(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
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