DANKI company wants to start new business in Orlando. They are famous on the lin

Question

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

Here we have to compare which company has the best smooth 3D printer.

The lower pores the best smoothness of their 3D ouput.

Hypothesis is,

H0 : u1 - u2 = 0              H1 : u1 - u2 < 0

If null hypothesis rejected then we accept alternative hypothesis that is ( u1-u2 ) < 0 ( i.e u1< u2 )

That is mean of pore of first brand is low.

So here printer of first brand has best smooth.

OR

hypothesis ,

H0 : u1 - u2 = 0              H1 : u1 - u2 > 0

If null hypothsis rejected then we accept alternative hypothesis that is u1 - u2 > 0 ( i.e. u1 > u2 )

That is mean of pores of second brand is low.

So here printer of the second brand has best smooth.

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