Activity 1: Read and analyze the story below Write the letter of the correct answer on the
space provided before the number
1. The mean and standard deviation of a population are 40 and 20, respectively The
sample size is 100 What is the standard error of the mean?
A2
B 20
C 10
D1
2. The mean and standard deviation of a population are 100 and 25 respectively
Sample size is 50. What is the mean of the sampling distribution?
A 40
B. 25
C.50
D. 100
3. According to Central Limit theorem, which sample size will give a smaller standard
error of the mean?
A 25
B125
C. 50
D 100
4. If a population is not normally distributed, the distribution of the sample means for
a given sample size n will
A take the same shape as the population C negatively skewed
B positively skewed
D approach a normal distribution as n increase
_5 What is the standard error of the mean if the sample size is 38 with standard
deviation of 12?
A.0.3
B 0.4
с 05
0.1
6. If a population has a mean of 2.56, then the mean of the sampling distribution of
the sample means is
A 6.52
B 1.28
C 2.56
D.5.12
7. The mean of the population is equal to the
A Standard error of the mean
C Mean of the sampling distribution of sample means
B Standard deviation
D. Population
For item 8
Suppose the average scores of all Grade 11 Students in CNHS is 40 with standard
deviation of 12. Assume that the scores are normally distributed, and 25 Grade 11 students are
randomly selected
8. Compute the standard error of the mean
A.2
B. 24
C.25
D.3
For Item 9-10
The amount of fuel used by jumbo jets to take off is normally distributed with a mean of
800 gallons and a standard deviation of 40 gallons. A sample of 20 jumbo jets are randomly
selected
9 Compute the Z-score for 600 gallons
A-1.24
B.-224
C.224
D. 124
10. What is the probability that the mean number of gallons of fuel needed to take
off for a randomly selected sample of 20 jumbo jets wil be less than 600 gallons?
A. 0.12%
B. 12 6%
C. 126%
D 126%​