Question

In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. To test that hypothesis, the times it takes each machine to pack 10 cartons are recorded. It is given that the mean time for the new machine is 42.14 seconds with a standard deviation of 0.683 seconds. The mean time for the old machine is 43.23 seconds with a standard deviation of 0.750 seconds.

What are the observational units?

What is the variable being measured?

Is the variable categorical or quantitative?

Which scenario would you use to analyze these data? Select one: a. Two proportion b. One means (matched pairs) c. One means d. One proportion e. Two mean

You may not use a theory-based test on these data since the validity requirements are not met. Select one: True False

Answer 1

What are the observational units?

- Observational units are entities whose characteristics are measured by us. Thus, machine which packs cartons with jars are observational units

What is the variable being measured?

- Mean time for packing carton with jar is the variable which is being measured

Is the variable categorical or quantitative?

- Categorical is qualitative and non numeric whereas quantitative is numeric. Here, we are measuring time. Thus, it is quantitative variable

Which scenario would you use to analyze these data? Select one: a. Two proportion b. One means (matched pairs) c. One means d. One proportion e. Two mean

- Here, two different machines are used old and new. Their mean time for packing is calculate, Thus, the scenario that we can use is e. Two mean

You may not use a theory-based test on these data since the validity requirements are not met.

- True. You can't rely simply on theory based test.