The Internal Revenue Service believ (forget to sign the return, add encourage filers to thor and after careful aur 9. lowered the A study was commissioned to find the mean weight of the residents in certain town. The study examined a rand of 114 residents and found the mean weight to be 188 pounds with a standard deviation of 24 pounds. a. Determine a 95% confidence interval for the mean, rounding all values to the nearest hundredth. b. Interpret the interval in the context of the problem. Find the margin of error for the confidence interval. A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 41 graduating seniors and found the mean score to be 456 with a standard deviation of 108. a. Determine a 90% confidence interval for the mean, rounding all values to the nearest hundredth. b. Interpret the interval in the context of the problem. c. Find the margin of error for the confidence interval. 8. In 2003, the Texas Department of Public Safety reported that 4.59% of Texas residents were victims of a theft, burglary, or other property crime. In 2004, a survey of 1,000 Texas residents revealed that 45 have been victims of property crimes. Is this evidence that the rate of property crime has decreased? a. State the null and the alternative hypothesis. b. Conduct a 1 Proportion Z-Test and compute the P-value. Draw a conclusion