Mathematics, 16.03.2020 19:19 rashadtarrance0
The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes
n1=15andn1=17
are selected, and the sample means and sample variances are
x¯¯¯1=8.73
,
s21=0.35
,
x¯¯¯2=8.68
, and
s22=0.40
, respectively. Assume that
σ21=σ22
and that the data are drawn from a normal distribution. a. Is there evidence to support the claim that the two machines produce rods with different mean diameters? Use α = 0.05 in arriving at this conclusion. Find the P-value. b. Construct a 95% confidence interval for the difference in mean rod diameter. Interpret this interval.
Answers: 2
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