In: Statistics and Probability
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, and another random sample of 16 gears from the second supplier results in x2 = 292 and s2 = 22. Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 10 foot-pounds higher than that of supplier 1, find the tcalc value? Please report your answer upto 3 decimal places.
tcalc = (() - ())/sqrt(s1^2/n1 + s2^2/n2)
= ((290 - 292) - 10)/sqrt((12)^2/10 + (22)^2/16)
= -1.796