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Homework 9: §10.2-10.7 Complete the following to the best of your ability. You may use a calculator, and Tables from the textbook. 1. A mage is trying to decide which kind of spell to specialise in for her upcoming adventure. She looks at a survey done by her fellow mages on the kind of damage per second that they're doing against monsters to compare Frost spells against Arcane spells, and gathers the following data: sample size ni = 250 mean x = 3.61 standand deviation Frost %3D S1 = 1.3 %3D Arcane n2 = 238 j = 3.26 %3D S2 = 1.1 Using a = .05, is there sufficient statistical evidence that frost mages do more damage per second than %3D arcane mages?

Homework 9: §10.2-10.7 Complete the following to the best of your ability. You may use a calculator, and Tables from the textbook. 1. A mage is trying to decide which kind of spell to specialise in for her upcoming adventure. She looks at a survey done by her fellow mages on the kind of damage per second that they're doing against monsters to compare Frost spells against Arcane spells, and gathers the following data: sample size ni = 250 mean x = 3.61 standand deviation Frost %3D S1 = 1.3 %3D Arcane n2 = 238 j = 3.26 %3D S2 = 1.1 Using a = .05, is there sufficient statistical evidence that frost mages do more damage per second than %3D arcane mages?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Educational Website Transcription** **Math 8** **Homework 9: §10.2-10.7** Complete the following to the best of your ability. You may use a calculator and Tables from the textbook. 1. A mage is trying to decide which kind of spell to specialize in for her upcoming adventure. She looks at a survey done by her fellow mages on the kind of damage per second that they're doing against monsters to compare Frost spells against Arcane spells, and gathers the following data: - **Frost** - Sample Size: \( n_1 = 250 \) - Mean Damage: \( \bar{x} = 3.61 \) - Standard Deviation: \( s_1 = 1.3 \) - **Arcane** - Sample Size: \( n_2 = 238 \) - Mean Damage: \( \bar{y} = 3.26 \) - Standard Deviation: \( s_2 = 1.1 \) Using \( \alpha = 0.05 \), is there sufficient statistical evidence that frost mages do more damage per second than arcane mages? --- As part of a larger study, participants were asked to drink a 12-ounce glass of lager. Some of them had straight-sided glasses, others had curved glasses. The data collected on how long it took them to finish the drinks is as follows: - **Straight** - Sample Size: \( n_1 = 16 \) - Mean Time: \( \bar{x} = 11.30 \) - Standard Deviation: \( s_1 = 4.43 \) - **Curved** - Sample Size: \( n_2 = 15 \) - Mean Time: \( \bar{y} = 7.12 \) - Standard Deviation: \( s_2 = 4.78 \) --- This exercise is designed to help students practice statistical hypothesis testing using survey data. Students are encouraged to determine if there is a significant difference in damage output or drinking time using the given data points and statistical methods.
Transcribed Image Text:**Educational Website Transcription** **Math 8** **Homework 9: §10.2-10.7** Complete the following to the best of your ability. You may use a calculator and Tables from the textbook. 1. A mage is trying to decide which kind of spell to specialize in for her upcoming adventure. She looks at a survey done by her fellow mages on the kind of damage per second that they're doing against monsters to compare Frost spells against Arcane spells, and gathers the following data: - **Frost** - Sample Size: \( n_1 = 250 \) - Mean Damage: \( \bar{x} = 3.61 \) - Standard Deviation: \( s_1 = 1.3 \) - **Arcane** - Sample Size: \( n_2 = 238 \) - Mean Damage: \( \bar{y} = 3.26 \) - Standard Deviation: \( s_2 = 1.1 \) Using \( \alpha = 0.05 \), is there sufficient statistical evidence that frost mages do more damage per second than arcane mages? --- As part of a larger study, participants were asked to drink a 12-ounce glass of lager. Some of them had straight-sided glasses, others had curved glasses. The data collected on how long it took them to finish the drinks is as follows: - **Straight** - Sample Size: \( n_1 = 16 \) - Mean Time: \( \bar{x} = 11.30 \) - Standard Deviation: \( s_1 = 4.43 \) - **Curved** - Sample Size: \( n_2 = 15 \) - Mean Time: \( \bar{y} = 7.12 \) - Standard Deviation: \( s_2 = 4.78 \) --- This exercise is designed to help students practice statistical hypothesis testing using survey data. Students are encouraged to determine if there is a significant difference in damage output or drinking time using the given data points and statistical methods.
Expert Solution
Step 1

Given:

The descriptive statistics is given below

  Sample size Sample mean Sample standard deviation
Frost n1 = 250 x¯=3.61

s1 = 1.3
Arcane n2 = 238 y¯=3.26 s2 = 1.1

α=0.05

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