Sampling Distribution Practice Quiz
Quiz by RayDLC
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- Q1
Which distribution refers to the sampling distribution of the sample means?
The means of all possible samples drawn from a population without replacement
The means of all possible samples drawn from a population with replacement
Individual data points within a single random sample
The population mean itself across different random samples
60s - Q2
What does the Central Limit Theorem states about the sampling distribution of the sample means?
It will only be normally distributed if the original population is normally distributed.
It tends towards a normal distribution as the sample size increases, even for non-normal populations.
It relies solely on the size of the population and not the sample size.
It will always be a perfect normal distribution, regardless of the sample size or population distribution.
30s - Q3
Compared to a sampling distribution with a smaller sample size, the sampling distribution with a larger sample size will likely be:
Unaffected by the sample size, maintaining the same shape
More spread out with a wider range of possible means
Dependent on the specific data points chosen in each sample
Less spread out with a narrower range of possible means, more concentrated around the population mean
60s - Q4
Which of the following statements about the sampling distribution of sample means is true?
The mean of the sampling distribution is always equal to the population mean.
The mean of the sampling distribution can deviate from the population mean due to sampling error.
The mean of the sampling distribution is always larger than the population mean.
The shape of the sampling distribution is unrelated to the population distribution.
30s - Q5
What is the shape of the sampling distribution of the sample means if random samples of size 𝑛 become larger?
rectangular
right skewed
normal
left skewed
60s - Q6
Which sample size will give a smaller standard error of the mean?
25
30
35
20
60s - Q7
A certain population has a mean of 15 and a standard deviation of 6. If random samples of size 5 is taken from this population, what would be the mean of the sampling distribution of the sample means?
11
6
5
15
60s - Q8
A population has a mean weight of 150 pounds and a standard deviation of 10 pounds. You want to estimate the population mean by drawing random samples of size 25.
2 pounds
4 pounds
3 pounds
1 pound
120s