3. Random samples of size n were selected from populations with theE means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case: a) n= 36, u = 10, o? = 9; %3D b) n= 100, u = 5, o² = 4; c) n= 8, u = 120, o2 = 1.

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3. Random samples of size n were selected from populations with the
means and variances given here. Find the mean and standard deviation
of the sampling distribution of the sample mean in each case:
a) n 36, u = 10, o2 = 93;
b) n=100, u = 5, o2 = 43;
%3B
C) n-8, μ = 120, σ-1.
4. Refer to Exercise 3.
a) If the sampled populations are normal, what is the sampling dis-
tribution of X for parts a), b), andl c)?
b) According to the Central Limit Theorem, if the sampled pop-
ulations are not normal, what can be said about the sampling
distributiom of X for parts a), b), and c)?
5. Random samples of size n were selected from binomial populations
18
bp
Transcribed Image Text:3. Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case: a) n 36, u = 10, o2 = 93; b) n=100, u = 5, o2 = 43; %3B C) n-8, μ = 120, σ-1. 4. Refer to Exercise 3. a) If the sampled populations are normal, what is the sampling dis- tribution of X for parts a), b), andl c)? b) According to the Central Limit Theorem, if the sampled pop- ulations are not normal, what can be said about the sampling distributiom of X for parts a), b), and c)? 5. Random samples of size n were selected from binomial populations 18 bp
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