**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…

Math

Statistics

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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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