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 (E)
Orno (O)
9
8
8
6
6
10
10
8
6
16
5
13
9
8
Sample Size
?
?
Sample Mean
?
?
Sample Standard Deviation
?
?
Fill in the table where there is a ? before starting.
Assuming equal population standard deviations for both samples, consider 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.
Based on the p-value, which statement best describes a reasonable conclusion?
A. Fail to reject the null hypothesis at any significance level of 5% or less
B. Fail to reject the null hypothesis at the 1% significance level but reject the null hypothesis at 5% or greater
C. Fail to reject the null hypothesis
D. Reject the null hypothesis at the 1% significance level but fail to reject the null at 5% or greater