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?
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**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 |
s1 = 1.3 |
|
| Arcane | n2 = 238 | s2 = 1.1 |
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