The board of directors at a very large manufacturing plant decides to determine a 99% confidence interval for the difference in the mean number of years on the job for management and plant workers. They randomly select 50 people from the management team and 50 people from the plant workers and then calculate the confidence interval for the difference in the mean number of years on the job. Which of the following statements is true about the confidence interval? A) The distribution of the number of years on the job for the sample of plant workers is
likely to contain large outliers so the assumptions for the two-sample t-interval are not
valid.
B) All of the assumptions are met and the confidence interval is valid.
C) The plant workers and management team are not independent so the assumptions for the
two-sample t-interval are not valid.
D) The distributions for number of years on the job for both management and plant workers
are likely skewed so the assumptions for the confidence interval are not valid.
E) The confidence interval is too wide to capture the true difference in the mean number of
years on the job for management and plant workers.