A machine that is programmed to package 2.35 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 25 cereal boxes, the mean and the standard deviation are calculated as 2.37 pounds and 0.04 pound, respectively.
a. Specify the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either under filling or overfilling the cereal boxes.
b-1. Calculate the value of the test statistic.
Note: Round final answer to 2 decimal places.
b-2. Find the p-value.
multiple choice 1
0.01 Picture p-value < 0.02
p-value < 0.01
p-value Picture 0.10
0.02 Picture p-value < 0.05
0.05 Picture p-value < 0.10
c-1. What is the conclusion at the 10% significance level?
multiple choice 2
Do not reject H0 since the p-value is smaller than significance level.
Do not reject H0 since the p-value is greater than significance level.
Reject H0 since the p-value is smaller than significance level.
Reject H0 since the p-value is greater than significance level.
c-2. Can you conclude that the machine is not working properly?
multiple choice 3
No
Yes
