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Use Tables V, VI, VII, and VIII in Appendix D to find each of the following F-values

  1. \({F_{.05}}\;where\;{v_1} = 9\;and\,{v_2} = 6\)

Short Answer

Expert verified
  1. The F-value is 4.10.

Step by step solution

01

Given Information

Degrees of freedom are

\(\begin{aligned}{v_1} &= {n_1} - 1\\ &= 9\\and\\{v_2} &= {n_2} - 1\\ &= 6\end{aligned}\)

02

Critical value

The probability distribution of a test and its level of significance are used to calculate a critical value. In order to define the confidence interval's boundaries, critical values are used.

03

F-values

\({F_{0.05}}\left( {9,6} \right) = 4.10\)

Therefore, the F-value is 4.10.

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Assume that ฯƒ12=ฯƒ22=ฯƒ2. Calculate the pooled estimator ฯƒ2 for each of the following cases:

a.s12=120,s22=100,n1=n2=25

b.s12=12,s22=20,n1=20,n2=10

c.s12=.15,s22=.20,n1=6,n2=10

d.s12=3000,s22=2500,n1=16,n2=17

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Let t0 be a particular value of t. Use Table III in Appendix D to find t0 values such that the following statements are true.

a.=P(-t0<t<t0).95wheredf=10b.P(tโ‰ค-t0ortโ‰ฅt0)wheredf=10c.P(tโ‰คt0)=.05wheredf=10d.P(tโ‰ค-t0ortโ‰ฅt0)=.10wheredf=20e.P(tโ‰ค-t0ortโ‰ฅt0)=.01wheredf=5

Given the following values of x, s, and n, form a 90% confidence interval forฯƒ2

a. x=21,s=2.5,n=50

b. x=1.3,s=0.02,n=15

c. x=167,s=31,n=22

d.x=9.4,s=1.5,n=5


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