Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 33.5. A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Open sareadsheet Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013? Test this hypothesis at a 0.05. What is your conclusion? Use the obtained rounded values in your calculations. years (to 2 decimals) years (to 4 decimals) Sample meant Sample standard deviation: t-value: (to 3 decimals) P-value (Upper Tail): (to 3 decimals) Because p-value >✔✔✔a-0.05, we fail to reject ✔ Ha. There is insufficient evidence to conclude that the mean age at which British men get married exceeds what it was in 2013.
Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 33.5. A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Open sareadsheet Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013? Test this hypothesis at a 0.05. What is your conclusion? Use the obtained rounded values in your calculations. years (to 2 decimals) years (to 4 decimals) Sample meant Sample standard deviation: t-value: (to 3 decimals) P-value (Upper Tail): (to 3 decimals) Because p-value >✔✔✔a-0.05, we fail to reject ✔ Ha. There is insufficient evidence to conclude that the mean age at which British men get married exceeds what it was in 2013.
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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![**Data Analysis Example**
**Data Set: Ages**
- The dataset consists of ages listed in column A ranging from rows 1 to 48. There are 47 data points or entries recorded.
**Statistical Details:**
- **Sample Size:** 47
- **Sample Mean:** [To be calculated]
- **Sample Standard Deviation:** [To be calculated]
- **Hypothesized Mean:** 33.5
- **Test Statistic:** [To be calculated]
- **Degrees of Freedom:** [To be calculated]
**Hypothesis Testing:**
- **p-value (Lower Tail):** [To be calculated]
- **p-value (Upper Tail):** [To be calculated]
- **p-value (Two Tail):** [To be calculated]
- **Level of Significance (alpha):** 0.05
- **Reject Null Hypothesis?:** [To be determined based on calculations]
**Notes:**
- The formulas for each calculation are in column F but currently display #N/A, indicating that the calculations have not been completed or there is an error in cell reference.
**Instructions for Completion:**
1. Calculate the sample mean from the data range A1:A48.
2. Determine the sample standard deviation.
3. Calculate the test statistic based on the sample data and hypothesized mean.
4. Use the appropriate statistical tests to find the p-values.
5. Decide whether to reject the null hypothesis based on the p-values and level of significance.
This example outlines the process for conducting hypothesis testing using sample data. Calculations need to be completed to draw conclusions from the data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cd4311d-bf6d-4b26-8084-8834996ff771%2Ffd0ea9b8-702f-490e-903e-4fbaa5d6b4dd%2Fs5582b8_processed.png&w=3840&q=75)
Transcribed Image Text:**Data Analysis Example**
**Data Set: Ages**
- The dataset consists of ages listed in column A ranging from rows 1 to 48. There are 47 data points or entries recorded.
**Statistical Details:**
- **Sample Size:** 47
- **Sample Mean:** [To be calculated]
- **Sample Standard Deviation:** [To be calculated]
- **Hypothesized Mean:** 33.5
- **Test Statistic:** [To be calculated]
- **Degrees of Freedom:** [To be calculated]
**Hypothesis Testing:**
- **p-value (Lower Tail):** [To be calculated]
- **p-value (Upper Tail):** [To be calculated]
- **p-value (Two Tail):** [To be calculated]
- **Level of Significance (alpha):** 0.05
- **Reject Null Hypothesis?:** [To be determined based on calculations]
**Notes:**
- The formulas for each calculation are in column F but currently display #N/A, indicating that the calculations have not been completed or there is an error in cell reference.
**Instructions for Completion:**
1. Calculate the sample mean from the data range A1:A48.
2. Determine the sample standard deviation.
3. Calculate the test statistic based on the sample data and hypothesized mean.
4. Use the appropriate statistical tests to find the p-values.
5. Decide whether to reject the null hypothesis based on the p-values and level of significance.
This example outlines the process for conducting hypothesis testing using sample data. Calculations need to be completed to draw conclusions from the data.
![Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 33.5. A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the Excel Online file below.
[Excel icon] Open spreadsheet
Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013? Test this hypothesis at \( \alpha = 0.05 \). What is your conclusion? Use the obtained rounded values in your calculations.
- Sample mean: [_______] years (to 2 decimals)
- Sample standard deviation: [_______] years (to 2 decimals)
- t-value: [_______] (to 3 decimals)
- p-value (Upper Tail): [_______] (to 3 decimals)
Because p-value \(\geq \alpha = 0.05\), we fail to reject \(H_0\). There is insufficient evidence to conclude that the mean age at which British men get married exceeds what it was in 2013.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cd4311d-bf6d-4b26-8084-8834996ff771%2Ffd0ea9b8-702f-490e-903e-4fbaa5d6b4dd%2Fn2sml5_processed.png&w=3840&q=75)
Transcribed Image Text:Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 33.5. A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the Excel Online file below.
[Excel icon] Open spreadsheet
Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013? Test this hypothesis at \( \alpha = 0.05 \). What is your conclusion? Use the obtained rounded values in your calculations.
- Sample mean: [_______] years (to 2 decimals)
- Sample standard deviation: [_______] years (to 2 decimals)
- t-value: [_______] (to 3 decimals)
- p-value (Upper Tail): [_______] (to 3 decimals)
Because p-value \(\geq \alpha = 0.05\), we fail to reject \(H_0\). There is insufficient evidence to conclude that the mean age at which British men get married exceeds what it was in 2013.
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