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Chapter 10: Q. 40 (page 598)

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

At the 1 % significance level, what is your conclusion?

Short Answer

Expert verified

From the sample data, there is insufficient evidence to conclude that plant food rises as plant height increases, rather than not feeding the plants.

Step by step solution

01

Given Information

The table is

Plant Group
Sample Mean Height of Plants (inches)
Population Standard Deviation
Food162.5
No food141.5
02

At the 1% significance level, what is your conclusion.

Since, a<p- value that is 0.01<0.0198

To not rule out the null hypothesis.

From the sample data, there is insufficient evidence to conclude that plant food rises as plant height increases, rather than not feeding the plants.

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A study is done to determine if Company A retains its workers longer than Company B. Company A samples 15workers, and their average time with the company is five years with a standard deviation of 1.2.Company B samples 20workers, and their average time with the company is 4.5yearswith a standard deviation of 0.8.The populations are normally distributed.

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