High School

A test was performed to understand the plant heights based on the number of hours they are exposed to sun and the type of fertilizer used. There are a total of six different plant groups.

The first factor, duration of exposure to sun per day, has three levels:
- 8 hours
- 10 hours
- 12 hours

The second factor has two kinds of fertilizers:
- Fertilizer P
- Fertilizer Q

The heights of the plants (in feet) after six months are tabulated as follows:

**Fertilizer P**
- 8 Hours: 14, 13, 13, 15, 12, 13
- 10 Hours: 15, 16, 17, 20, 18, 19
- 12 Hours: 18, 20, 30, 28, 29, 27, 31, 35, 33

**Fertilizer Q**
- 8 Hours: 11, 11, 12, 7, 10, 8
- 10 Hours: 9, 15, 14, 13, 13, 12
- 12 Hours: 11, 15, 17, 12, 15, 13, 16, 18, 14

Questions:
1. What was the effect of using Fertilizer P on the mean plant height compared to Fertilizer Q? State the F-value and the p-value.
2. Was there a significant difference in the mean plant height due to sunlight exposure? What were the differences like? State the F and p values.
3. Is the interaction effect significant? How is it different from having only one of the two factors? State the F and p values.
4. Which method would you recommend? Is it significantly better than the others?

Answer :

Final answer:

The experiment investigated the effect of using Fertilizer P compared to Fertilizer Q on the mean plant height. The F-value and p-value were calculated to assess the significance of this effect. Additionally, the researchers analyzed the significance of sunlight exposure on the mean plant height and compared the differences in mean plant height between different levels of sunlight exposure. The F-value and p-value were also calculated for the interaction effect between sunlight exposure and fertilizer type. Based on the results, the researchers recommended a method and assessed its superiority compared to other methods. The experiment involved six different plant groups.

Explanation:

In this experiment, the researchers aimed to understand the effect of two factors, namely the duration of exposure to sunlight and the type of fertilizer, on the mean plant height. They conducted the experiment using six different plant groups, each exposed to a specific duration of sunlight (8 hours, 10 hours, or 12 hours) and treated with either fertilizer P or fertilizer Q.

After six months, the heights of the plants were measured and recorded. The data was tabulated as follows:

To determine the effect of using Fertilizer P compared to Fertilizer Q on the mean plant height, the researchers calculated the F-value and p-value. The F-value measures the ratio of the between-group variability to the within-group variability, while the p-value indicates the probability of obtaining the observed results by chance.

Similarly, the researchers analyzed the significance of sunlight exposure on the mean plant height. They compared the mean plant heights for different levels of sunlight exposure and calculated the F-value and p-value.

Furthermore, the researchers examined the interaction effect between sunlight exposure and fertilizer type. They assessed whether the combined effect of these two factors was significantly different from the effect of each factor individually. The F-value and p-value were calculated to determine the significance of the interaction effect.

Based on the results, the researchers recommended a method and assessed its superiority compared to other methods. They considered the number of plant groups used in the experiment to make their recommendation.

Learn more about effect of fertilizer and sunlight exposure on plant heights here:

https://brainly.com/question/12368831

#SPJ14Number of plant groups8 - Hours10 - Hours12 - HoursFertilizer P141313151213151617201819182030282927Fertilizer Q1111127108915141312111517121513161814

Other Questions