Question

A researcher is investigating whether a new fertilizer affects the yield of tomato plants. As part of an experiment, 20 plants will be randomly assigned the new fertilizer and 20 will be assigned the current fertilizer. The mean number of tomatoes produced per plant will be recorded for each fertilizer, and the difference in the sample means will be calculated. Which of the following is the appropriate inference procedure for analyzing the results of the experiment?a)A matched-pairs t-interval for a mean differenceb)A two-sample t-interval for a difference between sample meansc)A two-sample t-interval for a difference between population meansd)A one-sample t-interval for a sample meane)A one-sample t-interval for a population mean

Answer 1

Answer:

Correct option is (c).

Step-by-step explanation:

The experiment is conducted to determine whether a new fertilizer affects the yield of tomato plants.

The procedure involves randomly assigning the new fertilizer to 20 plants and the other 20 will be assigned the current fertilizer.

Then the mean number of tomatoes produced per plant will be recorded for each fertilizer, and the difference in the sample means will be calculated.

The collected sample data will then be used to make conclusion about the population.

The researchers main aim is to determine whether the new fertilizer is effective or not, i.e. if on using the new fertilizer the yield of tomatoes increases or not.

So, the parameter under study id the difference between tow population means.

To make inferences about the experiment the researcher can construct a two-sample t-interval for a difference between population means. The confidence interval has a certain specific probability of including the true parameter value.

Thus, the correct option is (c).