Researchers determined that 60 Kleenex tissues is the average number of tissues used during a cold. Suppose in a random sample of 100 Kleenex users, the average number of tissues used during cold was 52 with a standard deviation of 22.Answer the following 2 sub-questions:

Suppose the test statistic does not fall in the rejection region at= 0.05. Which of the following conclusions is correct? Explain/Demonstrate.

a)At= 0.05, we do not rejectH₀.

b)At= 0.05, we rejectH₀.

c)At= 0.05, we acceptH₀.

d) Both a and c.

Suppose the alternative we wanted to test wasH₁:< 60. The (approximated) correct rejection region for= 0.05 is:

(explain how you arrive at that conclusion):

a)rejectH₀ift< 1.6604.

b)rejectH₀ift< 1.9842.

c)rejectH₀ift> 1.9842 orZ< 1.9842.

d)rejectH₀ift> 1.6604.