Hi, I need someone to help me with these questions.

Please answer them with the help of R studio if apply.

Thank you.

1) Suppose we have an experiment in which we want to compare five means and we have .

a)How many comparisons of two means are possible?

b) What is the familywise error rate?

2) In which of the following situations would we expect a significant F-ratio?

a)When the unsystematic variation exceeds the systematic variation

b)When the systematic variation exceeds the unsystematic variation

c)When the systematic variation is comparable to the unsystematic variation

d)When the unsystematic variation is almost zero

3) Suppose you are employed by a manufacturing company to assess vehicle batteries. Your job is to determine if there is a significant difference in the lifespan of car batteries made by four different manufacturers (W, X, Y, and Z). You randomly sample 15 batteries from each manufacturer and perform a series of lab tests to determine their lifespan. You test each battery in its respective manufacturer's facility.

a)What type of experimental design is this?

b)What is/are the factor(s)?

c)What are the levels of any factors from part b?

d)What is the variable measured?

e)Give a possible confounding variable, and discuss how you might alter the design to correct for it.

f)What are the null and alternative hypotheses for this design?

4) Suppose that when the familywise error rate is 0.7621. How many means were being compared?