Solution Found!
Let X equal the weight in pounds of a “1-pound” bag of
Chapter 8, Problem 7E(choose chapter or problem)
Let \(X\) equal the weight in pounds of a "1-pound" bag of carrots. Let \(m\) equal the median weight of a population of these bags. Test the null hypothesis \(H_{0}: m=1.14\) against the alternative hypothesis \(H_{1}: m>1.14\).
(a) With a sample of size \(n=14\), use the Wilcoxon statistic to define a critical region. Use \(\alpha \approx 0.10\).
(b) What would be your conclusion if the observed weights were
\(\begin{array}{lllllll}
1.12 & 1.13 & 1.19 & 1.25 & 1.06 & 1.31 & 1.12 \\
1.23 & 1.29 & 1.17 & 1.20 & 1.11 & 1.18 & 1.23
\end{array}\)
(c) What is the \(p\)-value of your test?
Questions & Answers
QUESTION:
Let \(X\) equal the weight in pounds of a "1-pound" bag of carrots. Let \(m\) equal the median weight of a population of these bags. Test the null hypothesis \(H_{0}: m=1.14\) against the alternative hypothesis \(H_{1}: m>1.14\).
(a) With a sample of size \(n=14\), use the Wilcoxon statistic to define a critical region. Use \(\alpha \approx 0.10\).
(b) What would be your conclusion if the observed weights were
\(\begin{array}{lllllll}
1.12 & 1.13 & 1.19 & 1.25 & 1.06 & 1.31 & 1.12 \\
1.23 & 1.29 & 1.17 & 1.20 & 1.11 & 1.18 & 1.23
\end{array}\)
(c) What is the \(p\)-value of your test?
ANSWER:Step 1 of 4
Given:
The random variable X represents the weight in pounds of a “1-pound” bag of carrots.
The statistical hypotheses are provided as,
Where, m represents the median weight of a population of these bags.