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 14 plants grew more with Miracle Grow.  Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01).   a) Is this a one-tailed or two-tailed test?  ( b) State the null hypothesis.  c) State the alternative hypothesis.  d) Find the critical value(s).  e) Calculate the obtained statistic.  f) Calculate the P-Value (significance) of the obtained statistic). g) Make a decision.  h) What does your decision mean?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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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 14 plants grew more with Miracle Grow.  Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01).

 

a) Is this a one-tailed or two-tailed test?  (

b) State the null hypothesis. 

c) State the alternative hypothesis. 

d) Find the critical value(s). 

e) Calculate the obtained statistic. 

f) Calculate the P-Value (significance) of the obtained statistic).

g) Make a decision. 

h) What does your decision mean? 

 

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