In: Statistics and Probability
1. Assume we know that the population standard deviation of income in the United States (σ) is $12,000. A labor economist wishes to test the hypothesis that average income for the United States exceeds $64,000. A random sample of 900 individuals is taken and the sample mean is found to be $65,000. Test the hypothesis at the 0.05 level of significance. What is the p-value of the test statistic?
2. A bank executive believes that average bank balances for individuals equals $15,000. The executive takes a random sample of 25 individuals and finds a sample mean of $12,800 and a sample standard deviation (s) of $4,000. Test the hypothesis at the 0.05 and 0.01 levels.