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Lab 1: Sampling Techniques In this lab we will generate samples from the data given in the table below. This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class. n... -:_._.. .. :.m=m~..t-,._-.._..- .. Use the Random Numbers Generator to pick the samples of these four types. 3* A simple Random Sample is where every sample of same size has equal chance of being chosen. 5* To choose a stratied sample, divide the population in to groups called starata and then take a proportionate number of members from each stratum. 5* To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample 3* To choose a systematic sample, randomly select a starting point p and take every k"' piece of data from a listing of the population. 1. Create a Simple Random Sample of 15 quiz scores. 0 Use the numbering 1 through 60. 0 On your calculator, press Math, Arrow over to PRB. Press 5:rand1nt(and enter 1, 60, 15) and record the numbers. 0 Record the quiz scores that correspond to these numbers. 0 These 15 quiz scores give the Simple Random Sample. 2. Create a stratied sample by columns. Pick three quiz scores randomly from each column. 0 Number each row one through ten. 0 On your calculator, press Math and arrow over to PRB. o For column 1. Press S:randInt (and enter 1. 10. 3). Press Enter. Record the three quiz scores in column one that correspond to these three numbers. 0 Repeat for columns two through six. 0 These 18 scores are a stratied sample. 3. Create a cluster sample by picking two of the columns. Use the column numbers: one through six. 0 On your calculator, press Math and arrow over to PRB. o Press S:randInt (and enter 1. 6. 2). Press Enter. Record the numbers. 0 The two numbers are for two of the columns. 0 The 20 quiz scores from these two columns are the cluster sample. 4. Create a systematic sample of 12 quiz scores. 0 Use the numbering 1 through 60. 0 Calculate [Note: N = 60, n = 12] 0 On your calculator, press Math, Arrow over to PRB. Press 5:rand1nt(and enter 1, k) and record the number. This number is p. o Recordthe quiz scores thatcorrespondtop,p + lap + 2k,p +3k andsoontill the time you have 12 quiz scores in the systematic sample