**Title: Analyzing Takeout Frequency by Ethnicity Using ANOVA**A researcher hypothesizes that the number of times a family gets takeout for dinner every month is not different by race/ethnicity. Suppose that the following data shows the results of her survey:**Table: Number of Times Families Get Takeout per Month by Ethnicity**| | White | Black | Hispanic | Asian ||----------|-------|-------|----------|-------|| **Family 1** | 16 | 12 | 8 | 8 || **Family 2** | 12 | 4 | 8 | 8 || **Family 3** | 12 | 12 | 12 | 12 || **Family 4** | 10 | 16 | 12 | 4 || **Family 5** | 16 | 16 | 8 | 8 |Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.10. (HINT: Run an ANOVA: Single Factor)1. The alternative hypothesis (Ha) would be "At least one of the race/ethnicities has a different mean for their takeout per month habits." (Write "True" or "False" in the blank): ____________________2. What is the value of the F-statistic that you obtained using the data? _____________________ (Round to three decimal places).3. What is the value of the critical F for this table? _____________________ (Round to three decimal places).4. What is your final decision? (Write "Reject Ho" or "Fail to reject Ho" in the blank): ____________________---**Explanation:**In this exercise, we are looking to see whether the frequency of takeout dinners differs significantly by race/ethnicity using an ANOVA test. The given data shows the number of times five families from different ethnic backgrounds order takeout each month. By performing an ANOVA test, we can determine if there is a statistically significant difference in means across these groups.**Steps to Perform ANOVA:**- Calculate the mean number of takeouts for each ethnicity.- Compute the overall mean.- Calculate the Sum of Squares Between Groups (SSB) and

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Description: **Title: Analyzing Takeout Frequency by Ethnicity Using ANOVA**A researcher hypothesizes that the number of times a family gets takeout for dinner every month is not different by race/ethnicity. Suppose that the following data shows the results of h

a) True, alternate hypothesis is that at least one of the ethnicities has a different mean for their…

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a. The alternative hypothesis (Ha) would be "At least one of the race/ethnicities has a different mean for their takeout per month habits." (Write "True" or "False" in the blank): o. What is the value of the F-statistic that you obtained using the data? (Round to three decimal places). c. What is the value of critical F for this table? (Round to three decimal places). d. What is your final decision? (Write "Reject Ho" or "Fail to reject Ho" in the blank):

a. The alternative hypothesis (Ha) would be "At least one of the race/ethnicities has a different mean for their takeout per month habits." (Write "True" or "False" in the blank): o. What is the value of the F-statistic that you obtained using the data? (Round to three decimal places). c. What is the value of critical F for this table? (Round to three decimal places). d. What is your final decision? (Write "Reject Ho" or "Fail to reject Ho" in the blank):

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

**Title: Analyzing Takeout Frequency by Ethnicity Using ANOVA**

A researcher hypothesizes that the number of times a family gets takeout for dinner every month is not different by race/ethnicity. Suppose that the following data shows the results of her survey:

**Table: Number of Times Families Get Takeout per Month by Ethnicity**
| | White | Black | Hispanic | Asian |
|----------|-------|-------|----------|-------|
| **Family 1** | 16 | 12 | 8 | 8 |
| **Family 2** | 12 | 4 | 8 | 8 |
| **Family 3** | 12 | 12 | 12 | 12 |
| **Family 4** | 10 | 16 | 12 | 4 |
| **Family 5** | 16 | 16 | 8 | 8 |

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.10. (HINT: Run an ANOVA: Single Factor)

1. The alternative hypothesis (Ha) would be "At least one of the race/ethnicities has a different mean for their takeout per month habits." (Write "True" or "False" in the blank): ____________________

2. What is the value of the F-statistic that you obtained using the data? _____________________ (Round to three decimal places).

3. What is the value of the critical F for this table? _____________________ (Round to three decimal places).

4. What is your final decision? (Write "Reject Ho" or "Fail to reject Ho" in the blank): ____________________

---

**Explanation:**

In this exercise, we are looking to see whether the frequency of takeout dinners differs significantly by race/ethnicity using an ANOVA test. The given data shows the number of times five families from different ethnic backgrounds order takeout each month. By performing an ANOVA test, we can determine if there is a statistically significant difference in means across these groups.

**Steps to Perform ANOVA:**
- Calculate the mean number of takeouts for each ethnicity.
- Compute the overall mean.
- Calculate the Sum of Squares Between Groups (SSB) and

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