To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.025 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. E Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all that apply. VA. The sample size is no more than 5% of the population size. YB. The differences are normally distributed or the sample size is large. O C. The sample size must be large. Table of height data YD. The sampling method results in a dependent sample. O E. The sampling method results in an independent sample. Height of Father, X Height of o Son, Y Let d, = X, - Y,. Write the hypotheses for the test. 68.9 73.8 76.8 70.4 Họ: Hg =0 73.3 67.9 H;: Ha <0 69.1 71.0 69.1 70.3 Calculate the test statistic. 66.9 67.5 70.9 70.8 to = (Round to two decimal places as needed.) 69.5 71.6 69.7 68.9 70.5 68.0 72.9 70.3 67.6 72.3 64.1 67.4
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.025 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. E Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all that apply. VA. The sample size is no more than 5% of the population size. YB. The differences are normally distributed or the sample size is large. O C. The sample size must be large. Table of height data YD. The sampling method results in a dependent sample. O E. The sampling method results in an independent sample. Height of Father, X Height of o Son, Y Let d, = X, - Y,. Write the hypotheses for the test. 68.9 73.8 76.8 70.4 Họ: Hg =0 73.3 67.9 H;: Ha <0 69.1 71.0 69.1 70.3 Calculate the test statistic. 66.9 67.5 70.9 70.8 to = (Round to two decimal places as needed.) 69.5 71.6 69.7 68.9 70.5 68.0 72.9 70.3 67.6 72.3 64.1 67.4
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![**Title: Analyzing Height Differences Between Fathers and Sons**
Description:
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. The analysis is performed at a significance level of \( \alpha = 0.025 \). It is noted that a normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
**Data Table: Height Comparison**
- **Height of Father (\(X_i\))** | **Height of Son (\(Y_i\))**
- 68.9 | 73.8
- 73.3 | 76.8
- 67.9 | 70.4
- 69.1 | 71.0
- 69.1 | 70.3
- 66.9 | 67.5
- 70.9 | 70.8
- 69.5 | 68.9
- 71.6 | 70.5
- 69.7 | 68.0
- 72.9 | 70.3
- 67.6 | 64.1
- 72.3 | 67.4
**Conditions for the Test:**
Which conditions must be met by the sample for this test? Select all that apply:
- [✔️] A. The sample size is no more than 5% of the population size.
- [✔️] B. The differences are normally distributed or the sample size is large.
- [ ] C. The sample size must be large.
- [✔️] D. The sampling method results in a dependent sample.
- [ ] E. The sampling method results in an independent sample.
**Hypotheses:**
Let \( d_i = X_i - Y_i \). The hypotheses for the test are:
- \( H_0: \mu_d = 0 \)
- \( H_1: \mu_d < 0 \)
**Instructions:**
Calculate the test statistic:
\[ t_0 = \, \underline{\hspace{2cm}} \, \text{(Round to two decimal places as needed.)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc22cf0a8-395c-49f5-90ff-793ddbeecc12%2F5cebe235-cddb-4936-a6b5-53561d760806%2Fj3z5kvf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Analyzing Height Differences Between Fathers and Sons**
Description:
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. The analysis is performed at a significance level of \( \alpha = 0.025 \). It is noted that a normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
**Data Table: Height Comparison**
- **Height of Father (\(X_i\))** | **Height of Son (\(Y_i\))**
- 68.9 | 73.8
- 73.3 | 76.8
- 67.9 | 70.4
- 69.1 | 71.0
- 69.1 | 70.3
- 66.9 | 67.5
- 70.9 | 70.8
- 69.5 | 68.9
- 71.6 | 70.5
- 69.7 | 68.0
- 72.9 | 70.3
- 67.6 | 64.1
- 72.3 | 67.4
**Conditions for the Test:**
Which conditions must be met by the sample for this test? Select all that apply:
- [✔️] A. The sample size is no more than 5% of the population size.
- [✔️] B. The differences are normally distributed or the sample size is large.
- [ ] C. The sample size must be large.
- [✔️] D. The sampling method results in a dependent sample.
- [ ] E. The sampling method results in an independent sample.
**Hypotheses:**
Let \( d_i = X_i - Y_i \). The hypotheses for the test are:
- \( H_0: \mu_d = 0 \)
- \( H_1: \mu_d < 0 \)
**Instructions:**
Calculate the test statistic:
\[ t_0 = \, \underline{\hspace{2cm}} \, \text{(Round to two decimal places as needed.)} \]
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