Question

a quality-control manager randomly selects 30 bottles of ketchup that were filled on july 20 to assess the calibration of the filling machine. what is the population in the study?
a. the 30 bottles of ketchup selected in the plant on july 20.
b. all bottles of ketchup produced in the plant on july 20.
c. all bottles of ketchup produced in the plant in the given year.
d. the 30 bottles of ketchup selected in the plant.
what is the sample in the study?
a. all bottles of ketchup produced in the plant on july 20.
b. the 30 bottles of ketchup selected in the plant on july 20.
c. all bottles of ketchup produced in the plant in the given year.
d. the 30 bottles of ketchup selected in the plant in july.

Explanation:

Question 1: What is the population in the study?

The population in a statistical study is the entire group of interest. Here, the study is about assessing the calibration of the filling machine for bottles filled on July 20. So the population should be all bottles of ketchup produced in the plant on July 20. Option A is the sample (30 selected bottles), Option C is too broad (entire year), Option D is the sample without specifying July 20. So the correct population is Option B.

The sample is a subset of the population selected for the study. The manager randomly selected 30 bottles filled on July 20. Option A is the population, Option C is too broad, Option D incorrectly states "in July" instead of "on July 20". So the sample is the 30 bottles selected on July 20, which is Option B.

Answer:

B. All bottles of ketchup produced in the plant on July 20.

Question 2: What is the sample in the study?