Statistics in Criminal Justice

  1. In a random sample of jails (N = 150), the mean number of male juveniles confined per
    facility was 1.17 (s = 6.21).
    A. Calculate the standard error of the mean (0.25 point).
    B. Construct a 95% confidence interval around the number of male juveniles
    confined in jails. Interpret it (0.5 point).
  2. The sheriff’s offices sampled in the Law Enforcement Management and Administrative
    Statistics (N = 827) reported that their agencies require new recruits to complete a mean
    of 599 hours of academy training (s = 226).
    A. Calculate the standard error of the mean (0.25 point).
    B. Construct a 99% confidence interval around the number of hours of training
    required of new recruits by sheriff’s offices. Interpret it (0.5 point).
  3. In the LEMAS survey, 45% of the sampled sheriff’s offices (N = 823) reported that their
    agencies’ formal mission statements do not include a community-policing element.
    A. Calculate the standard error of the proportion (0.25 point).
    B. Construct a 99% confidence interval around the proportion of sheriff’s offices that
    have a community-policing element in their formal mission statement. Interpret it
    (0.5 point).
  4. A policing researcher is interested in citizen encounters with the state police and
    conducts a survey of people who have had an encounter with a police officer in the past
    month. Within his sample of 472 respondents who reported having an encounter with a
    police officer in the past month, 151 reported that their encounter was negative.
    A. Calculate the standard error of the proportion (0.25 point).
    B. Construct a 95% confidence interval around the proportion of respondents who
    had a negative encounter with a police officer in the past month. Interpret it (0.5
    point)