Westline Widgets wants to test the production capability of machines from 2 different suppliers. After training...

Westline Widgets wants to test the production capability of machines from 2 different suppliers. After training Maria on both machines, Maria averaged 64 widgets across 30 samples using the first machine and 58 widgets across 35 samples using the second machine. Management wants to perform a hypothesis test for the difference of the means at the 10% significance level using the information provided. Assume UNEQUAL population variances and use degrees of freedom = 55.
H0: μ1 – μ2 = 0
HA: μ1 – μ2 ≠ 0
x ̅1 = 64 x ̅2 = 58
n1 = 30 n2 = 35
Sample Variance1 = 370 Sample Variance2 = 240

1- The test statistic is ? rounded to 2 decimal places.

2-The critical value for the hypothesis test described previously in Problem 5 is ± ?

3-Re-do the previous problem about Westline Widgets testing the production capability of machines from 2 different suppliers but this time assume EQUAL population variances and pooled sample variance = 299.8413. The test statistic is ? rounded to 2 decimal places.

Solutions

Expert Solution

Assuming UNEQUAL population variances,

Assuming EQUAL population variances,

orchestra answered 2 years ago

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