MULTIPLE CHOICE DANKI company wants to start new business in Orlando. They are f

Question

MULTIPLE CHOICE

DANKI company wants to start new business in Orlando. They are famous on the line of 3D printers, and they need your help to improve their new model 3D Printer DANKI Light. The have taking some random sample from two different brands to measure to smoothness of their 3D output. Which is measure in pores/mm , the lower the pores the best smoothness. DANKI took 15 samples and compared their results with 17 samples from another brand. The results were was follow: top enclose x subscript 1=8.73, top enclose x subscript 2=8.68, s1=0.59161s2=0.63246. Compare which company has the best smooth 3D printer. The null and alternative Hypothesiswill be?

A) H0 : 1-2=5 H1 : 1-2 >5

B) H0 : 1-2=0 H1 : 1-2< 0

C) H0 : 1-2=0 H1 : 1-2 not equal to 0

D) H0 : 1-2=0 H1 : 1-2 > 0

Explanation / Answer

Given that,
mean(x)=8.73
standard deviation , s.d1=0.59161
number(n1)=15
y(mean)=8.68
standard deviation, s.d2 =0.63246
number(n2)=17
null, Ho: u1 = u2
alternate, H1: u1 > u2
level of significance, = 0.01
from standard normal table,right tailed t /2 =2.624
since our test is right-tailed
reject Ho, if to > 2.624
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =8.73-8.68/sqrt((0.35/15)+(0.40001/17))
to =0.231
ANSWERS
---------------
null, Ho: u1 - u2 = 0
alternate, H1: u1 - u2 >0

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