Question 8.326

unionmember

25. Union Membership. The table contains the total union membership for seven randomly selected states. Construct and interpret a 95% confidence interval for . Assume the data are normally distributed.

State Union membership
(1000s)
Florida 397
Indiana 334
Maryland 342
Massachusetts 414
Minnesota 395
Texas 476
Wisconsin 386
Table 8.36: Source: U.S. Bureau of Labor Statistics, 2010.

8.99.25

Lower bound = 30.537, upper bound = 104.367. We are 95% confident that σ, the population standard deviation of total union membership per state, lies between 30.537 and 104.367 thousand.