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(1) The following is a true statement about the F Distribution / F Test A. The F test is a hypothesis test used to compare

(1) The following is a true statement about the F Distribution / F Test

A. The "F" test is a hypothesis test used to compare the variances of samples or populations?

B. The "F" distribution is similar to a"Chi-Square" distribution as it has values that are nonnegative and the shape of the distribution is positively skewed

C. Critical values for the F distribution are identified by 3 parameters which are 1) degrees of freedom associated with the sample whose variance is in the numerator of the calculated F value 2) degrees of freedom associated with the sample whose variance is in the denominator of the calculated F value and 3) alpha () area under the distribution curve to the right of the critical value.

D. All of the above are true statements

E. None of the above are true statements

Which of the following is a correct interpretation of the null hypothesis for analysis of variance for one factor

There is no difference between the mean values of the random variable at the various levels of the test factor
The factors being tested had no effect on the random variable x
There is no variance among the mean values of x for each of the different factor levels
All of the above is true
None of the above is true

Match the appropriate term with the definition

A, B, C, D or E? The sum of squares that summarizes how the values differ from each within their treatment groups or within samples
A, B, C, D or E? The sum of squares that summarizes how the values differ from betweentreatmentgroups or samples
A, B, C, D or E? The value of SST divided by degrees df(treatment)
A, B, C, D or E? The value of SSE divided by df(error)
A, B, C, D or E? The ratio of MST divided by MSE
A. Sum of Squared Errors (SSE)
B. Sum of Squared Treatments (SST)
C. MST
D. MSE
E. Calculated F Value

When the calculated F value is greater than the critical F value, then

Fail to reject Ho and conclude the factor being tested does have an effect on the variable
Fail to reject Ho and conclude the factor being tested does not have an effect on the variable
Reject Ho and conclude the factor being tested does have an effect on the variable
Reject Ho and conclude the facto being tested does not have an effect on the variable

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