Solution Found!
(In some of the exercises that follow, we must
Chapter 8, Problem 3E(choose chapter or problem)
Let X equal the weight in grams of a Low-Fat Strawberry Kudo and Y the weight of a Low-Fat Blueberry Kudo. Assume that the distributions of X and Y are \(N(\mu_X , \sigma^2_X )\) and \(N(\mu_Y , \sigma^2_Y )\), respectively. Let
21.7 21.0 21.2 20.7 20.4 21.9 20.2 21.6 20.6
be n = 9 observations of X, and let
21.5 20.5 20.3 21.6 21.7 21.3 23.0
21.3 18.9 20.0 20.4 20.8 20.3
be m = 13 observations of Y. Use these observations to answer the following questions:
(a) Test the null hypothesis \(H_0: \mu_X = \mu_Y\) against a two sided alternative hypothesis. You may select the significance level. Assume that the variances are equal.
(b) Construct and interpret box-and-whisker diagrams to support your conclusions.
Questions & Answers
QUESTION:
Let X equal the weight in grams of a Low-Fat Strawberry Kudo and Y the weight of a Low-Fat Blueberry Kudo. Assume that the distributions of X and Y are \(N(\mu_X , \sigma^2_X )\) and \(N(\mu_Y , \sigma^2_Y )\), respectively. Let
21.7 21.0 21.2 20.7 20.4 21.9 20.2 21.6 20.6
be n = 9 observations of X, and let
21.5 20.5 20.3 21.6 21.7 21.3 23.0
21.3 18.9 20.0 20.4 20.8 20.3
be m = 13 observations of Y. Use these observations to answer the following questions:
(a) Test the null hypothesis \(H_0: \mu_X = \mu_Y\) against a two sided alternative hypothesis. You may select the significance level. Assume that the variances are equal.
(b) Construct and interpret box-and-whisker diagrams to support your conclusions.
ANSWER:Step 1 of 5
Given:
X represents the weight in grams of a Low-Fat Strawberry Kudo.
Y represents the weight of a Low-Fat Blueberry Kudo.
The variables X and Y are normally distributed.
The number of observations of X is n=9.
The number of observations of Y is m=13.