Use z scores to compare the given values.Based on sample data, newborn males have weights with a mean of 3205.7 g and a standard deviation of 578.5 g. Newborn females have weights with a mean of 3049.7 g and a standard deviation of 675.7 g. Who has the weightthat 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 =thehas the weight that is more extreme.(Round to two decimal places.)

Answered: Image /qna-images/answer/459dbe02-1083-43b6-8e8f-1315bca2c53c.jpg

Answered: Use z scores to compare the given…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height of 72.0 inches and a standard deviation of 1.2. The Aviston Aces have a mean height of 70.8 inches and a standard deviation of 0.7. The Ballwin Bears have a mean height of 73 inches and a standard deviation of 1.0. On average, which team is a taller? Which team has players whose heights are more consistent?
i.
The amount of money raised by Clayton State teams for the Statistics Games is normally distributed, with a mean of $360 and a standard deviation of $15. We want to determine what proportion of the teams raise less than $396. What is the z-score for the data value?
A. What's the standard deviation for data set 1. B. What's the standard deviation for data set 2. C. What's the standard deviation for data set 3.
compare ihe altenuance al lNe res for a Saturday evening performance. He knows the mean and standard deviations for each theatre's usual attendance. Since the theatres have different seating capacity, he wants to use their relative measure of attendance as the basis for comparison. Using the information in the table below, which theatre has the relatively better attendance for a Saturday evening performance? Goodman Steppenwolf 454 Attendance 417 Mean St.dev. 383 34 438 20 a) What is Goodman's z-score? b) What is Steppenwolf's z-score? c) Which has better attendance?
The average McDonald's restaurant generates $3 million in sales each year with a standard deviation of 0.4. Russell wants to know if the average sales generated by McDonald's restaurants in Nebraska is different than the worldwide average. He surveys 26 restaurants in Nebraska and finds the following data (in millions of dollars):3.3, 3.2, 3.5, 3.3, 3.3, 3.4, 2.8, 3.5, 3.4, 2.5, 2.5, 3.6, 2.9, 2.9, 2.9, 3.5, 3.4, 2.7, 2.2, 2.5, 3.5, 3.6, 3.5, 3.7, 3.6, 2.8Perform a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.H0:(p or u)(<,> #)? Ha: p or u)(<,> #)? (So we will be performing a left or right or 2 tail 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 normal distributed or t distributed ? with distribution mean ? and distribution…
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3. Use the following information about the heights measured in feet of a sample of 40 Ponderosa Pine trees and 40 Eastern White Pine trees. Ponderosa Pine Trees: Mean of 77.5 ft with a standard deviation of 11.55 ft Eastern White Pine Trees: Mean of 67.25 ft with a standard deviation of 10.33 ft Is it more unusual for a Ponderosa Pine tree to have a height of 71 ft or an Eastern White Pine tree to have a height of 71 ft relative to the data of each species of tree? Use z-scores to explain your solution.
The 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 distribution
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( ? ♥ ?…
Five students took a self-confidence test. Their deviation scores were –4, +3, +1, –2, and +2. Assuming that these scores com form a normaldistribution, which deviation represents the highest raw score?
Researchers 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.)

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