Sampling Distributions
What is a sampling distribution?
What is the mean of the sampling distribution of the sample proportion?
A polling agency plans to ask a random sample of 500 registered voters who they plan to vote for in an upcoming election. The population proportion is unknown. If the true population proportion of voters favoring a particular candidate is 0.5, what is the standard deviation of the sampling distribution of the sample pr...
A researcher wants to estimate the proportion of adults who support a new law. They plan to take a simple random sample. How does increasing the sample size affect the spread of the sampling distribution of the sample proportion?
Which condition is essential to ensure that a sample is representative of the population when constructing a sampling distribution of proportions?
A survey is being conducted at a large university with 20,000 students to estimate the proportion of students who support a new campus policy. A simple random sample of 1,000 students is selected. Which condition needs to be checked to ensure the independence of observations in the sample?
A researcher plans to survey a random sample of 500 adults to estimate the proportion who have been vaccinated against the flu. Prior studies suggest the proportion is around 40%. Is the large counts condition satisfied?
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What is the mean of the sampling distribution of sample means?
A population has a standard deviation of 15. A researcher takes a random sample of size 25 from this population. What is the standard deviation of the sampling distribution of the sample mean?
A researcher is studying the average height of trees in a forest. They plan to take a random sample of trees. How does increasing the sample size affect the standard deviation of the sampling distribution of the sample mean?