(a) The coefficient of skewness for the t-distribution is 0. (b) The order of th

Question

(a) The coefficient of skewness for the t-distribution is 0.

(b) The order of the differential equation (d^3y/dx^3) + (dy/Dx)^4+6y=3 is four.

(c) When the population is divided into mutually exclusive sets, and then a simple random sample is drawn from each set, this is called cluster sampling.

(d) The probability of incorrectly failing to reject the null hypothesis when the null hypothesis is actually false is a Type I error, denoted by the level of significance, 1 - alpha.

(e) If you reject the specific null hypothesis at 1% level of significance then the same null hypothesis will be rejected at 5% level of significance as well.

Explanation / Answer

a) true. since the asymptotic distribution of t is normal.

b) false as the highest order differential is 3.

c) false. in stratified random sampling we also divide the population in to mutually exclusive sets.

d) false. it is the power of the test.

e) true.

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