(In some of the exercises that follow, we must
Chapter 9, Problem 13E(choose chapter or problem)
For an aerosol product, there are three weights: the tare weight (container weight), the concentrate weight, and the propellant weight. Let \(X_{1}, X_{2}, X_{3}\) denote the propellant weights on three different days. Assume that each of these independent random variables has a normal distribution with common variance and respective means \(\mu_{1}, \mu_{2}\), and \(\mu_{3}\). We shall test the null hypothesis \(H_{0}: \mu_{1}=\mu_{2}=\mu_{3}\), using nine observations of each of the random variables.
(a) Give a critical region for an \(\alpha=0.01\) significance level.
(b) Construct an ANOVA table and state your conclusion, using the following data:
(c) For each set of data, construct box-and-whisker diagrams on the same figure and give an interpretation of your diagrams.
Equation Transcription:
Text Transcription:
X_1,X_2,X_3
mu_1,mu_2
mu_3
H_0:mu_1=mu_2=mu_3
alpha=0.01
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