25 . A population has a mean of 25 and a standard deviation of five. The sample mean is 24, and the sample size is 108. What distribution should you use to perform a hypothesis test? 26 . It is thought that 42% of respondents in a taste test would prefer Brand A. In a particular test of 100 people, 39% preferred Brand A. What distribution should you use to perform a hypothesis test? 27 . You are performing a hypothesis test of a single population mean using a Student's t-distribution. What must you assume about the distribution of the data? 28 . You are performing a hypothesis test of a single population mean using a Student's t-distribution. The data are not from a simple random sample. Can you accurately perform the hypothesis test? 29 . You are performing a hypothesis test of a single population proportion. What must be true about the quantities of np and nq? 30 . You are performing a hypothesis test of a single population proportion. You find out that np is less than five. What must you do to be able to perform a valid hypothesis test? 31 . You are performing a hypothesis test of a single population proportion. The data come from which distribution?