Question

Please show all work and circle final answers. Drop down options are "is" and "is not" and then the second blank is "is" and "is not"

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 j = 289.30 and si = 22.2, and another random sample of 16 gears from the second supplier results in 12 = 321.50 and $2 = 21. Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers? Use a = 0.05. Round numeric answer to 2 decimal places. Since the test statistic, fo = in the rejection region, there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers.

Answer 1

The R-code for critical value is
round(qf(c(0.025,0.975),9,15),3)
[1] 0.265 3.123

Given 5 = 22.2, S2=21, n = 10, 12 = 16 The bull and alternative hypothesis Hoi o²=G² Ha: 6,² 622 2 The degrees of freedom of En 1310-) =g and dfo=D21-16-1= 15 The Rejection region for this two-tailed test. is R= {FF L0.265 or E> 3.123} The test statistic F is computedes 22.22 ? fo=11.12 fes? علمي - ملا ہے 2,2 fis Dott in the rejection region there Lisbott sufficient evidence to conclude that the Vexiance of impact strength is different for the two suppliers