Question

a, Find the critical​ F-value for a​ right-tailed test using the indicated level of significance α and degrees of freedom d.f.N and d.f.D.

α=0.10​, d.f.N=7​, Dd.f.=24

The critical​ F-value is _____

​(Round to two decimal places as​ needed.)

b.Find the expected​ frequency, Ei​, for the given values of n and pi.

n=230​, pi=0.27

Ei= _____ ​(Type an integer or a​ decimal.)

Answer 1

a). In order to reduce the size of the table of critical values, the larger sample variance is placed in the numerator. The critical value of F for a right-tailed test is found by dividing the significance level in half. Hence for a test at the 0.10 level, use the F-table for the 0.10 significance level. For 6 = 7-1 degrees of freedom in the numerator and 23 = 24-1 degrees of freedom in the denominator, the critical value is 2.05.

b). Ei = n*pi = 230*0.27 = 62.1