imple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n=10, x=62.4 words, s = 15.2 words. Given at this dictionary has 1490 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is eater than 47.0 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 47.0 words. What does the result suggest about the claim at there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume at the population is normally distributed. 2 What are the null and alternative hypotheses? A Ho: p=47.0 words OB. Ho: 47.0 words H₁:47.0 words H₁: <47.0 words OC. Ho: 47.0 words OD. Ho: p=47.0 words H₁: 47.0 words H₁: <47.0 words Determine the test statistic. (Round to two decimal places as needed.) Incorrect: 0
imple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n=10, x=62.4 words, s = 15.2 words. Given at this dictionary has 1490 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is eater than 47.0 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 47.0 words. What does the result suggest about the claim at there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume at the population is normally distributed. 2 What are the null and alternative hypotheses? A Ho: p=47.0 words OB. Ho: 47.0 words H₁:47.0 words H₁: <47.0 words OC. Ho: 47.0 words OD. Ho: p=47.0 words H₁: 47.0 words H₁: <47.0 words Determine the test statistic. (Round to two decimal places as needed.) Incorrect: 0
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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Determine test statistic and determine p -value
Transcribed Image Text:### Statistical Hypothesis Testing Example
A simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results \( n = 10 \), \( \bar{x} = 62.4 \) words, \( s = 15.2 \) words. Given that this dictionary has 1490 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 47.0 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 47.0 words. What does the result suggest about the claim that there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, \( P \)-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.
#### What are the null and alternative hypotheses?
- **A.** \( H_0: \mu = 47.0 \) words
\( H_1: \mu > 47.0 \) words
- **B.** \( H_0: \mu > 47.0 \) words
\( H_1: \mu = 47.0 \) words
- **C.** \( H_0: \mu = 47.0 \) words
\( H_1: \mu < 47.0 \) words
- **D.** \( H_0: \mu = 47.0 \) words
\( H_1: \mu \neq 47.0 \) words
#### Determine the test statistic.
(Round to two decimal places as needed.)
---
### Understanding the Hypotheses and Test Statistic
Given the information from the sample, the goal is to test whether the mean number of words defined per page in the entire dictionary is greater than 47.0 words.
- **Null Hypothesis (\( H_0 \))**: The mean number of words per page, \( \mu \), is equal to 47.0.
\( H_0: \mu = 47.0 \)
- **Alternative Hypothesis (\( H_1 \))**: The mean number of words per page, \( \mu \),
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