Assume that two samples are independent simple random samples selected from normally distributed populations. Use a 0.05 significance level to test the claim that male and female biology students speak the same mean number of words in a day.

Males: 28408, 10084, 15931, 21688, 37786, 10575, 12880, 11071, 17799, 13182, 8918, 6495, 8153, 7015, 4429, 10054, 3998, 12639, 10974, 5255

Females: 6705, 21613, 11935, 15790, 17865, 13035, 24834, 7747, 3852, 11648, 25862, 17183, 11010, 11156, 11351, 25693, 13383, 19992, 14926, 14128, 10345, 13516, 12831, 9671, 17011, 28575, 23557, 13656, 8231, 10601, 8124

Alternative Hypothesis?
Test Statistic?
Critical Value?
P-Value?
Conclusion

Construct a 0.95% confidence interval estimate for the difference between the mean number of words spoken in a day by male and female psychology students. Do the confidence interval limits include 0, and what does that suggest about the two means?

Assuming the population standard deviations are equal, construct 0.95% confidence interval estimate for the difference between the mean number of words spoken in a day by male and female psychology students.