State whether the following statements are true or false and also give the reason in support of your answer.
c) In SRSWOR, the possible numbers of sample of size n from a population of size N if sampling is done with replacement is Nn
d) One-way analysis of variance is a generalization of the two sample t-test.
e) If experimental error is reduced considerably and the efficiency of the design is decreased.
f) If strata are heterogeneous then stratified sampling schemes provides estimates with greater precision.
g) If one wants to convert random numbers selected from two digit numbers 00-99 to uniformly distributed U (0, 1) variables then one has to divide them by 99.
c) True. When sampling with replacement, the possible number of samples of size n from a population of size N is N^n, because each element in the sample can be selected from N possibilities for each of the n positions in the sample.
d) False. One-way analysis _______ _____ _________ ___ __________ __________ ________ _____ _______ ________.
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