Questions 1,2,3,& 4 are based on the following setup. Question 2 provides the random input values for digits indicated as A, B, C, D, E, and F in what follows.

Two types of PET bottles are compared with respect to their bursting strengths under pressure. A Mann-Whitney test will be conducted to test whether the distributions of the bursting strength of the two types of bottles differ. Bursting strengths (measured in pounds per square inch) are obtained randomly selected 5 bottles from each design. The data are given below:

A=1

B=7

C=3

D=9

E=5

F=2

G=4

H=6

I=8

OLD DESIGN: bursting strength (pounds per square)= 2A0, 2B2, 211. 211, 190

NEW DESIGN: bursting strength (pounds per square)= 2C6, 2D7, 162, 137, 219

Q1) What is the rank of the first bottle from the old design?

Q2) What is the rank sum of the sample from the old design?

Q3) What is the p-value of the Mann Whitney test?

Q4) At which significance level, can we conclude that the distributions of the bursting strength of the two designs are different? Select all that applies.

1) 0.02

2) 0.05

3) 0.10

4) 0.20

5) none of above

PLEASE PROVIDE ENOUGH DETAILS, I WANT TO LEARN. PLEASE ANSWER AS FAST AS YOU CAN I ONLY HAVE 30 MINS.