# Chapter 12 - T/F

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- Chapter 12 - T/F

**Created:**2013-04-22

**Last Modified:**2013-04-22

*F*distribution's curve is positively skewed.

*Student's t*.

*F*distribution for a F-statistic with 29 degrees of freedom in the numerator and 28 degrees of freedom in the denominator.

*F*distribution is that

*F*cannot be negative.

*F*distribution is that the computed

*F*can only range between -1 and +1.

*F*distribution is determined by the degrees of freedom for the

*F-*statistic, one for the numerator and one for the denominator.

*t*distribution, a change in the degrees of freedom causes a change in the shape of the F distribution.

*F*is 0.99 and the critical value is 3.89, we would not reject the null hypothesis.

_{1}= 10 and n

_{2}= 10, the F-test statistic is 2.56. At the 0.01 level of significance, we would reject the null hypothesis.

_{1}= 4 and n

_{2}= 4, the F-test statistic is 50.01. At the 0.01 level of significance, we would reject the null hypothesis.

_{1}= 7 and n

_{2}= 7, the F-test statistic is 2.56. At the 0.05 level of significance, we would reject the null hypothesis.

_{1}= 9 and n

_{2}= 9, the F-test statistic is 4.53. At the 0.05 level of significance, we would reject the null hypothesis.

*k*represents the total number of sample observations and

*n*represents the total number of treatments.

*.*

*F*is 4.01 and the critical value is 2.67, we would conclude that all the population means are equal.

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