![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
![Use z scores to compare the given values.
Based on sample data, newborn males have weights with a mean of 3274.7 g and a standard deviation of 627.7 g. Newborn females have weights with a mean of 3038.5 g and a standard deviation of
683.3 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g?
Since the z score for the male is z =
and the z score for the female is z =
, the
has the weight that is more extreme.
(Round to two decimal places.)](https://content.bartleby.com/qna-images/question/b8b63031-b380-43c7-bd2c-7580ac24fd28/a2f4d5fb-a865-4971-890e-bb108ac19e9c/ecl0fwn.jpeg)
Transcribed Image Text:Use z scores to compare the given values.
Based on sample data, newborn males have weights with a mean of 3274.7 g and a standard deviation of 627.7 g. Newborn females have weights with a mean of 3038.5 g and a standard deviation of
683.3 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g?
Since the z score for the male is z =
and the z score for the female is z =
, the
has the weight that is more extreme.
(Round to two decimal places.)
Expert Solution
![Check Mark](/static/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 1 images
![Blurred answer](/static/blurred-answer.jpg)
Knowledge Booster
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
- Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3234.3 g and a standard deviation of 544.6 g. Newborn females have weights with a mean of 3036.7 g and a standard deviation of 598.7 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g? Since the z score for the male is z=nothing and the z score for the female is z=nothing, the ▼ male female has the weight that is more extreme. (Round to two decimal places.)arrow_forwardThe University of Montana admission standards require students to have an ACT score of at least 22. We know that Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. A: Students in Oregon have a mean ACT score of 21.1 with a standard deviation of 2.8. If we chose one student each at random from Oregon and from Montana, which student would be more likely to meet the ACT requirements of the University of Montana? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. B: We know that the Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. Assume that the top 2% of individuals in the state are eligible for a state-funded scholarship. What score does an individual need on the ACT to be eligible? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distributionarrow_forwardAccording to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.arrow_forward
- The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…arrow_forwardResearchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 8.04 mm and a standard deviation of 0.54 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 8.8 mm and 7.3 mm. Round your answers to two decimal places. a. Find the standardized version of x. X- 8.04 0.54 (Do not simplify. Use integers or decimals for any numbers in the expression. Do not round.) b. Determine and interpret the z-scores for thumb lengths of 8.8 mm and 7.3 mm. Round your answers to two decimal places. Determine and interpret the z-score for a thumb length of 8.8 mm. The z-score for a thumb length of 8.8 is |. This is standard deviations the mean thumb length. (Round to two decimal places as needed.)arrow_forwardA hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?arrow_forward
- Is a measure of 29 inches "far away" from a mean of 19 inches? Suppose the data come from a sample whose standard deviation is 2 inches. A. How many standard deviation is 29 inches from 19 inches? b. Is 29 inches far away from a mean of 19 inches? c. Suppose the standard deviation of the underlying data is 7 inches. Is 29 inches far away from a mean of 19 inches?arrow_forwardAn instructor claims that the average number of hours needed to study for a final exam in order to pass should be 5 hours. A student believes that the instructor is understating the number of hours needed to pass and surveys 36 students and finds the sample mean and standard deviation to be 5.7 and 1.5 hours respectively. Test the instructors claim at a .10 level.arrow_forwardUse z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallestarrow_forward
- A Physics test has a mean of 150 and a standard deviation of 12. A Geography test has a mean of 46 and a standard deviation of 3.5. If both exams are unimodal and symmetric, which is more unusual: A Physics test of 183 or a Geography test of 36?arrow_forward...........arrow_forwardAirline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. They are also interested in the variation of the number of Babies. Suppose that an airline executive believes the standard deviation in the number of babies is 6 at the most. The airline conducts a survey. The results of the 23 flights surveyed give a samle mean of 8 with a sample standard deviation of 9. Test the executive's belief to see if it is accurate, or if it is actually greater at the a = 0.05 level. Ho:o = H:o Select an answer df = P-value = The p-value is... greater than a less than (or equal to) a This test statistic leads to a decision to... reject the null fail to reject the null accept the alternative accept the null As such, the final conclusion is that there Select an answer v sufficient evidence to conclude the standard deviation of the number of babies on airplanes is Select an answer than (?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
![Text book image](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman