A company director investigated whether there is a difference in the mean number of overtime hours worked each week by employees assigned to two different managers. Each manager, A and B, manages 100 employees. Random samples of 35 employees from manager A and 40 employees from manager B were selected. The number of overtime hours worked was recorded for the 75 employees each week. Have the conditions been met for inference with a confidence interval for the difference in the population means? A. Yes, all conditions have been met.
B. No, because the data were not collected using a random method.
C. No, because the size of at least one of the samples is greater than 10 percent of the population.
D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is normal.
E. No, because the sample sizes are not the same.