Suppose you are planning a greenhouse experiment on growth of pepper plants. You will grow individually potted seedlings in standard soil and other seedlings in two types of specially treated soil (so you have three treatment groups). After 21 days, you wil measure stem length (cm) for each plant. If the expected means of the stem length for the three treatments are 9, 11, and 12 for each soil treatment, respectively, based on a prior study, you would like to have a 90% chance of rejecting H0 with an ANOVA. Data from the pilot study gave the standard deviation of 2. (a) Suppose you plan to test at a= 0.05. Use the pilot information to determine what value of n (sample size) you should use for each treatment. (b) Suppose you decide to adopt a more conservative posture and test at a = 0.01. What value of n (sample size) should you use?
Suppose you are planning a greenhouse experiment on growth of pepper plants. You will grow individually potted seedlings in standard soil and other seedlings in two types of specially treated soil (so you have three treatment groups). After 21 days, you wil measure stem length (cm) for each plant. If the expected means of the stem length for the three treatments are 9, 11, and 12 for each soil treatment, respectively, based on a prior study, you would like to have a 90% chance of rejecting H0 with an ANOVA. Data from the pilot study gave the standard deviation of 2. (a) Suppose you plan to test at a= 0.05. Use the pilot information to determine what value of n (sample size) you should use for each treatment. (b) Suppose you decide to adopt a more conservative posture and test at a = 0.01. What value of n (sample size) should you use?
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Suppose you are planning a greenhouse experiment on growth of pepper plants. You will grow individually potted seedlings in
standard soil and other seedlings in two types of specially treated soil (so you have three treatment groups). After 21 days, you will
measure stem length (cm) for each plant. If the expected means of the stem length for the three treatments are 9, 11, and 12 for
each soil treatment, respectively, based on a prior study, you would like to have a 90% chance of rejecting H0 with an ANOVA. Data
from the pilot study gave the standard deviation of 2.
(a) Suppose you plan to test at a= 0.05. Use the pilot information to determine what value of n (sample size) you should use for
each treatment.
(b) Suppose you decide to adopt a more conservative posture and test at a =0.01. What value of n (sample size) should you use?
16
Use the editor to format your answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24aca7cb-e8f7-44a8-aef5-d5469b420052%2F0cd86b92-593a-4d6a-b55d-615213a2dc16%2Fjczjr7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose you are planning a greenhouse experiment on growth of pepper plants. You will grow individually potted seedlings in
standard soil and other seedlings in two types of specially treated soil (so you have three treatment groups). After 21 days, you will
measure stem length (cm) for each plant. If the expected means of the stem length for the three treatments are 9, 11, and 12 for
each soil treatment, respectively, based on a prior study, you would like to have a 90% chance of rejecting H0 with an ANOVA. Data
from the pilot study gave the standard deviation of 2.
(a) Suppose you plan to test at a= 0.05. Use the pilot information to determine what value of n (sample size) you should use for
each treatment.
(b) Suppose you decide to adopt a more conservative posture and test at a =0.01. What value of n (sample size) should you use?
16
Use the editor to format your answer
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