A simple random sample of size n=15 is drawn from a population that is normally distributed. The sample mean is found to be x = 16.2 and the sample standard deviation is found be s=5.8. Determine if the population mean is different from 22 at the a=0.10 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. (a) Determine the null and alternative hypotheses. Ho ▼ ▼ H₁: ▼ Y 4 (Type integers or decimals. Do not round)
A simple random sample of size n=15 is drawn from a population that is normally distributed. The sample mean is found to be x = 16.2 and the sample standard deviation is found be s=5.8. Determine if the population mean is different from 22 at the a=0.10 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. (a) Determine the null and alternative hypotheses. Ho ▼ ▼ H₁: ▼ Y 4 (Type integers or decimals. Do not round)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

- [Standard Normal Distribution Table (page 2)](URL)
- [Table of Critical t-values](URL)
#### (a) Determine the null and alternative hypotheses.
\[ H_0: \mu \quad\text{(fill in hypothesized mean)} \]
\[ H_1: \mu \quad\text{(fill in expected alternative)} \]
(Type integers or decimals. Do not round.)
[Input boxes for hypothesis values]
---
**Additional Help:**
- [Help me solve this](URL)
- [View an example](URL)
- [Get more help](URL)
### Diagram Description:
In the image provided, there is no physical diagram or graph to describe. The content predominantly focuses on hypothesis testing related to a problem involving sample size, sample mean, and sample standard deviation, and whether the population mean differs from a given value at a specified significance level.
### Interface Explanation:
- There are links provided to standard normal distribution tables and t-value tables.
- The interface includes options to get help, view examples, and solve similar problems.
- There is an area to input the null ( \( H_0 \) ) and alternative ( \( H_1 \) ) hypotheses.
### User Interaction:
Users are prompted to fill in the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_1 \)) using integer or decimal values, ensuring they do not round the numbers. After inputting the values, users can click on "Check answer" to receive feedback.
This is an educational tool aimed at helping students understand hypothesis testing by engaging them with interactive elements and providing resources for additional support.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfee5922-5e9b-4d5c-bb5d-6eee324be123%2Fa7fe05f0-22d3-4e71-bc0f-ce87277fc722%2F89w12t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing Example
**Problem Statement:**
A simple random sample of size \( n = 15 \) is drawn from a population that is normally distributed. The sample mean is found to be \( \bar{x} = 16.2 \) and the sample standard deviation is found to be \( s = 5.8 \). Determine if the population mean is different from 22 at the \( \alpha = 0.10 \) level of significance. Complete parts (a) through (d) below.
**Resources Provided:**
- [Standard Normal Distribution Table (page 1)](URL)
- [Standard Normal Distribution Table (page 2)](URL)
- [Table of Critical t-values](URL)
#### (a) Determine the null and alternative hypotheses.
\[ H_0: \mu \quad\text{(fill in hypothesized mean)} \]
\[ H_1: \mu \quad\text{(fill in expected alternative)} \]
(Type integers or decimals. Do not round.)
[Input boxes for hypothesis values]
---
**Additional Help:**
- [Help me solve this](URL)
- [View an example](URL)
- [Get more help](URL)
### Diagram Description:
In the image provided, there is no physical diagram or graph to describe. The content predominantly focuses on hypothesis testing related to a problem involving sample size, sample mean, and sample standard deviation, and whether the population mean differs from a given value at a specified significance level.
### Interface Explanation:
- There are links provided to standard normal distribution tables and t-value tables.
- The interface includes options to get help, view examples, and solve similar problems.
- There is an area to input the null ( \( H_0 \) ) and alternative ( \( H_1 \) ) hypotheses.
### User Interaction:
Users are prompted to fill in the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_1 \)) using integer or decimal values, ensuring they do not round the numbers. After inputting the values, users can click on "Check answer" to receive feedback.
This is an educational tool aimed at helping students understand hypothesis testing by engaging them with interactive elements and providing resources for additional support.
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