Chapter 13: Q.29 (page 765)
What are the Sum of Squares and Mean Squares Errors?
Short Answer
The sum of square of Errors is and mean square Errors is .
Chapter 13: Q.29 (page 765)
What are the Sum of Squares and Mean Squares Errors?
The sum of square of Errors is and mean square Errors is .
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Get started for free60. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.
Northeast | South | West | Central | East | |
16.3 | 16.9 | 16.4 | 16.2 | 17.1 | |
16.1 | 16.5 | 16.5 | 16.6 | 17.2 | |
16.4 | 16.4 | 16.6 | 16.5 | 16.6 | |
16.5 | 16.2 | 16.1 | 16.4 | 16.8 | |
------------------- | ------------------- | ------------------- | ------------------- | ------------------- | |
------------------- | ------------------- | ------------------- | ------------------- | ------------------- |
State the hypotheses.
13.2 The F Distribution and the F-Ratio
Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.
Northeast | South | West | Central | East | |
16.3 | 16.9 | 16.4 | 16.2 | 17.1 | |
16.1 | 16.5 | 16.5 | 16.6 | 17.2 | |
16.4 | 16.4 | 16.6 | 16.5 | 16.6 | |
16.5 | 16.2 | 16.1 | 16.4 | 16.8 | |
-------------------- | -------------------- | ------------------- | ------------------- | ----------------- | |
-------------------- | -------------------- | ------------------- | ------------------- | ----------------- |
: At least any two of the group means are not equal.
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat’s weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again and the net gain in grams is recorded.
Linda's rats | Tuan's rats | Javier's rats |
Determine whether or not the variance in weight gain is statistically the same among Javier’s and Linda’s rats. Test at a significance level of
There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?
Write a third assumption
Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for commutes. The first worker’s times have a variance of . These coworkers' times have a variance of . The first worker thinks that he is more consistent with his commute times. Test the claim at the % level. Assume that commute times are normally distributed. Is the claim accurate?
There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?
Write a fourth assumption.
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