Question

Hello, i am working on a guide for a exam. I need help with this. i am in intro to stats

Problem 1: In the Gettysburg Address, there were 268 words in the entire passage and that the mean length is 4.29. (a) Suppose that we let 10,000 people choose their sample of five words before computing the average length and that longer words are 4 times more likely to be chosen than smaller words. Below is a histogram of 10,000 averages. The mean of the 10,000 averages is 5.46. The dot represents the mean length of all 268 words in the Gettysburg Address. This means that on average, x differs from the target (4.29) by 1.17. The standard deviation of the averages is 0.98. Is 1.17 bias or sampling variability? Is 0.982 bias or sampling variability? HE

Answer 1

solution 1:17 is a bias because the mean length is 4.29 Por a histogram 0 but our target is 5.46 . the mean is not closed to the target 5.46-4.29 1.17 is a bias. It mean - target is said to unbiased. 0.982 is a samolina variability because variability explain the spread of the data from mean mainly the spread of the graph is M +36 when u is mean fo is stndard deviation.. By increasing sample size to 20 words. the mean (average) is s 44 & standard deviation is 0.47 Yes, larger sample reduce the bias because in by increase sample size mean of the data increase it is closed to target 5.46-5.44 = 0.02 it is small bias as compare to first- Yes, it reduce the variability The standard deviation is 0.47 is less & compare to stand and deviation of the first (0.47 Log8). we know the lesser the variablity the spread of data (graph) is less.