1. A survey of violence in schools is designed to estimate the percentage of male students who were threatened with violence on school grounds over the past year. the tolerable error is set at 1 percent and the level of confidence is to be 99 percent. what is the proper sample size? Please Show Work

2. National data shows that 22% of all college students are married. you believe the student body at walsh is "somewhat representative" of the national value. What sample technique is best suited for testing this assumption?

3. Brakes Shop Inc. is a franchise that specializes in repairing brake systems of automobiles. the company purchases brake shoes from a national supplier. Currently, lots of 1,000 brake shoes are purchased, and each shoe is inspected before being installed in an automobile. the company has decided, instead of 100% inspection to adopt an acceptance sampling plan. the quality control department of the company has decided to select a sample of 10 shoes and inspect them for defects. furthermore, it has been decided that if the sample contains no defective parts, the entire lot will be accepted. If there are 50 defective shoes in a shipment what is the probability that the entire lot will be accepted? Please show work

4. The makers of a soft drink want to identify the average age of its consumers. A sample of 16 consumers is taken. The average age in the sample was 22.5 years with a standard deviation of 5 years. construct a 95% confidence interval for the true average age of the consumers. Show work