Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. 16,124 25,956 1427 7739 18,900 15,594 14,356 26,609 25,069 13,852 18,788 18,151 13,262 16,496 16,415 18,857 Male Female C a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, " is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? Ho: Pa ▼ word(s) H₁: Ha V word(s) (Type integers or decimals. Do not round.)
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. 16,124 25,956 1427 7739 18,900 15,594 14,356 26,609 25,069 13,852 18,788 18,151 13,262 16,496 16,415 18,857 Male Female C a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, " is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? Ho: Pa ▼ word(s) H₁: Ha V word(s) (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
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Question
Since the P-value is less than or equal to, or greater than the siginificance level, reject or warrent rejection of the null hypothesis. There is or is not suffcient evidence to support the claim that males speak fewer words in a day than females.
Since the confidence interval contains zero, only positive values, or only negative values | reject or fail to reject the null hypothesis.
![**Word Counts in Couples Study**
The table below presents the number of words spoken in a day by each member of eight different randomly selected couples. The focus is on comparing word usage between males and females. The data is as follows:
- **Male Word Count**: 16,124; 25,956; 1,427; 7,739; 18,900; 15,594; 14,356; 26,609
- **Female Word Count**: 25,069; 13,852; 18,788; 18,151; 13,262; 16,496; 16,415; 18,857
**Hypothesis Testing**
We will use a significance level of 0.01 to evaluate the claim that males speak fewer words in a day than females. Here, \(\mu_d\) represents the mean value of the differences, \(d\), for all pairs of data, where each individual difference, \(d\), is defined as:
\[ d = \text{words spoken by the male} - \text{words spoken by the female} \]
**Null and Alternative Hypotheses**
Let's define the null hypothesis, \(H_0\), and the alternative hypothesis, \(H_1\):
- \(H_0: \mu_d = 0\) (Males speak the same number of words as females)
- \(H_1: \mu_d < 0\) (Males speak fewer words than females)
Fill in the blanks with integers or decimals as necessary. Do not round the numbers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d06d15d-193a-4970-93e4-5cb074868941%2Fcfa8a583-810c-494d-bf42-5083605a52ad%2F1kf0r17_processed.png&w=3840&q=75)
Transcribed Image Text:**Word Counts in Couples Study**
The table below presents the number of words spoken in a day by each member of eight different randomly selected couples. The focus is on comparing word usage between males and females. The data is as follows:
- **Male Word Count**: 16,124; 25,956; 1,427; 7,739; 18,900; 15,594; 14,356; 26,609
- **Female Word Count**: 25,069; 13,852; 18,788; 18,151; 13,262; 16,496; 16,415; 18,857
**Hypothesis Testing**
We will use a significance level of 0.01 to evaluate the claim that males speak fewer words in a day than females. Here, \(\mu_d\) represents the mean value of the differences, \(d\), for all pairs of data, where each individual difference, \(d\), is defined as:
\[ d = \text{words spoken by the male} - \text{words spoken by the female} \]
**Null and Alternative Hypotheses**
Let's define the null hypothesis, \(H_0\), and the alternative hypothesis, \(H_1\):
- \(H_0: \mu_d = 0\) (Males speak the same number of words as females)
- \(H_1: \mu_d < 0\) (Males speak fewer words than females)
Fill in the blanks with integers or decimals as necessary. Do not round the numbers.
![Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
| | Male | Female |
|-------|--------|--------|
| Pair 1| 16,124 | 25,069 |
| Pair 2| 25,956 | 13,852 |
| Pair 3| 1,427 | 18,788 |
| Pair 4| 7,739 | 18,151 |
| Pair 5| 18,900 | 13,262 |
| Pair 6| 15,594 | 16,496 |
| Pair 7| 14,356 | 16,415 |
| Pair 8| 26,609 | 18,857 |
**a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females.**
In this example, \( \mu_d \) is the mean value of the differences \( d \) for the population of all pairs of data, where each individual difference \( d \) is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?
\[ H_0 : \mu_d = 0 \] word(s)
\[ H_1 : \mu_d < 0 \] word(s)
(Type integers or decimals. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d06d15d-193a-4970-93e4-5cb074868941%2Fcfa8a583-810c-494d-bf42-5083605a52ad%2Ffdvo6sl_processed.png&w=3840&q=75)
Transcribed Image Text:Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
| | Male | Female |
|-------|--------|--------|
| Pair 1| 16,124 | 25,069 |
| Pair 2| 25,956 | 13,852 |
| Pair 3| 1,427 | 18,788 |
| Pair 4| 7,739 | 18,151 |
| Pair 5| 18,900 | 13,262 |
| Pair 6| 15,594 | 16,496 |
| Pair 7| 14,356 | 16,415 |
| Pair 8| 26,609 | 18,857 |
**a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females.**
In this example, \( \mu_d \) is the mean value of the differences \( d \) for the population of all pairs of data, where each individual difference \( d \) is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?
\[ H_0 : \mu_d = 0 \] word(s)
\[ H_1 : \mu_d < 0 \] word(s)
(Type integers or decimals. Do not round.)
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