SOLUTION: A company manufacture nails using two machines (two technologies) bearing the same cost of production for one nail. However; the company needs to examine whether the lengths of na

Question 1178323: A company manufacture nails using two machines (two technologies) bearing the same cost of
production for one nail. However; the company needs to examine whether the lengths of nails
produced by two machines are similar (in centimetres)
|Machine | A | B |
|Mean | 1.3cm | 1.6cm |
|Standard Deviation | 0.5cm | 0.3cm |
|Number of nails | 22 | 24 |
1.What is the test you are going to conduct to examine whether there is any difference between the lengths of nails produced by two techniques?
2.Mention the null hypothesis?
3.Write the formula for this test and define the each value.
4.Plug these values to the formula and get your test statics?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Hi
|Machine | A | B |
|Mean | 1.3cm | 1.6cm |
|Standard Deviation | 0.5cm | 0.3cm |
|Number of nails | 22 | 24 |
Are lengths of nails produced by two machines similar or Different?
Ho: p = 1.6
Ha: p (different)
.05 confidence level, 2 tailed t-test:  t (df 46-2=44) = 2.015
t=(x bar-mean)/sqrt ((s1^2/n1)+(s2^2/n2))
t= (.3)/sqrt ((.25/22)+(.09/24)) = 2.440
 2.440 > 2.015 Reject Ho, study indicates length of the nails are different
Wish You the Best in your Studies.

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