Question: G You would like to construct a 90% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for

G You would like to construct a 90% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 480 and a standard deviation of 73. (a) What is the best point estimate, based on the sample, to use for the population mean? Could use Z t Unclear either Z or t (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 90% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.) Sampling scenario The sample has size 14, and it is from a normally distributed population with a known standard deviation of 75. O O The sample has size 80, and it is from a non-normally distributed population. The sample has size 10, and it is from a normally distributed population with an unknown standard deviation. G

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