MA 132 Applications of the Normal Distribution Presentation

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MA 132 Section 7.2 Applications of the Normal Distribution !-Scores n "-scores represent the distance that a data value is from the mean in terms of the number of standard deviations. $−& "= ' Calculating a z-score n n n n n n IQ scores are normally distributed with a mean ! = 100 and % = 15 . Calculate the z-score for an IQ of 120 '= ()* + = ,-.),.. ,/ = 1.33 What does this mean? An IQ of 120 is 1.33 “standard deviations” above the mean. i.e., 120 ≈ 100 + 1.33×15 Finding Probabilities/Proportions Using a Normal Curve r u PIGS ) EXE 80 • 8536 2nd VARS, - ! ! ! % 2 : normal Cdf normakdf ( 65 , 80 , 70,45) Henniker .. . ÷ : : Example, continued - 1333 PIX 275) / 70 normal Cdf ( 75, = y 75 to IE 99 . I 1333 E 99 70 , , ) 4. S Example, continued . 0377 Norma rcdfl = I - - D I E.99 62 70 . - IE 99 0377 , 62 , 70 , 4. s ) Example, continued 75.77 2nd 3 vars . inv Norm inv Norm Area is • go f. 9,0 , u Area . to the \ left X H 75.77 of X M T 70 4. s , ) Example 2: Suppose we know that the heights of men aged 18-24 follow a normal distribution with mean ! = 70.0 inches and standard deviation & = 2.8 inches n What proportion of all adult men aged 18-24 is less than 73 inches tall? 2nd vars - IE99 g / 70 73 M 2. ) normalcdff-IF.gg?,?pep7n92g8 = . 8580 Example 2: Suppose we know that the heights of men aged 18-24 follow a normal distribution with mean ! ...
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Algonquin College Distribution of Frequency of Age Groups Paper

Everything should be in the instruction file attached below,

Algonquin College Distribution of Frequency of Age Groups Paper

Everything should be in the instruction file attached below,

What is the marginal relative frequency of 12th graders?

Answers only*The table below shows the results of a poll in which randomly selected high school students were asked if the ...

What is the marginal relative frequency of 12th graders?

Answers only*The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the marginal relative frequency of 12th graders?9th Grade 10th Grade 11th Grade 12th Grade Football128127Basketball51079a. 0.4375b. 0.5625c. 0.2286d. 0.1The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the joint relative frequency of 10th graders who like football?9th Grade10th Grade11th Grade12th GradeFootball128127Basketball51079a. 0.1143b. 0.1429c. 0.4444d. 0.3077 The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. What is the marginal relative frequency of students who prefer traditional school?9th Grade10th Grade11th Grade12th GradeVirtual9141720Traditional171652a. 0.06b. 0.6c. 0.04d. 0.4The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. If you are given a student who prefers virtual school, what is the probability that the student is also a 12th grader? 9th Grade 10th Grade 11th Grade 12th Grade Virtual9141720Traditional171652a. about 0.33b. about 0.91c. about 0.25d. about 0.20Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table below. What is the probability that someone who is a student is also in favor of extending the parking lot into part of the athletic fields? In Favor Not in FavorStudents1623Teachers914a. about 0.64b. about 0.26c. about 0.41d. about 0.16The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. What is the joint relative frequency of 9th graders who prefer virtual schools?9th Grade10th Grade11th Grade12th GradeVirtual9141720Traditional171652a. 0.09b. 0.17c. 0.3462d. 0.15The tally below shows the results of a poll in which adults and children were asked their favorite type of dessert. Which of the following two way tables shows the correct relative frequencies for the tally shown below?a. b. c. d. Chuck is the owner of a car dealership. He is assessing the success rates of his top three salespeople in order to offer one of them a promotion. Over two months, for each attempted sale, he records whether the salesperson made a successful sale or not. The results are shown in the table below. Which salesperson has the highest success rate? Successful UnsuccessfulRachel64Jeff55Bill87Jennifer36a. Rachelb. Jeffc. Billd. JenniferFour competing basketball teams in ABC county are competing to go to the state basketball championship. The team with the highest win rate will go to the championship. Which team would be selected to go? Win LossBarracudas133Sharks103Sixers121Hawks82a. Barracudasb. Sharksc. Sixersd. Hawks

Geometry - polygons in the coordinate plane multiple choice questions, math homework help

MUST CORRECTLY ANSWER THE MULTIPLE CHOICE QUESTIONS IN THE ATTACHED FILE. DOUBLE CHECK ANSWERS TO MAKE SURE THEY ARE ABSO ...

Geometry - polygons in the coordinate plane multiple choice questions, math homework help

MUST CORRECTLY ANSWER THE MULTIPLE CHOICE QUESTIONS IN THE ATTACHED FILE. DOUBLE CHECK ANSWERS TO MAKE SURE THEY ARE ABSOLUTELY CORRECT

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Hello, thanks in advance for the help.. The test have 20 questions I will upload some of the questions now and the rest in message.

MIS 445 Business Statistics Project

R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Link ...

MIS 445 Business Statistics Project

R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Links to an external site.)Links to an external site. to download the R software to your computer (follow the instructions provided in the attached R Installation Instructions sheet). The R Project website (Links to an external site.)Links to an external site. provides a brief introduction to R that you may also want to review. n this CT assignment, we will use R software to analyze a dataset GoogleAmazonStock.xlsx. It contains daily closing stock prices for Google and Amazon from 8/22/2017 to 8/22/2018. When we examine stock prices (or other financial assets) we often transform them into a (simple) return series. The return series are computed by the formula: (present price/past price) - 1. The dataset contains both stock prices and return series. 1. Using R, construct time series (line) plots for both stock prices and return series. R functions ts.plot or plot can create the plot. Describe the patterns and compare the plots. 2. Based on the return series, can we claim that the mean Amazon return series is higher than that of Google? a. What would be an appropriate test of the claim above? Explain. b. Write the null and alternative hypotheses. c. Using R, perform the test. d. Write the decision in the problem context. Take the screenshots of the R graphs and output as well as the code. Paste them into a Word document along with your answers to the questions above. Clearly label the questions and answers. Submit the Word file in Canvas.

4 pages

Mth 102 Milestone 3

The primary objective of this project will be to perform a few hypothesis tests, make inferences on the test statistics, a ...

Mth 102 Milestone 3

The primary objective of this project will be to perform a few hypothesis tests, make inferences on the test statistics, and state null/alternative ...

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Algonquin College Distribution of Frequency of Age Groups Paper

Everything should be in the instruction file attached below,

Algonquin College Distribution of Frequency of Age Groups Paper

Everything should be in the instruction file attached below,

What is the marginal relative frequency of 12th graders?

Answers only*The table below shows the results of a poll in which randomly selected high school students were asked if the ...

What is the marginal relative frequency of 12th graders?

Answers only*The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the marginal relative frequency of 12th graders?9th Grade 10th Grade 11th Grade 12th Grade Football128127Basketball51079a. 0.4375b. 0.5625c. 0.2286d. 0.1The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the joint relative frequency of 10th graders who like football?9th Grade10th Grade11th Grade12th GradeFootball128127Basketball51079a. 0.1143b. 0.1429c. 0.4444d. 0.3077 The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. What is the marginal relative frequency of students who prefer traditional school?9th Grade10th Grade11th Grade12th GradeVirtual9141720Traditional171652a. 0.06b. 0.6c. 0.04d. 0.4The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. If you are given a student who prefers virtual school, what is the probability that the student is also a 12th grader? 9th Grade 10th Grade 11th Grade 12th Grade Virtual9141720Traditional171652a. about 0.33b. about 0.91c. about 0.25d. about 0.20Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table below. What is the probability that someone who is a student is also in favor of extending the parking lot into part of the athletic fields? In Favor Not in FavorStudents1623Teachers914a. about 0.64b. about 0.26c. about 0.41d. about 0.16The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. What is the joint relative frequency of 9th graders who prefer virtual schools?9th Grade10th Grade11th Grade12th GradeVirtual9141720Traditional171652a. 0.09b. 0.17c. 0.3462d. 0.15The tally below shows the results of a poll in which adults and children were asked their favorite type of dessert. Which of the following two way tables shows the correct relative frequencies for the tally shown below?a. b. c. d. Chuck is the owner of a car dealership. He is assessing the success rates of his top three salespeople in order to offer one of them a promotion. Over two months, for each attempted sale, he records whether the salesperson made a successful sale or not. The results are shown in the table below. Which salesperson has the highest success rate? Successful UnsuccessfulRachel64Jeff55Bill87Jennifer36a. Rachelb. Jeffc. Billd. JenniferFour competing basketball teams in ABC county are competing to go to the state basketball championship. The team with the highest win rate will go to the championship. Which team would be selected to go? Win LossBarracudas133Sharks103Sixers121Hawks82a. Barracudasb. Sharksc. Sixersd. Hawks

Geometry - polygons in the coordinate plane multiple choice questions, math homework help

MUST CORRECTLY ANSWER THE MULTIPLE CHOICE QUESTIONS IN THE ATTACHED FILE. DOUBLE CHECK ANSWERS TO MAKE SURE THEY ARE ABSO ...

Geometry - polygons in the coordinate plane multiple choice questions, math homework help

MUST CORRECTLY ANSWER THE MULTIPLE CHOICE QUESTIONS IN THE ATTACHED FILE. DOUBLE CHECK ANSWERS TO MAKE SURE THEY ARE ABSOLUTELY CORRECT

JMHS Number Sequences & Series Recursive Formulas & Consecutive Integers Discussion

Hello, thanks in advance for the help.. The test have 20 questions I will upload some of the questions now and the rest in ...

JMHS Number Sequences & Series Recursive Formulas & Consecutive Integers Discussion

Hello, thanks in advance for the help.. The test have 20 questions I will upload some of the questions now and the rest in message.

MIS 445 Business Statistics Project

R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Link ...

MIS 445 Business Statistics Project

R is a free statistical software that is frequently and widely used. Go to R-Project for Statistical Computing (Links to an external site.)Links to an external site. to download the R software to your computer (follow the instructions provided in the attached R Installation Instructions sheet). The R Project website (Links to an external site.)Links to an external site. provides a brief introduction to R that you may also want to review. n this CT assignment, we will use R software to analyze a dataset GoogleAmazonStock.xlsx. It contains daily closing stock prices for Google and Amazon from 8/22/2017 to 8/22/2018. When we examine stock prices (or other financial assets) we often transform them into a (simple) return series. The return series are computed by the formula: (present price/past price) - 1. The dataset contains both stock prices and return series. 1. Using R, construct time series (line) plots for both stock prices and return series. R functions ts.plot or plot can create the plot. Describe the patterns and compare the plots. 2. Based on the return series, can we claim that the mean Amazon return series is higher than that of Google? a. What would be an appropriate test of the claim above? Explain. b. Write the null and alternative hypotheses. c. Using R, perform the test. d. Write the decision in the problem context. Take the screenshots of the R graphs and output as well as the code. Paste them into a Word document along with your answers to the questions above. Clearly label the questions and answers. Submit the Word file in Canvas.

4 pages

Mth 102 Milestone 3

The primary objective of this project will be to perform a few hypothesis tests, make inferences on the test statistics, a ...

Mth 102 Milestone 3

The primary objective of this project will be to perform a few hypothesis tests, make inferences on the test statistics, and state null/alternative ...