(a) Explanation Given info: One survey was done on Birth weight. The median birth weight in 2005 of U.S. babies was 3389g or 7.5 lb. A random sample of 14 this year babies were taken. The level of significance is 5%. Calculation: Step 1: Hypothesis: Null hypothesis: H 0 : μ = 7.5 That is, the median birth weight of this year is same as that in 2005 Alternative hypothesis: H a : μ ≠ 7.5 That is,the median birth weight of this year differs from that in 2005. Step 2: Significance level: The level of significance is 5%. Step 3: Test statistic: Software Procedure: Step by step procedure to obtain the test statistic value using the MINITAB software: Choose Stat >Nonparametrics> 1-Sample Wilcoxon. In Variables , enter the column of WEIGHT Choose the Test median , enter the value as 7.5 and select not equal in Alternative . Click OK . Output using the MINITAB software is given below: From the MINITAB output, the value of W is 57.5. The test statistic is, z = W − n ( n + 1 ) 4 n ( n + 1 ) ( 2 n + 1 ) 24 = 57.5 − 13 ( 13 + 1 ) 4 13 ( 13 + 1 ) ( 2 × 13 + 1 ) 24 = 57 (b) To determine Compare the results of part a, with 9.154 problem where z -test was used.

10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

See similar textbooks

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

Videos

Question

Chapter 9.6, Problem 167E

(a)

To determine

Test whether the median birth weight of this year differs from that in 2005 or not using Wilcoxon signed rank test (normal approximation).

(b)

To determine

Compare the results of part a, with 9.154 problem where z-test was used.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.6, Problem 166E

Chapter 9.6, Problem 168E

Students have asked these similar questions

If a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…

Problem 1: The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is: Between the mean and $45 per hour? More than $45 per hour? Less than $32 per hour? Problem 2: The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds? What is the area between the mean and 395 pounds? What is the probability of randomly selecting a value less than 395 pounds? Problem 3: In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution. What percent of New York State high school teachers earn between 70,000 and 75,000? What percent of New York State high school…

Pls help asap

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

$Statistics$

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.

Test whether the median birth weight of this year differs from that in 2005 or not using Wilcoxon signed rank test (normal approximation).

Solution Summary: The author explains that there is no sufficient evidence to support that the median birth weight of this year differs from that in 2005.

Concept explainers

Videos

Test whether the median birth weight of this year differs from that in 2005 or not using Wilcoxon signed rank test (normal approximation).

Compare the results of part a, with 9.154 problem where z-test was used.

Want to see the full answer?

Chapter 9 Solutions