The mean length of a candy bar is 43 millimeters. There is concern that the settings of the machine
Cutting the bars have changed. Test the claim at the 0.02 level that there has been no change in the
Mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were
Selected at random and their lengths recorded. The lengths are (in millimeters) 42, 39, 42, 45, 43,
40, 39, 41, 40, 42, 43, and 42. Has there been a statistically signiﬁcant change in the mean length of
The bars?
A) Yes, because the computed t lies in the rejection region.
B) No, because the information given is not complete.
C) No, because the computed t lies in the area to the right of -2.718.
D) Yes, because 43 is greater than 41.5.

Question

The mean length of a candy bar is 43 millimeters. There is concern that the settings of the machine
Cutting the bars have changed. Test the claim at the 0.02 level that there has been no change in the
Mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were
Selected at random and their lengths recorded. The lengths are (in millimeters) 42, 39, 42, 45, 43,
40, 39, 41, 40, 42, 43, and 42. Has there been a statistically signiﬁcant change in the mean length of
The bars? 
A) Yes, because the computed t lies in the rejection region. 
B) No, because the information given is not complete. 
C) No, because the computed t lies in the area to the right of -2.718. 
D) Yes, because 43 is greater than 41.5.

Quizplus · Accepted Answer

Yes, because the computed t lies in the rejection region.

The Mean Length of a Candy Bar Is 43 Millimeters