(Solved): According to Dee Anderson - the Sheriff in Tarrant County, Texas - food is the great pacifier. Foo ...

According to Dee Anderson - the Sheriff in Tarrant County, Texas - food is the great pacifier. Food is the No. 1 thing that will cause unrest if you are locked up... "A lot of riots that have occurred across the country have been over food," says one Texas jail official. This is especially true during the holidays when inmates miss having holiday meals with their families. You want to test if food is indeed a great pacifier. You know that the average number of infractions a day for all jails in TX is 21 per 1,000 inmates, with a standard deviation of 10. You take a random sample of 100 jails, and on Easter, you serve them a nice holiday meal (ham, turkey, green beans, mashed potatoes, etc.). You observe that the average number of infractions for your sample is 19.25. a. What is the average distance (standard error) you expect to observe between the population mean and sample mean for a sample size of 100 ? b. You observed that the mean number of infractions per 100 inmates for your sample of prisons was \( 19.25 \). What is the z-score corresponding to your sample mean? What does this z-score tell you? c. What is the probability of observing a sample mean less than \( 19.25 \) for a sample of size 100 ? d. Based on your answer above, do nice holiday meals appear to reduce infractions? Explain