Multiple Choice Exercise

*** Choose one answer and click [Submit] button

4.1 What is the set of whole data for a characteristic value?

whole data
sample
population
subset

        

4.2 To find out one characteristic of a population, what is a subset of the population called?

whole data
sample
population
subset

        

4.3 Which survey method is more appropriate to investigate the number of foreign workers in one country in 2020?(

sample survey
total survey
small survey
visiting survey

        

4.4 Which survey method is more appropriate to investigate the approval rating of a particular candidate in a presidential election?

sample survey
total survey
small survey
visiting survey

        

4.5 A population follows the normal distribution with mean of 10 and variance of 2. If you select 10 samples randomly from the population, what is the average of the sample mean \(\overline X\)?

1
2
5
10

        

4.6 A population follows the normal distribution with mean of 10 and variance of 4. If you select 10 samples randomly from the population, what is the variance of the sample mean \(\overline X\)?

4
0.4
5
10

        

4.7 It is said that the length of bolt products produced in one factory follows a normal distribution with the mean of 10mm and the standard deviation of 1mm. When 25 samples are randomly selected from this population, find \(P(9.8 \le X \le 10.2)\).

1.000
0.955
0.999
0.683

        

4.8 It is said that the length of bolt products produced in one factory follows a normal distribution with the standard deviation of 1mm. When 25 samples are randomly selected from this population, the sample mean is 9mm. What is the 95% confidence interval for the mean length of bolt products?

9 ± 1.96 ×1
9 ± 1.96 × \(\frac{1}{\sqrt{25}}\)
9 ± 2.575 × \(\frac{1}{25}\)
9 ± 1.96 × \(\frac{1}{25}\)