University:
Amherst College
Course:
STAT 111 | Introduction to Statistics
Academic year:

2022
Views:

18

Pages:

1
Author:

Rafael Werner

Lab 3a for Math 17: Sampling 1 Sampling with Toy Soldiers Reference command in R/RCommander: sample(1:n,m) will generate m random numbers from 1 to n. You can change m and n to whatever you like. If you enter this command in the script window, you will need to highlight it and hit submit before it will give you the values. How tall is a toy soldier, on average? To answer this question, each group will receive a bag of either police figures (blue) or firefighter figures (red). We want to look at ways of sampling using the toy soldiers and compare the sample mean estimates we get from each sampling procedure. There are supposed to be 48 figures per bag, and you may treat your bag as the population of interest. You may take any sample size you like as long as it is not greater than 8 figures for each method (truly, these samples are too large for the population size, but the populations are very small). 1. How would you obtain a simple random sample of figures? Take an SRS and obtain a sample mean for the height of your figures. 2. How would you obtain a stratified random sample of figures? What would the strata be? Take a stratified RS and obtain a sample mean for the height of your figures. 3. How would you obtain a cluster sample of figures? What clusters would you use? Is it appropriate to treat the strata above as the clusters? If possible, take a cluster sample and obtain a sample mean for the height of your figures. 4. How would you obtain a systematic sample of figures? What listing of figures would you use? What value of k would you choose? Take a systematic sample and obtain a sample mean for the height of your figures. 5. Take a convenience sample and obtain a sample mean for the height of your figures. 6. What sampling method do you think does the best job in this context to get a random, representative sample from the population? 1

Lab 3a for Math 17 Sampling

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