Your job as the research director in the Alabama Department…

 Your job as the research director in the Alabama Department of Youth Services is to advise the Director which policies to follow. In the past, you have heard that some institutions have had as many as 80 disturbances in a year.  The average number of disturbances (riots, stabbings, fights, etc.) per year per institution, though, is 33, with a standard deviation of 5.  The distribution is normal.  Answer the following questions.   a) What is the z-score for an institution that had 40 disturbances in one year?  What does this z-score indicate?   b) You want to give raises to the wardens in the prisons that have disturbances in the bottom 13% of the distribution, and fire the wardens in prisons in the top 13%.  What number of disturbances will be the cut-off for each of these decisions?   c) What is the probability that an institution would have 40 or more disturbances?   d) What is the probability that an institution would have 36 or fewer disturbances?  

The following table contains data on the number of violent c…

The following table contains data on the number of violent crimes that occurred in four cities during 2012. The table displays each city’s population (give your answer to 2 decimal places) Violent crime rates                                        Violent Crimes         Population      Rate per 100,000 population Portland, ME                     173                             66,143 Ann Arbor, MI                   227                           115,008 Tampa, FL                         2,162                         350,758 San Francisco, CA           5,777                         820,363     a) Compute the rate of violent crime per 100,000 city residents in each city b) Which of the cities had the highest rate of violent crime in 2012 c) Why would it be inappropriate to directly compare the raw number of violent crimes for each city?

The speeds of 57 cars were measured (in km/h) on a city stre…

The speeds of 57 cars were measured (in km/h) on a city street. A numerical summary of the results is given below:   Descriptive Statistics: speed   Variable      N      N*       Mean        SE Mean        StDev speed           57      0          45.53         1.64                 12.38   Variable         Minimum       Q1           Median       Q3              Maximum speed               25.60               35.00       43.20            55.00        83.20   Do a calculation to decide whether the lowest recorded speed, 25.60 km/h, would be a potential outlier if drawing a boxplot by hand for this data set. What do you conclude?  

Exam 4 Point distribution: Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 1…

Exam 4 Point distribution: Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 12 10 12 10 15 12 6 17 16 Total points = 110 Questions 1-7 multiple choice questions Questions 8-9 free response question Periodic table and other relevant information for Exams To preview the information page Click Here