Difference between sample mean and population mean


Complete the following mcq:

Q1: Suppose a population consisted of 20 items. How many different samples of n = 3 are possible?

A. 1140
B. 6840
C. 20
D. 120

Q2: The difference between the sample mean and the population mean is called the

A. Population standard deviation.
B. Population mean.
C. Standard error of the mean.
D. Sampling error.

Q3: We wish to develop a confidence interval for the population mean. The population follows the normal distribution, the standard deviation of the population is 3, and we have a sample of 10 observations. We decide to use the 90% level of confidence. The appropriate value of to represent the level of confidence is

A. t=1.812
B. z =1.65
C. t=1.833
D. z=1.96

Q4: A confidence interval

A. Always includes the population parameter.
B. Decreases in width as the sample size is increased.
C. Cannot include a value of 0
D. None of these

Q5: Which of the following statements is not a characteristic of the t distribution?

A. Like z there is only one t distribution.
B. It is a continuous distribution.
C. It is symmetrical.
D. It has a mean of 0.

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Basic Statistics: Difference between sample mean and population mean
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