The net weights (in grams) of a sample of bottles filled by a machine manufactured by Edne, and the net weights of a sample filled by a similar machine manufactured by Orno, Inc., are: Edne: 5, 8, 7, 6, 9 and 7
Orno: 8, 10, 7, 11, 9, 12, 14 and 9
Testing the claim at the 0.05 level that the mean weight of the bottles filled by the Orno machine is greater than the mean weight of the bottles filled by the Edne machine, what is the critical value? Assume equal standard deviations for both samples.
A) 2.179
B) 2.145
C) 1.782
D) 1.761

Question

Quizplus · Accepted Answer

The critical value for a one-tailed t-test with a 0.05 significance level and degrees of freedom calculated from the sample sizes of Edne (n=6) and Orno (n=8) is approximately 1.782.

The Net Weights (In Grams) of a Sample of Bottles