A procurement specialist has purchased 25 resistors from Vendor 1 and 35 resisto

Question

A procurement specialist has purchased 25 resistors from Vendor 1 and 35 resistors from Vendor 2. Each resistor’s resistance was measured and reported below. (adapted from [Montgomery and Runger 2011])

a. To compare mean performance of the two vendors, first compare variances to determine which t test to use. Draw conclusions at 95% confidence.

b. Based on part a, compare mean performance with the appropriate t test. Draw conclusions at 95% confidence.

PLEASE SHOW EACH AND EVERY STEP. THANK YOU!!!

Vendor 1 Vendor 2 96.8 106.8 100 106.8 100.3 104.7 98.5 104.7 98.3 108 98.2 102.2 99.6 103.2 99.4 103.7 99.9 106.8 101.1 105.1 103.7 104 97.7 106.2 99.7 102.6 101.1 100.3 97.7 104 98.6 107 101.9 104.3 101 105.8 99.4 104 99.8 106.3 99.1 102.2 99.6 102.8 101.2 104.2 98.2 103.4 98.6 104.6 103.5 106.3 109.2 107.2 105.4 106.4 106.8 104.1 107.1 107.7

Explanation / Answer

Two-Sample T-Test and CI: Vendor 1, Vendor 2

Two-sample T for Vendor 1 vs Vendor 2

N Mean StDev SE Mean
Vendor 1 25 99.58 1.53 0.31
Vendor 2 35 105.07 1.96 0.33

Difference = (Vendor 1) - (Vendor 2)
Estimate for difference: -5.493
95% CI for difference: (-6.396, -4.589)
T-Test of difference = 0 (vs ): T-Value = -12.17 P-Value = 0.000 DF = 57

P-value < 0.05 we reject the null hypothesis so we conclude that there is significance difference between two variables.

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