the & = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer = c. The test statistic ? ✪ ↑ <> (please show your answer to 3 decimal places.)
the & = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer = c. The test statistic ? ✪ ↑ <> (please show your answer to 3 decimal places.)
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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Question
![### Alcohol Consumption Study Among College Students
The average American consumes 93 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 100.5 liters of alcohol consumed per year with a standard deviation of 22 liters. What can be concluded at the α = 0.10 level of significance?
#### a. For this study, we should use:
- **[Select an answer]**
#### b. The null and alternative hypotheses would be:
- \( H_0 \): **[Select an answer]**
- \( H_1 \): **[Select an answer]**
#### c. The test statistic \( t \) is:
- \( t \) = **[_____]** (please show your answer to 3 decimal places.)
#### d. The p-value is:
- \( p \)-value = **[_____]** (Please show your answer to 4 decimal places.)
#### e. The \( p \)-value is:
- \( [Select an answer] \) \( \alpha \)
#### f. Based on this, we should:
- **[Select an answer]** the null hypothesis.
#### g. Thus, the final conclusion is that:
- **[Select an option from below]**
```
☐ The data suggest the population mean is significantly more than 93 at α = 0.10, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year.
☐ The data suggest the population mean is not significantly more than 93 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 93 liters per year.
☐ The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 93 liters per year at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year.
```
### Explanation:
In this study, a hypothesis test is conducted to compare the average alcohol consumption of college students to the national average of 93 liters. The steps outlined above guide through the formulation of hypotheses, calculation of test statistics, evaluation of p-values, and drawing](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1a73d04-4829-40e4-8e78-0a30aa84e71e%2F54781494-e22a-4bf2-9ce5-0847cfd5864e%2Fimez1aq_processed.png&w=3840&q=75)
Transcribed Image Text:### Alcohol Consumption Study Among College Students
The average American consumes 93 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 100.5 liters of alcohol consumed per year with a standard deviation of 22 liters. What can be concluded at the α = 0.10 level of significance?
#### a. For this study, we should use:
- **[Select an answer]**
#### b. The null and alternative hypotheses would be:
- \( H_0 \): **[Select an answer]**
- \( H_1 \): **[Select an answer]**
#### c. The test statistic \( t \) is:
- \( t \) = **[_____]** (please show your answer to 3 decimal places.)
#### d. The p-value is:
- \( p \)-value = **[_____]** (Please show your answer to 4 decimal places.)
#### e. The \( p \)-value is:
- \( [Select an answer] \) \( \alpha \)
#### f. Based on this, we should:
- **[Select an answer]** the null hypothesis.
#### g. Thus, the final conclusion is that:
- **[Select an option from below]**
```
☐ The data suggest the population mean is significantly more than 93 at α = 0.10, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year.
☐ The data suggest the population mean is not significantly more than 93 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 93 liters per year.
☐ The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 93 liters per year at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 93 liters per year.
```
### Explanation:
In this study, a hypothesis test is conducted to compare the average alcohol consumption of college students to the national average of 93 liters. The steps outlined above guide through the formulation of hypotheses, calculation of test statistics, evaluation of p-values, and drawing
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