Midterm Math Practice Questions Flashcards
Consider a population, 2,4,3,7. Fix the sample size as 3, we can list all possible samples. According to central limit theorem, the standard deviation/error of sample means is:
1.08
When p = 0.35, the standard normal value Z is:
-0.39
When p = 0.95, the standard normal value Z is:
1.64
Consider a population 3,5,5,7. Fix the sample size as 2, we can list all possible samples. According to central limit theorem, the variance of sample means is:
1
P(z>1.65) is:
0.0495
A population consists of 10 observations. Set the sample size as 5. The total number of possible samples using systematic sampling method is:
2
P(-1<z<2.5) is:
0.8351
X follows a normal distribution with mean 3 and variance 25, the probability of X being larger than 10 is:
0.08
A population consists of 14 observations. Fix the sample size as 4, if order is not important, the total number of possible samples using simply random sampling method is:
1001
X follows a normal distribution with mean 20 and variance 4, when p = 0.75, X is:
21.35
Consider a population 2,4,3,7. Fix the sample size as 3, we can list all possible samples and calculate all sample means accordingly. The mean of sample means is:
4
