16 In a certain test of hypothesis the critical t value is 2

16. In a certain test of hypothesis the critical t value is 2.07. Under this condition the null hypothesis would be rejected for all except the following observed t values (i.e. find the observed t value at which null hypothesis cannot be rejected):

a. 1.01

b. 10.01

c. 100.01

d. 1000.01

e. none of the above

21. Just as an observed t value can be negative, an observed F value can also be negative

a. True

b. False

22. The F distribution is:

a. Identical to the normal distribution

b. Positively skewed

c. Negatively skewed

d. Uniform

e. None of the above

23. At 5% level of significance, the critical value of F statistic with 5 numerator and 24 denominator degrees of freedom is:

a. 0.21

b. 2.62

c. 4.53

d. 4.80

e. None of the above. There is insufficient information as probability of Type II error has not

been provided in this problem.

Solution

17)

a=0.1 hypothesis would be rejected since p-value is less than alpha level of siginificance

18)

degrees of freedom = n-k

19)

df(between groups) = df(total) - df (wihingroups)

20)

F-value = MS(within groups)/MS(between groups)

21)

No, it cannot be negative since it is a mean squared metric