Lesson 1: Gathering Data NAME Lab Assignment Answer the following questions showing all work. If you use Minitab Express include the appropriate output (copy + paste) along with an explanation. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board. 1. There are 83,436 Penn State undergraduate students. An academic advisor wants to estimate the proportion of all Penn State undergraduate students who work fulltime. It would take him too much time to contact all 83,436 students, so he uses Minitab Express to take a simple random sample of 40 of those students. He calls those 40 students and asks each if they are working full-time. (30 points) A. Identify the sample and the population. B. Was his sample representative of the population? Why or why not? C. Is it an observational or experimental study? Why? D. Of the 40 students who were contacted, 15% (in other words .15) said that they were working full-time. Compute the conservative confidence interval for the proportion of all Penn State undergraduate students who are working fulltime. E. How would you explain your conservative confidence interval to a friend with no knowledge of statistics? 2. Suppose the office that does the Penn State Pulse surveys (these surveys are done to get a \"pulse\" on what is happening with regards to Penn State students) does a survey about the frequency of academic cheating (and they have!). In the context of such a survey about cheating, explain the difference between non-response bias and response bias. (15 points) 3. A team of educational researchers wants to examine the academic self-concepts of Penn State World Campus students. There are 12,242 World Campus students and it would take too long for the researchers to contact all of them. They want to contact a sample of 100 World Campus students. (25 points) A. Describe how they could use a simple random sampling method to obtain a sample of 100 World Campus students. B. Describe how they could use a stratified random sampling method to obtain a sample of 100 World Campus students. C. Describe how they could use a cluster sampling method to obtain a sample of 100 World Campus students. D. Describe how they could use a volunteer sampling method to obtain a sample of 100 World Campus students. E. Is this an experimental or observational study? Why? Lesson 1: Gathering Data NAME Lab Assignment 4. Open the file STATEPOPULATIONS.MTW. This contains a list of the 50 states and Washington, D.C. with their population sizes as of the 2010 US Census. (30 points) A. Use Minitab Express to take a random sample of 5 states. Include a screen shot of your results. B. Use Minitab Express to take a second random sample of 5 states. Include a screen shot of your results. C. Were your results the same both times? Why or why not? ##################>### ############################################# #################### ### R #o#o#t# #E#n#t#r#y############################################################## ###################'>##### ######W#o#r#k#s#h#e#e#t#D#a#t#a#1#6################################### ###################################################W#o#r#k#s#h#e#e#t #I#n#f#o#################################################################### ################### ##########C#o#m#p#r#e#s#s#e#d################################################# ##########################>###>#################################### ######### ####### ########################################################################### ###! ###"#######$### %###&###'###(###)###*### ################WORK########### ####8###V#:#\\#S#T#A#T# #2#0#0#\\#F#A#L#L# #2#0#1#5# #S#T#A#T# #2#0#0#\\#W#K# #3#\\#S#T#A#T#E#P#O#P#U#L#A#T#I#O#N#S#.#M#T#W#8###############S#T#A#T#E#P#O#P#U#L #A#T#I#O#N#S#.#M#T#W########################################################### ################### ### ######### @################A#r#i#a#l#################A#r#i#a#l#################*######ADDR #;#### ###CmColumnVar#ADDR#;#### ###CmColumnVar#ADDRlm#### ###CmColumnVar##############'################################################### ##################################################_############################# ############################# ############;###0Dmb*]#dcSr %}#M{_2# ]`x{>:VR5|fi6w###k%:i; n##`^tw#M/PK#q m#W ############################################################################### ################################################################################ ################################################################################ ################################################################################ ############