Which of the following are suitable null hypotheses. if not, explain why. a. comparing two groupsconsider comparing the average blood pressure of a group of subjects, both before and after they are placed on a low salt diet. in this case, the null hypothesis is that a low salt diet does reduce blood pressure, i. e., that the average blood pressure of the subjects is the same before and after the change in diet. b. classification. assume there are two classes, labeled + and -, where we are most interested in the positive class, e. g., the presence of a disease. h0 is the statement that the class of an object is negative, i. e., that the patient does not have the disease. c. association analysisfor frequent patterns, the null hypothesis is that the items are independent and thus, any pattern that we detect is spurious. d. clusteringthe null hypothesis is that there is cluster structure in the data beyond what might occur at random. e. anomaly detectionour assumption, h0, is that an object is not anomalous.

q: 92 degrees

hope i ^-^

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.