STAT 1350: Elementary Statistics Lab Activity 9 Probability and Sampling Distrib
ID: 3218409 • Letter: S
Question
STAT 1350: Elementary Statistics Lab Activity 9 Probability and Sampling Distributions Name(s) Ashley UCAI Date 20-2 cigarettes in the past asked a simple sample of Have yourself smoked any question. that in 20% of all American adults would answer if asked this this, we The proportion p of the sample who answers "yes' wil vary in repeated sampling. To investigate simulated 1000 samples of size n 1600 from a population in 20% would es" they the cigarettes in the past week. The results of this simulation answer Please fill in percentage column and write are provided in the table below. your answers as decimals rounded to three places. Class for p T Frequency (of the 1000 samples) Percentage I 0.165 to 0.170 0.170 to 0.175 3 0.175 to 0.180 2.2.le 0.180 to 0.185 0.185 to 0.190 S 146 6 0.190 to 0.195 0.195 to 0.200 178 n. 0.200 to 0.205 lb. lo 160 q 0.205 to 0.210 0.210 to 0.215 0.215 to 0.220 0.220 to 0.225 0.225 to 0.230 0.230 to 0.235Explanation / Answer
#5. There is a difference between the results for part a) and b), because the no. of samples are not sufficiently large.
#6. If we simulated 50000 samples of size n=1600 from same population then we will get the exactly same results for part a) and b).
#6. "Central Limit Theorem" is the statistical principle which explains the answers to question #5 and #6.
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