5. Random samples of size n were selected from binomial populations with population parameters p given here. Find the mean and the stan- dard deviation of the sampling distribution of the sample proportion p = X in each case: a) п 3 100, р %3D0.3; b) n= 400, p = 0.1; c) п 3 250, р — 0.6.

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5. Random samples of sizen were selected from binomial populations
with population
dard deviation of the sampling distribution of the sample proportion
parametersp given here. Find the mean and the stan-
p=X in each case:
a) n = 100, p = 0.3;
b) п 3 400, р 3D0.13
с) п 3 250, р — 0.6.
6.
a) Let T have a t-distribution with 10 degrees of freedom. Find
P(T<1.812).
b) If F has an F-distribution with 5 and 10 degrees of freedom. find
a and b, such that P(a <F<b) 0.9.
1
Transcribed Image Text:5. Random samples of sizen were selected from binomial populations with population dard deviation of the sampling distribution of the sample proportion parametersp given here. Find the mean and the stan- p=X in each case: a) n = 100, p = 0.3; b) п 3 400, р 3D0.13 с) п 3 250, р — 0.6. 6. a) Let T have a t-distribution with 10 degrees of freedom. Find P(T<1.812). b) If F has an F-distribution with 5 and 10 degrees of freedom. find a and b, such that P(a <F<b) 0.9. 1
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