bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 15, Problem 33SE

The sign test is a very simple procedure for testing hypotheses about a population median assuming only that the underlying distribution is continuous. To illustrate, consider the following sample of 20 observations on component lifetime (hr):

Chapter 15, Problem 33SE, The sign test is a very simple procedure for testing hypotheses about a population median assuming

We wish to test H0: μ ˜ = 25.0 versus Ha: μ ˜ > 25.0. The test statistic is Y = the number of observations that exceed 25.

  1. a. Determine the P-value of the test when Y = 15. [Hint: Think of a “success” as a lifetime that exceeds 25.0. Then Y is the number of successes in the sample. What kind of a distribution does Y have when μ ˜ = 25.0?]
  2. b. For the given data, should H0 be rejected at significance level .05?

[Note: The test statistic is the number of differences Xi − 25 that have positive signs, hence the name sign test.]

Blurred answer
Students have asked these similar questions
Are there any unusually high or low pH levels in this sample of wells?
0 n AM RIES s of of 10 m Frequency 40 Frequency 20 20 30 10 You make two histograms from two different data sets (see the following figures), each one containing 200 observations. Which of the histograms has a smaller spread: the first or the second? 40 30 20 10 0 20 40 60 0 20 20 40 60 60 80 80 100 80 100
TIP the aren't, the data are not sym 11 Suppose that the average salary at a certain company is $100,000, and the median salary is $40,000. a. What do these figures tell you about the shape of the histogram of salaries at this company? b. Which measure of center is more appro- priate here? c. Suppose that the company goes through a salary negotiation. How can people on each side use these summary statistics to their advantage? 6360 be 52 PART 1 Getting Off to a Statistically Significant S

Chapter 15 Solutions

Bundle: Probability and Statistics for Engineering and the Sciences, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term Courses

Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License