In: Math
Below we are investigating the racial differences in occupational prestige. You will be asked to determine the area under the standard normal curve and present proportions, percentages, and counts based on that information. HINT: You’re being asked to compute z-scores and investigate their corresponding areas here. Have APPENDIX B ready!
The table below contains information on the occupational prestige scores for black and white Americans:
Mean Standard deviation N
Black Americans 40.83 13.07 195
White Americans 45.03 13.93 1,100
Use sentences to respond to the following. Please Number each of your responses, show your work for all computations, and underline your final answers. Calculate and report your answers with two decimal points unless your answers come directly from APPENDIX B.
What proportion of white Americans have an occupational prestige score above (greater than) 60? How would you write this as a percentage? Approximately how many people is this in the sample? (7.5 Points)
What proportion of black Americans have an occupational prestige score below (less than) 60? How would you write this as a percentage? Approximately how many people is this in the sample? (7.5 Points)
What proportion of white Americans occupational have an occupational prestige score between 30 and 70? How would you write this as a percentage? Approximately how many people is this in the sample? (7.5 Points)
What proportion of black Americans occupational have an occupational prestige score between 30 and 70? How would you write this as a percentage? Approximately how many people is this in the sample? (7.5 Points)