The water diet requires one to drink two cups of water every half hour from the time one gets up until one goes to bed but otherwise allows one to eat whatever one likes. 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) are
Person 1 2 3 4 Mean SD
Weight before diet 180 125 240 150 173.75 49.56
Weight after six weeks 170 130 215 152 166.75 36.09
Difference 10 -5 25 -2 7 13.64
The goal is to test whether the water 'diet' leads to a mean weight loss.
1. 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
2. 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
3. Give a value for the test statistic, to 2 places past the decimal.
4. How many degrees of freedom are there?
5. What are bounds on the P-value?
a. P < .001
b .01 < P < .05
c .05 < P < .1
d. P > .1
6. Construct a 99% confidence interval for the mean weight loss. Give answer to TWO places past the decimal place.
a. Lower Limit
b. Upper Limit

idk

step-by-step explanation:

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu