suppose that a random sample of 10 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. Let μ denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence interval is (7.5, 9.4). If the sample size had been 50 instead of 10 but the sample mean and sample standard deviation were the same, would the 95% confidence interval constructed from this larger sample have been narrower or wider than the given interval from the smaller sample? Explain your reasoning.
- Suppose a random sample of 10 Vanderbilt undergraduates is found to have an average height of 67 inches and a sample standard deviation of 3 inches. Construct a 95% confidence interval for the average height of the population of all Vanderbilt undergraduates. What assumptions are required to construct this confidence interval?
- What's one question you have about the reading?