In: Statistics and Probability
Problem 3 Look back on the data from Problem 2 regarding the time required to perform a repetitive task (in seconds) on an assembly line for Farnsworth (the seasoned employee) and Higgenbottom (the newby). The times are shown in chronological order.
a. Find a 95% confidence interval for the standard deviation of times for Farnsworth. Do the same for Higgenbottom. What do these confidence intervals indicate?
b. Given that these times are listed chronologically, how useful are the confidence intervals in part a? Specifically, is there any evidence that the variation in times is changing through time for either of the two workers?
n=70
standard deviation for Farnsworth= 4.022
standard deviation for Higgenbottom = 6.073