1. From the following sample of 15 responses on a 8 points scale measuring whether sexual orientation should be protected by civil rights laws (1 strongly opposed and 8 strongly in favor): 1 2 2 3 3 3 4 4 4 5 5 5 6 7 8 8 a. Estimate the standard error of the mean. b. Find the 95% confidence interval for the population mean. c. Find the 99% confidence interval for the population mean. 2. A legal researcher wanted to measure the effect of length of a criminal trial on the length of jury deliberation. He observed in a sample of 12 randomly selected trials the following data ( the length in days and the length of jury deliberation in hours): Days Hours 2 6 7 12 3 7 4 7 1 4 1 5 4 7 3 4 2 14 10 10 7 6 3 6 a. Draw a scatter plot b. Calculate the correlation coefficient c. Calculate and draw the regression line on the scatter plot d. Predict the deliberation time for a 6 days trial 3. A polling organization interviewed by phone 450 people randomly selected about their opinion on drug testing of professional baseball players and found that 67% favored such a regulation: a. Find the standard error proportion. b. Find the 90% confidence interval. c. Find the 99% confidence interval. 4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 12. Based on this distribution, determine: a. The percent IQ between 105 and 125 b. Probability of selecting a person at random with IQ between 85 and 115 c. Percent of scores between 100 and 130 d. Percentile rank of IQ 145 e. Percentile rank of IQ 90