Multiple myeloma, or blood plasma cancer, is characterized by increased blood vessels formulation (angiogenesis) in the bone marrow that is a predictive factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient's is own stem cells. The data shown below represent the bone narrow microvessel density for patients who had complete response to the stem cell transplant (as measured by blood and urine test). The measurement were taken immediately prior to the stem cell transplant and the time the complete response was determined - Patient 1 2 3 4 5 6 7 Before 157 190 302 416 350 426 440 After 284 214 101 290 227 176 280

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Step-by-step explanation:

Given the data:

Patient : 1 2 3 4 5 6 7

Before 157 190 302 416 350 426 440

After 284 214 101 290 227 176 280

This is a paired sample t test :

H0 : μd = 0

H0 : μd ≠ 0

The difference, d = -127, -24, 201, 126, 123, 250, 160

Using calculator :

Mean of d = Σd / n = 101.286

Standard deviation of d ; Sd = 131.909

The test statistic : μd / (Sd / √n)

The test statistic = (101.286) / (131.909 / √7)

The test statistic = 2.031

The Pvalue ; df = n - 1 ; 7 - 1 = 6

Pvalue(2.031 ; 6) = 0.0885

At α = 0.05

Pvalue > α ; WE fail to reject H0 and conclude that there is no difference in mean.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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