Please answer 1-4. **Educational Content on Experiment Design and Probability: Page 1 of 4**1) **Experiment Design and Plant Growth** An experiment was designed to investigate the effect of the amount of water and seed variety upon subsequent growth of plants. Each plant was potted in a clay pot, and a measured amount of water was given weekly. The height of the plant at the end of the experiment was measured. Which of the following is NOT correct? - a) The response variable is the plant height. - b) The explanatory variables are the amount of water and seed variety. - c) Randomization was used to even out the effect of other possible factors upon the growth of the plants. - d) A possible uncontrollable factor in this experiment is any nutrients that might be present in the clay pots. - e) Designed experiments given the best evidence off "cause-and-effect" relationships.2) **Probability and Particle Movement** A particle travels left with a probability of one sixth and right with the probability of five sixths. Each movement is independent of the others. What is the chance that after three movements, the particle ends up one unit to the right? - a) $ \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right) $ - b) $ \left(\frac{5}{6}\right)^2 \left(\frac{1}{6}\right) $ - c) $ 3 \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right) $ - d) $ 3 \left(\frac{5}{6}\right)^2 \left(\frac{1}{6}\right) $ - e) none of these3) **Normal Distribution and Observations** The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about - a) 0.2266 - b) 0.7734 - c) 0.7764 - d) 0.80234) **Sampling and Confidence Intervals** Many television viewers express doubts about the validity of certain commercials. In an attempt to answer their critics, the Timex Corporation wishes to estimate the proportion of consumers who believe what is shown in Timex television commercials. Let $ p $

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1) An experiment was designed to investigate the effect of the amount of water and seed variety upon subsequent growth of plants. Each plant was potted in a clay pot, and a measured amount of water was given weekly. The height of the plant at the end of the experiment was measured. Which of the following is NOT correct? a) The response variable is the plant height. b) The explanatory variables are the amount of water and seed variety. c) Randomization was used to even out the effect of other possible factors upon the growth of the plants. d) A possible uncontrollable factor in this experiment is any nutrients that might be present

1) An experiment was designed to investigate the effect of the amount of water and seed variety upon subsequent growth of plants. Each plant was potted in a clay pot, and a measured amount of water was given weekly. The height of the plant at the end of the experiment was measured. Which of the following is NOT correct? a) The response variable is the plant height. b) The explanatory variables are the amount of water and seed variety. c) Randomization was used to even out the effect of other possible factors upon the growth of the plants. d) A possible uncontrollable factor in this experiment is any nutrients that might be present

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please answer 1-4.

**Educational Content on Experiment Design and Probability: Page 1 of 4**

1) **Experiment Design and Plant Growth**
An experiment was designed to investigate the effect of the amount of water and seed variety upon subsequent growth of plants. Each plant was potted in a clay pot, and a measured amount of water was given weekly. The height of the plant at the end of the experiment was measured. Which of the following is NOT correct?
- a) The response variable is the plant height.
- b) The explanatory variables are the amount of water and seed variety.
- c) Randomization was used to even out the effect of other possible factors upon the growth of the plants.
- d) A possible uncontrollable factor in this experiment is any nutrients that might be present in the clay pots.
- e) Designed experiments given the best evidence off "cause-and-effect" relationships.

2) **Probability and Particle Movement**
A particle travels left with a probability of one sixth and right with the probability of five sixths. Each movement is independent of the others. What is the chance that after three movements, the particle ends up one unit to the right?
- a) $ \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right) $
- b) $ \left(\frac{5}{6}\right)^2 \left(\frac{1}{6}\right) $
- c) $ 3 \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right) $
- d) $ 3 \left(\frac{5}{6}\right)^2 \left(\frac{1}{6}\right) $
- e) none of these

3) **Normal Distribution and Observations**
The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about
- a) 0.2266
- b) 0.7734
- c) 0.7764
- d) 0.8023

4) **Sampling and Confidence Intervals**
Many television viewers express doubts about the validity of certain commercials. In an attempt to answer their critics, the Timex Corporation wishes to estimate the proportion of consumers who believe what is shown in Timex television commercials. Let $ p $

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