(a) Explanation Given info: One survey was done on global warming using the number of days the lake Wingra in Madison, was frozen over. During late 1800s, on average the lake was frozen for 124.9 days. One random sample of recent 8 years was taken and the number of days was taken and no. of days was noted down. The level of significance is α = 0.05 . Calculation: Step 1: Hypothesis: Null hypothesis: H 0 : μ = 124.9 That is, the number of days the lake was frozen is 124.9 days. Alternative hypothesis: H a : μ < 124.9 That is, the number of days the lake was frozen is less than 124.9 days. Step 2: Significance level: The level of significance is 5%. Step 3: P value: Software Procedure: Step by step procedure to obtain the P -value using the MINITAB software: Choose Stat >Nonparametrics> 1-Sample Sign. In Variables , enter the column of DAYS Choose the Test median , enter the value as 124.9 and select less than in Alternative (b) To determine Compare the result of part a, with the problem result of 9.149.

10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

See similar textbooks

Question

Chapter 9.6, Problem 173E

(a)

To determine

Test whether the average number of ice days is less than in the late 1800s using sign test.

(b)

To determine

Compare the result of part a, with the problem result of 9.149.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.6, Problem 172E

Chapter 9.6, Problem 174E

Students have asked these similar questions

In each of Exercises, use the Wilcoxon signed-rank test to perform the required hypothesis test. Global Warming? During the late 1800s, Lake Wingra in Madison, Wisconsin, was frozen over an average of 124.9 days per year. A random sample of eight recent years provided the following data on numbers of days that the lake was frozen over. 103 80 79 135 134 77 80 111 At the 5% significance level, do the data provide sufficient evidence to conclude that the average number of ice days is less now than in the late 1800s?

In Exercises 9–12, refer to the sample data from the given exercises in Section 13–2 on page 611. Use the Wilcoxon signed-ranks test for the claim about the median of a population. Exercise 13 “Earthquake Magnitudes”

In each of Exercises, use the Wilcoxon signed-rank test to perform the required hypothesis test. How Old People Are. In 2010, the median age of U.S. residents was 37.2 years, as reported by the U.S. Census Bureau in Current Population Reports. A random sample of 10 U.S. residents taken this year yielded the following ages, in years 44 64 16 59 38 47 51 41 13 28 At the 1% significance level, do the data provide sufficient evidence to conclude that the median age of today’s U.S. residents has increased from the 2010 median age of 37.2 years?

Chapter 9 Solutions

Introductory Statistics (10th Edition)

Ch. 9.1 - Explain the meaning of the term hypothesis as used...Ch. 9.1 - Regarding the term null hypothesis: a. Originally,...Ch. 9.1 - What role does the decision criterion play in a...Ch. 9.1 - Suppose that you want to perform a hypothesis test...Ch. 9.1 - Suppose that you are considering a hypothesis test...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - Suppose that, in a hypothesis test, the null...Ch. 9.1 - What is the relation between the significance...Ch. 9.1 - Answer true or false and explain your answer: If...Ch. 9.1 - Answer true or false and explain your answer: For...

Knowledge Booster

Test whether the average number of ice days is less than in the late 1800s using sign test.

Solution Summary: The author concludes that the P -value is greater than the level of significance.

Test whether the average number of ice days is less than in the late 1800s using sign test.

Compare the result of part a, with the problem result of 9.149.

Want to see the full answer?

Chapter 9 Solutions