[SOLVED] Stat240 – homework 11

Preliminaries
This file should be in STAT240/homework/hw11 on your local computer.
Download parental_leave.csv to STAT240/data .
Problem 1

c. Comment on why a T test for the mean might still be an appropriate method, even though the total paid leave data does not look normal.
Replace this text with your response!
Problem 2

Problem 3
Problem 4
Re-calculate the p-value from problem 3, but use a standard normal distribution instead of a (T_{n-1}) distribution. Why are the results very similar?

Problem 5

Problem 6
Does the educational industry give more paid leave than the healthcare industry? Perform a hypothesis test of [H_0: mu_{ESCU} mu_{HHC} = 0 quad ext{versus}quad H_A: mu_{ESCU} – mu_{HHC} > 0] with (alpha = 0.05). Do this by hand, then check your

Problem 7
Repeat the test in problem 6, but instead write hypotheses for (mu_{HHC} – mu_{ESCU}) (the order of subtraction is switched). Show that you get identical results to problem 5.

Problem 8
Now, consider the “Technology: Software” industry. Perform the appropriate hypothesis test to determine whether there is a difference in paid maternity and paternity leave within this industry. Note that each company decides its own policies on maternity and paternity leave, which should NOT be considered independent.