Amanufacturer receives parts from two suppliers. an srs of 400 parts from supplier 1 finds 20 defective; an srs of 100 parts from supplier 2 finds 10 defective. let p 1 p1 and p 2 p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective. the manufacturer wants to know if there is evidence of a difference in the proportion of defective parts produced by the two suppliers. to make this determination, you test the hypotheses h 0 : p 1 = p 2 h0: p1=p2 and h a : p 1 ≠ p 2 .

Since p >0.05 at 5% level we find that there is no evidence    of a difference in the proportion of defective parts produced by the two suppliers

Step-by-step explanation:

Given that a manufacturer receives parts from two suppliers. An SRS of 400 parts from supplier 1 finds 20 defective; an SRS of 100 parts from supplier 2 finds 10 defective.

Let p 1 p1 and p 2 p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective.

(two tailed test )

Sample             I            II          total

N                     400      100        500

x                        20         10          30

p                       0.05    0.10      0.06

Z= -1.8831

p value = 0.0601

Since p >0.05 at 5% level we find that there is no evidence    of a difference in the proportion of defective parts produced by the two suppliers

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: