The botanist in Example 8.2-1 is really interested in testing for synergistic

Chapter 8, Problem 8.2-1

(choose chapter or problem)

The botanist in Example 8.2-1 is really interested in testing for synergistic interaction. That is, given the two hormones gibberellin (GA3) and indoleacetic acid (IAA), let X1 and X2 equal the growth responses (in mm) of dwarf pea stem segments to GA3 and IAA, respectively and separately. Also, let X = X1 + X2 and let Y equal the growth response when both hormones are present. Assuming that X is N(X , 2) and Y is N(Y , 2), the botanist is interested in testing the hypothesis H0: X = Y against the alternative hypothesis of synergistic interaction H1: X < Y . (a) Using n = m = 10 observations of X and Y, define the test statistic and the critical region. Sketch a figure of the t pdf and show the critical region on your figure. Let = 0.05. (b) Given n = 10 observations of X, namely, 2.1 2.6 2.6 3.4 2.1 1.7 2.6 2.6 2.2 1.2 and m = 10 observations of Y, namely, 3.5 3.9 3.0 2.3 2.1 3.1 3.6 1.8 2.9 3.3 calculate the value of the test statistic and state your conclusion. Locate the test statistic on your figure. (c) Construct two box plots on the same figure. Does this confirm your conclusion?

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back