With an automated irrigation system, a plant grows to a

Chapter 4, Problem 210SE

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QUESTION:

Problem 210SE

With an automated irrigation system, a plant grows to a height of 3.5 centimeters two weeks after germination. Without an automated system, the height is normally distributed with mean and standard deviation 2.5 and 0.5 centimeters, respectively.

(a) What is the probability of obtaining a plant of this height or greater without an automated system?

(b) Do you think the automated irrigation system increases the plant height at two weeks after germination?

Questions & Answers

QUESTION:

Problem 210SE

With an automated irrigation system, a plant grows to a height of 3.5 centimeters two weeks after germination. Without an automated system, the height is normally distributed with mean and standard deviation 2.5 and 0.5 centimeters, respectively.

(a) What is the probability of obtaining a plant of this height or greater without an automated system?

(b) Do you think the automated irrigation system increases the plant height at two weeks after germination?

ANSWER:

Solution 210SE

Step1 of 3:

Let us consider a random variable X presents the the height of plants two weeks after germination. And X is normally distributed with mean and standard deviation

Here our goal is:

a). We need to find the probability of obtaining a plant of this height or greater without an automated system.

b). We need to check whether the automated irrigation system increases the plant height at two weeks after germination.


Step2 of 3:

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