(In some of the exercises that follow, we must

Chapter 9, Problem 6E

(choose chapter or problem)

Let \(X_{1}, X_{2}, X_{3}, X_{4}\) equal the cholesterol level of a woman under the age of 50, a man under 50, a woman 50 or older, and a man 50 or older, respectively. Assume that the distribution of \(X_{i}\) is \(N\left(\mu_{i}, \sigma^{2}\right), i=1,2,3,4\). We shall test the null hypothesis \(H_{0}: \mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}\), using seven observations of each \(X_{i}\).

(a) Give a critical region for an \(\alpha=0.05\) significance level.

(b) Construct an ANOVA table and state your conclusion, using the following data:

(c) Give bounds on the \(p\)-value for this test.

(d) For each set of data, construct box-and-whisker diagrams on the same figure and give an interpretation of your diagram.

Equation Transcription:

  

.


Text Transcription:

X_1,X_2,X_3,X_4  

X_i

N(mu_i, sigma^2), i=1,2,3,4

H_0:mu_1=mu_2=mu_3=mu_4

X_i .

alpha=0.05  

p

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