The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwise allows you to eat whatever you like. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) arePerson 1 2 3 4 Mean Weight before diet 180 125 240 150 173.75 Weight after six weeks 170 130 215 152 166.75 Difference 10 -5 25 -2 7 The goal is to test whether the water 'diet' leads to a mean weight loss.

i) What is the null hypothesis? Let subscript 1 indicate the measurement before the diet, and subscript 2 the measurement after six weeks.

(Pick letter corresponding to the best answer.)

a - H0: x?1-x?2 = 7

b - H0: ?1-?2 = 7

c - H0: x?1-x?2 = 0

d - H0: ?1-?2 = 0

ii) The alternative hypothesis for this test will be:

(Pick letter corresponding to the best answer.)

a - Ha: x?1-x?2 > 7

b - Ha: ?1-?2 > 7

c - Ha: x?1-x?2 > 0

d - Ha: ?1-?2 > 0

e - Ha: ?1-?2 < 0

iii) Give a value for the test statistic, to 2 places past the decimal.

iv) How many degrees of freedom are there?

v) What are bounds on the P value?

Choose answer from the following and report the letter.

a P < .001

b .01 < P < .05

c .05 < P < .1

d P > .1

vi) Construct a 99% confidence interval for the mean weight loss. Give answer to TWO places past the decimal place.

Lower Limit

Upper Limit