First part Conduct an investigation considering the following concepts: *** You MUST include numerical examples with your formulas and hypotheses for a better understanding of the definitions. ANOVA...

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First part Conduct an investigation considering the following concepts: *** You MUST include numerical examples with your formulas and hypotheses for a better understanding of the definitions. ANOVA Distribution F Test statistic F Total variation Treatment variation Random variation Guiding questions to answer in writing: What is the critical value F of a sample of six observations in the numerator and four in the denominator? Use a two-tailed test and the 0.10 level of significance. What is the critical value F of a sample of four observations in the numerator and seven in the denominator? Use a one-tailed test and the 0.01 level of significance. Explain the steps to follow to perform ANOVA. Second part Answer all the questions provided about the concepts from Module # 6: Analysis of Variance (ANOVA) ***Present your answers with the aspects on analysis of variance (ANOVA). 1. Arbitron Media Research, Inc., conducts a study on the iPod listening habits of men and women. One part of the study included mean listening time. The mean listening time for men was found to be 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10 minutes per day. The mean listening time of the 12 women studied was also 35 minutes, but the sample standard deviation was 12 minutes. At a significance level of 0.10, can you conclude that there is a difference between the variations in the listening times of men and women? 2. The manager of a software package company wants to study the number of hours that managers of various companies use their computers. The manager selected a sample of five executives from each of three industries. At the 0.05 level of significance, can the manager conclude that there is a difference between the average hours per week that computers are used in the industry? BANKING DETAILER INSURANCE 12 8 10 10 8 8 10 6 6 12 8 8 10 10 10 First part Conduct an investigation considering the following concepts: *** You MUST include numerical examples with your formulas and hypotheses for a better understanding of the definitions. ANOVA Distribution F Test statistic F Total variation Treatment variation Random variation Guiding questions to answer in writing: What is the critical value F of a sample of six observations in the numerator and four in the denominator? Use a two-tailed test and the 0.10 level of significance. What is the critical value F of a sample of four observations in the numerator and seven in the denominator? Use a one-tailed test and the 0.01 level of significance. Explain the steps to follow to perform ANOVA. Second part Answer all the questions provided about the concepts from Module # 6: Analysis of Variance (ANOVA) ***Present your answers with the aspects on analysis of variance (ANOVA). 1. Arbitron Media Research, Inc., conducts a study on the iPod listening habits of men and women. One part of the study included mean listening time. The mean listening time for men was found to be 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10 minutes per day. The mean listening time of the 12 women studied was also 35 minutes, but the sample standard deviation was 12 minutes. At a significance level of 0.10, can you conclude that there is a difference between the variations in the listening times of men and women? 2. The manager of a software package company wants to study the number of hours that managers of various companies use their computers. The manager selected a sample of five executives from each of three industries. At the 0.05 level of significance, can the manager conclude that there is a difference between the average hours per week that computers are used in the industry? BANKING DETAILER INSURANCE 12 8 10 10 8 8 10 6 6 12 8 8 10 10
Answered Same DayOct 06, 2021

Answer To: First part Conduct an investigation considering the following concepts: *** You MUST include...

Suraj answered on Oct 06 2021
138 Votes
ANOVA distribution F: The ANOVA distribution F is the ratio of the Mean square of the groups to the Mean square error. The degrees of freedom of F distribution is number of groups – 1 and Total – number of groups.
Thus, it follows F distribution with degree of freedom.
Test statistic F: It is defined as the ratio of mean square of groups and mean square error.
Test statistic
Total variation: It is defined as the total sum of square. The formula for it is given as follows:
Total sum of square =
Treatment variation: It is defined as Sum of square due to treatments. It is given as follows:
Sum of square due to treatments =
Random variation: Random variation is also called the variation due to error. It is given as follows:
Random variation = Total Sum of square – Sum of square due to treatments
The critical value is calculated by taking degree of freedom of numerator and degree of freedom of denominator. Hence, degree of freedom nominator = 6 – 1 = 5
Degreed of freedom denominator...
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