(11 pts) A farmer would like to evaluate Miracle Grow when used on his potted da
ID: 3291571 • Letter: #
Question
(11 pts) A farmer would like to evaluate Miracle Grow when used on his potted daisy plants. He sets up 20 plants in a room all facing the same window, obtaining the same amount of sunlight, and waters them identically each day. For a month, he monitors how much each plant grows. Then, he adds Miracle Grow to every pot and monitors how much each plant grows during a month with Miracle Grow. At the end of two months, he discovers that 16 plants grew more with Miracle Grow. Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01).
(2 pts) What is the appropriate test?
(1 pt) State the null hypothesis:
(1 pt) State the alternative hypothesis:
(2 pts) Find the critical value:
(1 pt) Calculate the obtained statistic:
(2 pts) Make a decision:.
(2 pts) What does your decision mean?
Explanation / Answer
What is the appropriate test?
The appropriate test is non-parametric sign test
State the null hypothesis: There is equal or less than equal growth when we use Miracle grow on plants
State the alternative hypothesis: There is high growth when we use miracle grow on plants with respect to when we use nothing.
Find the critical value:
critical value is Pr(X; 20; 0.5) <= 0.05
X = 15
Calculate the obtained statistic:
Obtained statistic = 16
Make a decision: Here 16 > 15 , so we can reject the null hypothesis.
(2 pts) What does your decision mean?
OUr decision of rejecting null hypothesis means that There is high growth when we use miracle grow on plants with respect to when we use nothing.
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