Brianna and Miranda began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Brianna took a test in Art History and earned a 78.3, and Miranda took a test in Social Studies and earned a 61.2. Use the fact that all the students' test grades in the Art History class had a mean of 71.3 and a standard deviation of 11.7, and all the students' test grades in Social Studies had a mean of 62.3 and a standard deviation of 8.2 to answer the following questions. a) Calculate the z-score for Brianna's test grade. [Round your answer to two decimal places.] b) Calculate the z-score for Miranda's test grade. 2 = [Round your answer to two decimal places.] c) Which person did relatively better? Brianna Miranda They did equally well.

Brianna and Miranda began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Brianna took a test in Art History and earned a 78.3, and Miranda took a test in Social Studies and earned a 61.2. Use the fact that all the students' test grades in the Art History class had a mean of 71.3 and a standard deviation of 11.7, and all the students' test grades in Social Studies had a mean of 62.3 and a standard deviation of 8.2 to answer the following questions. a) Calculate the z-score for Brianna's test grade. [Round your answer to two decimal places.] b) Calculate the z-score for Miranda's test grade. 2 = [Round your answer to two decimal places.] c) Which person did relatively better? Brianna Miranda They did equally well.

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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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

Brianna and Miranda began arguing about who did better on their tests, but they couldn't decide who did
better given that they took different tests. Brianna took a test in Art History and earned a 78.3, and Miranda
took a test in Social Studies and earned a 61.2. Use the fact that all the students' test grades in the Art History
class had a mean of 71.3 and a standard deviation of 11.7, and all the students' test grades in Social Studies
had a mean of 62.3 and a standard deviation of 8.2 to answer the following questions.
a) Calculate the z-score for Brianna's test grade.
[Round your answer to two decimal places.]
= 2
b) Calculate the z-score for Miranda's test grade.
[Round your answer to two decimal places.]
c) Which person did relatively better?
Brianna
O Miranda
They did equally well.
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