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# Which of the following are possible examples of sampling distributions? (Select all that apply.) mean trout lengths based on samples of size 5 average male height based on samples of size 30 heights of college students at a sampled universityaverage SAT score of a sample of high school studentsall mean trout lengths in a sampled lake # Which of the following are possible examples of sampling distributions? (Select all that apply.) mean trout lengths based on samples of size 5 average male height based on samples of size 30 heights of college students at a sampled universityaverage SAT score of a sample of high school studentsall mean trout lengths in a sampled lake

Question
Sampling distributions asked 2020-11-27
Which of the following are possible examples of sampling distributions? (Select all that apply.)
mean trout lengths based on samples of size 5 average male height based on samples of size 30 heights of college students at a sampled universityaverage SAT score of a sample of high school studentsall mean trout lengths in a sampled lake

## Answers (1) 2020-11-28
Step 1
We are given 5 examples from which we have to identify examples of sampling distributions.
First need to know what is mean by sampling distribution.
Step 2
The sampling distribution of a statistic is the distribution of the statistic for all possible samples from the same population of a given size.
It can also be defined as, the sampling distribution of a statistic is the distribution of that statistic, considered as a random variable, when derived from a random sample of size n
Step 3
Therefore, to identify sampling distribution, we first need sampling size for that distributions.
From given examples, only two examples having given sample size.
Hence,
Mean trout lengths based on samples of size 5
Average male height based on samples of size 30
These two are examples of sampling distribution.

### Relevant Questions asked 2020-12-07
Which of the following are possible examples of sampling distributions? (Select all that apply.)
mean trout lengths based on samples of size 5
average SAT score of a sample of high school students
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Which of the following are correct general statements about the Central Limit Theorem? Select all that apply.
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3. The word Central within its name, is meant to signify its role of central importance in the mathematics of probability and statistics.
4. The accuracy of the approximation it provides, improves when the trial success proportion p is closer to 50\%.
5. It specifies the specific mean of the curve which approximates certain sampling distributions.
6. The accuracy of the approximation it provides, improves as the sample size n increases.
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8. It is a special example of the particular type of theorems in mathematics, which are called limit theorems. asked 2020-12-05
Which of the following are correct general statements about the central limit theorem? Select all that apply
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2. It specifies the specific mean of the curve which approximates certain sampling distributions.
3. It is a special example of the particular type of theorems in mathematics, which are called Limit theorems.
4. It specifies the specific standard deviation of the curve which approximates certain sampling distributions.
5. It’s name is often abbreviated by the three capital letters CLT.
6. The accuracy of the approximation it provides, improves as the sample size n increases.
7. The word Central within its name, is mean to signify its role of central importance in the mathematics of probability and statistics.
8. It specifies the specific shape of the curve which approximates certain sampling distributions. asked 2021-02-09
Which of the following are correct general statements about the Central Limit Theorem?
(Select all that apply. To be marked correct: All of the correct selections must be made, with no incorrect selections.)
Question 3 options:
Its name is often abbreviated by the three capital letters CLT.
The accuracy of the approximation it provides, improves as the sample size n increases.
The word Central within its name, is meant to signify its role of central importance in the mathematics of probability and statistics.
It is a special example of the particular type of theorems in mathematics, which are called Limit Theorems.
It specifies the specific standard deviation of the curve which approximates certain sampling distributions.
The accuracy of the approximation it provides, improves when the trial success proportion p is closer to $$50\%$$.
It specifies the specific shape of the curve which approximates certain sampling distributions.
It specifies the specific mean of the curve which approximates certain sampling distributions. asked 2021-02-19
The distribution of height for a certain population of women is approximately normal with mean 65 inches and standard deviation 3.5 inches. Consider two different random samples taken from the population, one of size 5 and one of size 85.
Which of the following is true about the sampling distributions of the sample mean for the two sample sizes?
Both distributions are approximately normal with mean 65 and standard deviation 3.5.
A
Both distributions are approximately normal. The mean and standard deviation for size 5 are both less than the mean and standard deviation for size 85.
B
Both distributions are approximately normal with the same mean. The standard deviation for size 5 is greater than that for size 85.
C
Only the distribution for size 85 is approximately normal. Both distributions have mean 65 and standard deviation 3.5.
D
Only the distribution for size 85 is approximately normal. The mean and standard deviation for size 5 are both less than the mean and standard deviation for size 85.
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